MATHS
Suggeste Sugg ested d Classes: Classes: 12 12 - 14
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Every great legend begins with a spark
Have you ever wondered ? Why shouldn’t I keep counting in in Ones?
Why do we group numbers in Tens?
24
A
A The Big Idea!
“We make groups of 10 to make counting large numbers easier” Which way is it easier to calculate the total cookies?
OR
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Hi kids, yo u alre ady learne d about two digit numbers. Today we will take a step further and l earn about three digit numbers. We will learn about the pl ace value Hundred and numbers.
how
to
read
and
write
t hre e
digit
At A t t h e e n d o f t h e l e s s o n , y o u w i l l b e a b l e t o c o u n t n u m be be rs rs t i ll ll H u n d r e ds ds p l ac ac e a n d c a l c u l a t e t h e n u m be be r s w it it h t hr hr ee ee d i gi gi ts ts .
1. Three hree Digi Digitt Numb umbers ers A three digit number is is a number which contains 3 digits such that the first first digit cannot be zero. For e.g, 129, 709, 300, 510 etc. The table below shows the place values of different digits in a three digit number. !"#$%&$'
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*+,-& /,+"&
.--
.-
.
0++12&$ 34546'
.0A
-0A
-0A
The numbers numbers 012, 009, 000 etc are not three three digit numbers, as they all have 0 as the first digit. REMEMBER
Following are some of the properties of three digit numbers: • A three digit number has the Hundreds place with the highest highest place value. • Hundreds place comes after after Tens place such that 100 100 = 10 × 10. • The smallest smallest 3 digit number is 100. 100. • The biggest 3 digit number is is 999.
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2. Repres Represent enting ing three three digit digit number numberss using using number number cubes cubes Consider the following scenario: Let 1 unit (or number 1) be represented by a cube or block
.
Then 10 units can be obtained by combining 10 cubes as:
Similarly, 100 units can be obtained by combining ten 10 units as:
10 times Ten (10
×
10) = Hundred (100)
10 times One (10
×
1) = Ten (10)
REMEMBER
3. Coun Counti ting ng thr three ee digi digitt numb number erss usin using g cube cubess Now let us use the cubes learned above to represent three digit numbers.
a)
We know that each collection of cubes represents 100. Since there are 3 collections, therefore, Three digit number = 3 times 100 = 300.
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b)
Number of hundreds = 1 times 100 = 100 Number of tens = 3 times 10 = 30 Number of ones = 4 times 1 = 4 Therefore, three digit number = 100 + 30 + 4 = 2134
c)
Number of hundreds = 2 times 100 = 200 Number of tens = 0 times 10 = 0 Number of ones = 3 times 1 = 3 Therefore, three digit number = 200 + 0 + 3 = 203
If the cubes for a particular place value are missing, we TIP
assign 0 as the value of the digit.
4. Calc Calcul ulat atin ing g thr three ee digi digitt num numbe bers rs Consider the following coins with different place values. What is the total amount of money in words?
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Let us first arrange all the coins according to their place values:
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From the table above, we can calculate the total amount as: Total amount = (6 times 100) + (4 times 10) + (5 times 1) = 600 + 40 + 5 = 645 Now, to write the amount in words, we write the appropriate place values along with the value of the digit. 6 times 100 = 600 = Six hundred 4 times 10 = 40 = Forty 5 times 1 = 5 = Five Hence, 645 = 600 + 40 + 5 = Six hundred f orty five.
!
SUMMARY
!
!
!
A three digit digit number is a number whose highest highest place value is Hundreds place. Hundreds places comes after Tens place such that 10 times Tens = Hundred. A Hundred Hundred can be be represented by a collection of cubes made up of 10 units of 10 small cubes. To calculate a three digit number, we add the value of all the digits with their appropriate place values.
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Master what you have learned and hone your skills in return for prestige
EASY 1. Fill in the the numbers numbers in the the followi following ng hundre hundreds ds chart. chart. a) Hund Hundre reds ds char chartt 1 12
3
4
6
13
14
15
16
18
26
28
21
22
24
25
31
32
34
35
41
42
43
52
53
61
62
71
72
45 54 64
73
81
83 92
84 94
7
9
37
65 75
76
85
86
20 29 39
46 56
10
48
50
57
59
67
69
70
78 87
96
80
88
89
98
99 99
90
b) Solve the followi following ng puzzles puzzles using the hundred hundred chart. i)
ii) 22 65
31 32 33 42 43 44 83 iii)
59
iv) 46
88
63
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2. Group the following following items in in groups groups of tens tens and write the the total total number number of tens in the number.
Number
T en s
a) 40
4
b) 30
c) 20
d) 90
e) 10
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3. In the the followin following g crossword, crossword, ident identify ify all all the 100’s 100’s – across and and below, below, and and circle circle it 1
8
9
1
0
0
3
0
6
1
3
0
6
4
8
3
I
1
0
0
0
3
1
2
0
1
5
2
1
5
9
5
0
9
5
4
9
3
0
4
1
8
0
1
0
0
7
1
0
6
5
8
2
3
6
8
9
5
3
0
6
1
0
0
8
1
3
1
7
1
4
3
2
1
3
7
9
0
0
5
4
0
5
1
0
0
5
0
3
4
1
0
0
2
4
8
1
3
7
9
4. The grid consists of 100 cubes. Calculate the total number of cubes below elow and and circ circle le the the corr correc ectt number mber..
a)
d) 800 200 600 400
b)
200 10 100 700 30 300
e) 500 500 300 300 200 200 100 100
c)
100 100 800 800 400 400 200 200
f) 400 200 200 500 600 600
700 900 900 600 800 800
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5.
Dist Distri ribu bute te each each of this this grid gridss in into grou group p of 10 and and wri write te how how many many tens tens are are there in each of these hundreds. d)
a)
A:34
.-
A:34
e) b)
A:34
A:34
f)
c)
A:34
A:34
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6. Write down down the the hundreds, hundreds, tens tens and ones for for each of of the followi following ng figures figures
AB3=%:=4
C:34
D3:4
AB3=%:=4
C:34
D3:4
,
E
.
AB3=%:=4
C:34
D3:4
AB3=%:=4
C:34
D3:4
AB3=%:=4
C:34
D3:4
AB3=%:=4
C:34
D3:4
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7. Circle Circle the boxes boxes whose whose tot total al is 100 100
1+1+1+1….(100 times) 99 + 1 tens 9 tens + 1 tens 99 + 1 90 tens + 10 100 ones 10+10+10+10+10+10+10+10+10+10
1+1+1+1+1…..(10 times)
9 tens + 1
8. Circle the hundred hundreds, s, tens and and ones ones needed needed to form form the given given number. number.
a)
231
100
100
10
10
1
1
100
100
10
10
1
1
100
100
10
10
1
1
10
10
1
1
1
1
100
100
10
10
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b)
572
100
100
10
10
1
1
100
100
10
10
1
1
100
10
10
1
1
10
10
1
1
1
1
100
100
100
c)
10
10
809
100
100
10
10
1
1
100
100
10
10
1
1
100
100
10
10
1
1
10
10
1
1
1
1
100
100
d)
10
10
160
100
100
10
10
1
1
100
100
10
10
1
1
100
100
10
10
1
1
10
10
1
1
1
1
100
100
10
10
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NORMAL
9. 1 rectangular box contains 10 pens. For each of the following questions, how many more boxes should be added so that there are 100 pens in total. Draw the extra boxes in the space provided and fill in the blanks
a)
10 pens 10 pens 10 pens Tens +
6 10 b)
Tens =
10 pens
10 pens 10 pens
10 pens
10 pens
10 pens
10 pens 10 pens Tens =
4 1
10
Tens
Hundred
10 pens
10 pens
Tens +
Tens = Hundred
Tens = c)
Tens
10 pens
10 pens
10 pens
10 pens
10 pens Tens + Tens =
Tens =
Tens
Hundred
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d)
10 pens
10 pens
10 pens
10 pens
10 pens
10 pens
10 pens
10 pens
Tens +
Tens =
Tens
Hundred
Tens =
10. 10. Write Write the the miss missin ing g numb numbers ers
Number
a)
640
b)
300
c)
894
d)
903
e)
690
Hundreds
Tens
Ones
6
4
0
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11. A number number has has been partit partitione ioned d into hund hundreds reds,, tens and and ones. Put them together to form the three digit number. =
40
+
9
+
0
+
7
=
50
+
3
=
0
a)
300
+
b)
700
c)
900
+
d)
500
+
10
+
e)
0
+
90
+
6
f)
100
+
0
+
0
349
=
=
=
12. Calculat Calculate e how many many hundr hundreds eds are are there there and write write them them in words a) 100
100
100
100
Four Hundred
400 b) 100
100
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c) 100
100
100
100
100
d) 100
13. There There are 10 grape grapess in a bunch bunch of of grapes. grapes. Group Group them them in hundreds by drawing a circle around them and calculate total number of grapes a)
12
Tens =
1
Hundred +
Total number of grapes :
2
Ten
120
b)
Tens =
Hundred +
Ten
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c)
Tens =
Hundred +
Ten
Total number of grapes : d)
Tens =
Hundred +
Ten
Total number of grapes : e)
Tens =
Hundred +
Ten
Total number of grapes :
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14. Write Write figures figures for the following following numbers numbers a)
Four Hundreds Two Tens Three Ones
b)
Nine ine Hun Hundr dred edss Fiv Five e Ten Tenss Six Six Ones Ones
c)
Thre Th ree e Hu Hundre ndreds ds Zero Zero Te Ten ns Fou Fourr Ones Ones
d)
One One Hun Hundr dred edss Fo Four ur Te Ten ns Zer Zero o One Oness
e)
Zero ero Hundr undred edss Five Five Te Tens ns One One One Oness
f)
Eig Eight Hu Hundreds eds Tw Two Ten Tenss Th Three Ones
421
15. Write Write the the missin missing g numb numbers ers.. 937
a) 9 b)
Nine Nine hundred hundred and thirtythirty- seven Hundreds
Ones
Tens
Ones
Tens
Ones
Nine hundred and ninety-nine Hundreds
e)
7
Six hundred and eighty Hundreds
d)
Tens
Four hundred and forty Hundreds
c)
3
Tens
Ones
Three hundred and four Hundreds
Tens
Ones
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16. Match Match the the numbers numbers with its correct correct word. word.
Number
a)
274
b)
102
c)
486
d)
500
e)
620
f)
999
g)
731
Words
1)
2)
Nine hundred and ninety-nine
3)
4)
Six hundred and twenty
Two hundred and seventy-four
5)
6)
7)
Five hundred
One hundred and two
Seven hundred and thirty-one
Four hundred and eighty-six
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SUPER
17.
Fill in the empty spaces in the number line
a) 189
190
191
192
193
194
b) 206
210
c) 547
545
d) 710
713
e) 921
925
f) 102
98
g) 610
608
18. Choose Choose the the correct correct option option and and fill fill in the blank blanks. s. a) 400 can also also be writte written n as
tens. tens.
i) 4 ii) 40 iii)400
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b) 401 401 can can be be expa expand nded ed as as i) 41 tens ii) 4 hundreds, 1 tens, 0 ones iii) 4 hundreds, 0 tens, 1 ones c) Four hundred hundredss two tens tens seven seven ones ones can be written written in figures figures as i) 427 ii) 247 iii) 742 d) 57 tens tens can be written written in figures figures as i) 57 ii) 570 iii) 507 e) Four hund hundred red and and fifty-six fifty-six can can be expressed expressed in in the expand expanded ed form as
i) four hundreds five tens six ones ii) four hundreds six tens five ones iii) five hundreds four tens six ones 19. Circle Circle the correc correctt figu figure. re. a) Tw Two o Hun Hundre dred d and and fortyforty-fiv five e 542
245
425
b) Six Six hun hundr dred ed and and fiv five e 506
65
605
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c) Nine Nine hund hundre red d an and ten ten 109
910
901
d) Two hund hundred red and and twent twenty-s y-six ix 226
622
262
e) Seven Seven hun hundr dred ed and and nin ninety ety-ni -nine ne 979
799
797
20. Write Write the the followi following ng numbers numbers in figures figures a)
Two hundred and sixty-six
b)
Three hundred and forty-five
c)
Five hundred and nine
d)
Six hundred and twenty
e)
Seven hundred and eight
21. Write the following following numbers numbers in figur figures es a) 46 tens
460
b) 30 tens c) 87 tens d) 51 tens e) 25 tens
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22. 22. Write Write the the followi following ng numb number er in word wordss
a)
227
b)
540
c)
102
d)
649
e)
857
f)
Two hundred and twenty-seven
365
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OLYMPIAD
23. Solve the the followin following g word problems problems on your Notebo Notebook. ok. a) Togo buys two packets of cookies. Each packet has 10 cookies. How many tota totall cook ookies ies did Togo ogo buy buy? b) Captain Spark has to buy new shoes. The shoes cost Rs 840. Captain Spark only has Rs 100 and Rs 10 notes. How many Rs 100 and Rs 10 notes should he use to pay? c) Togo is building tower of cubes. Each tower is made of 10 cubes. If he has 200 cubes in all, how many more towers can he make?
24. Write figur figures es for the the following following numbers numbers in your your Notebo Notebook. ok. a) One hundred hundred,, forty-fi forty-five ve tens, tens, eight eight ones b) Two hundred, forty tens, five ones
25. Roxy bought bought food packets packets as shown shown below. below. How How many total total food packets packets did did she buy? Write in your Notebook. a)
January
b)
February
10 Packs
10 Packs
10 Packs
10 Packs
10 Packs
c)
March
d)
April 10 Packs
10 Packs 10 Packs
e)
Ma M ay 10 Packs
f)
June 10 Packs 10 Packs
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!"#$% '()$ #*"+%,%-%./01
What were you supposed to learn in this module?
What did did you learn learn in this module? module? 1.
2.
3.
4.
What still confuses you?
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!"#$ &'
Every great legend begins with a spark
Have you ever wondered ?
How did early humans count?
Is it possible to keep drawing lines for every number? Imagine what would happen if you had to count 500? What could be a solution?
The Big Idea! “We create groups of numbers and groups of groups to write down larger numbers”
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!"#$ &'
!"#$%&'()*+ )# *+$ *- (.$ /%$'($#( 0*1$%# )+ (.$ 2+)&$ %#$
Hi kids, until now you l earned about the concept of t hre e digit numbe rs. Today we will learn about the place values of different digits in a t hre e digit number. At A t t h e e n d o f t h e l e s s o n , y o u w i l l b e a b l e t o f i n d t h e place val ues of different digit s and write a three digit n u m be be r i n e xp xp an an d e d f or or m. m.
1. Place Value In our number system, the place value of a digit is the value of the digit depending upon its place or position in the number. We can use a place-value chart as below to understand the value of each position in a number.
!"#$%&$'
(&#'
)#&'
.--
.-
.
*+,-& /,+"&
Each column in the place-value chart represents a particular place value. We start from left and increase the value in each column 10 times. Therefore, each place has a value of 10 times the place to its right. In other words we use base 10 to move from one digit to the next. Therefore, Ones = 1 Tens = 10 times Ones Hundreds = 10 times Tens = 100 times Ones
We can make even bigger numbers (4 digits, 5 digits, 6 digits and so on), by increasing the place value by 10 for every TIP
additional digit.
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EXAMPLE
Consider the four digit number 597. Using the place-value chart, we can repr repres esen entt the the numb number er as: as:
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*&#'
+#&'
())
()
(
A
B
/
• The digit git ‘5’ has a place value of Hundred (100). Therefore, re, val value of digit ‘5’ ‘5’ = 5 times 100 = 500. • The digit git ‘9’ has a place value of Ten (10). Therefore, re, val value of digit ‘9’ ‘9’ = 9 times 10 = 90. • The digit ‘7’ has a place value of One (1). Therefore, value of digit ‘7’ = 7 times 1 = 7. Now, let us use a num number tra train to repr repre esent ent the val values ues of diff diffe erent rent digi digitts.
H
T
O
5
9
7 7×1=7 9 × 10 = 90 5 × 100 = 500
If we change the place values of the digits in a number, then the value of the number will change. REMEMBER
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2. Expa Expand nded ed form form of a num numbe berr In expanded form, we write a number as the sum of the values of different digits. We already learned how to find the value of each digit by using the place values. So let us try to write a number in the expanded form. Consider the number 243. Let us find the value of all the digits using the number train.
H
T
O
2
4
3 3×1=3 4 × 10 = 40 2 × 100 = 200
Therefore, the number in the expanded form can be written as:
243 = 200 + 40 + 3
20 0
40
3
Expanded Number Train
3. Calc Calcul ulat atin ing g thr three ee digi digitt num numbe bers rs Consider the following place-value chart with coins of different place values arranged accordingly. What number does the chart represent?
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!"#$%&$'
*&#'
+#&'
())
()
(
Hundreds digit = Number of coins with place value 100 = 3 Tens digit = Number of coins with place value 10 = 2 Ones digit = Number of coins with place value 1 = 4 Therefore, the three digit number = 324
!
SUMMARY
! !
!
!"#$%&$'
*&#'
+#&'
())
()
(
A
,
B
The place value of a digit is the value of the digit depending upon its position in the number. The number system uses base 10 for place values. To find the value of a digit, we multiply the digit with its place value. In expanded form, we represent the number as a sum of the values of all the digits.
AB !"#$%&'() + ,-./0.1 2&34#5%6 733"85)&"34 9:5%3&3' ;8)< 9)=< >?? @&'()4 @:4:%8:=<
PRACTICE Master what you have learned and hone your skills in return for prestige
EASY 1.
Togo To go has coll collec ecte ted d some some coins coins valu valued ed 1, 10 and and 100. 100. Can Can you you help help him count count the amount of money that he has collected?
ABA
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2.
Find the place values for all the digits of the following number.
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3.
Face value value represent representss the numeric numeric value value of a digit. digit. For the following following numbers numbers
write down the place value and the face value of its digits
a) 427 Digits Place value Face value
b) 839 4
2
7
400
20
7
4
2
7
Digits Place value Face value
c) 504
d) 390
Digits
Digits
Place value Face value
Place value Face value
e) 90
f) 600
Digits
Digits
Place value Face value
Place value Face value
g) 701
h) 369
Digits
Digits
Place value Face value
Place value Face value
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4. The number next to a given number can be obtained by increasing the number of ones by 1
H
T
O
H
T
O
9
5
6
9
5
7
+1 Count on in ones from the given starting numbers.
a)
98
99
b)
404
405
c)
136
139
143
d)
900
903
907
e)
8
9
f)
888
889
100
101
102
103
409
104
105
411
13
895
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5.
The numbe numberr previous previous to a given given numbe numberr can be obtaine obtained d by decrea decreasing sing the
number of ones by 1
H
T
O
H
T
O
3
8
2
3
8
1
-1 Count by decreasing one from the given starting numbers.
a)
109
108
b)
369
368
c)
400
399
d)
656
655
e)
94
93
f)
777
776
107
106
105
104
103
102
365
393
652
89
770
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NORMAL
6. An abacus abacus is a calculating calculating device. device. The rods rods on the abacus represe represents nts differen differentt place values like ones, tens, hundreds etc. In the given numbers, identify the digits at the ones, tens and hundreds place and accordingly draw beads on the abacus to represent that number.
a)
b)
H
T
O
H
234
T
O
572
c)
d)
H
T
O
H
604
T
O
815
e)
f)
H
T 370
O
H
T
O
900
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7.
Write Write the place place values values for each each digi digitt of the follow following ing number numbers. s.
Hundreds
a)
839
c)
472
d)
802
e)
200
f)
730
g)
90
h)
8
i)
123
T en s
Ones
0 0 1
0 1
1
800
30
9
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8.
Identify the number from the given numbers and answer the questions.
5
123
409
35 272
99
400
a)
A two two dig digit it num numbe berr wit with h the the same same dig digit it in in the tens and the ones place.
b)
Three Thre e digi digitt numb number er wit with h the the high highes estt face face value 3.
c)
A number which has the same digit in the hundr undred edss and and the the ones ones plac place. e.
d)
A number which has the same value, place valu value e and and face face valu value. e.
e)
A num numbe berr wit with h zer zero o ten tenss and and zero zero ones ones..
f)
Four hundred and nine.
g)
Three tens five ones
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9. Calculate the place values values of all all the digits and find the number.
a)
b)
H
T
O
H
T
O
H
T
O
H
T
O
500 + 50 + 5 = 555 c)
d)
H
T
O
e)
f)
H
T
O
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10.
The sum sum of the plac place e values values of each each digi digitt will be be equal equal to the numbe number. r.
Expand the following numbers.
a)
b) H
T
O
H
T
O
8
3
7
2
0
7
837 = 800 + 30 + 7
c)
d) H
T
O
H
T
O
5
8
3
9
0
e)
f) H
T
O
H
T
O
7
0
1
8
9
g)
h) H
T
O
H
T
O
3
8
0
5
0
0
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11.
a)
Expand and find the place value of the digits
H
7
b)
T
O 4 Ones = 4
3
0
3 Tens = 30
0
0
7 Hundreds = 700
e) T
f)
H
T
O
T
O
T
O
T
O
970 H
O
58
626 H
4
492 H
c)
d)
734
106 H
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12.
Given the place place value value of all the digits, digits, find find out which number these digits digits
represent.
a)
H
T
O
b)
H
T
3
c)
2
0
6
0
0
6
2
3
H
T
O
6
d)
9
0
8
0
0
H
T
O
5
e)
2
0
9
0
0
H
T
O
0
f)
3
0
6
0
0
H
T
O
0
0
1
0
0
0
O
9
2
0
0
0
0
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13.
The place value of digits of a number are given below. Identify the number
and write it down in the space provided.
a) 400 + 30 + 2
b) 700 + 2
432
c) 100 + 70 + 8
d)
600 + 50
e)
800 + 80 + 8
f)
30 + 9
g)
200 + 60
h)
90 + 1
i)
300 + 80 + 6
j)
900 + 50 + 8
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14.
Skip counting by 10 a)
Togo is playing a game of jumping on numbered squares where he is supposed to jump 10 steps at a time. Can you help Togo decide which step to take next
i)
+ 10
75
ii)
85
95
105
115
125
135
145
+ 10
356
iii)
366
+ 10
200
iv)
210
+ 10
89
v)
99
+ 10
736
vi)
746
+ 10
1
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b)
Togo Togo wants wants to trac trace e his steps steps backw backward ardss now, now, again again ten ten at a time.
i)
-10
195
ii)
145
135
125
690
386
510
- 10
928
vi)
155
- 10
520
v)
165
- 10
396
iv)
175
-10
700
iii)
185
918
- 10
105
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SUPER
15. Draw discs on the abacus according to the number. Also write down the face value and place value for each of the digits
a)
b) 324
626
H Face value Place Value
T
O
6
2
6
Place value
600
20
6
Face Value
c)
H
T
O
H
T
O
H
T
O
d)
208
710
H
T
O
Place value
Place value
Face Value
Face Value
e)
f)
435
100
H
T
O
Place value
Place value
Face Value
Face Value
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16.
Write the place value of the underlined digit in figure and in words. a) b) c) d) e) f) g) h)
17.
483
80
Eight tens
39 900 809 183 46 590 427
Answer the following questions. a)
Write Write the the val value ue of 3 in the the fol follo lowi wing ng numb numbers ers..
123 b)
300
407
75
59
953
981
869
Write Write the the val value ue of 1 in in the the foll follow owin ing g num numbe bers. rs. 1
f)
306
Write Write the the val value ue of 8 in the the fol follo lowi wing ng numb numbers ers..
408 e)
30
Write Write the the val value ue of 5 in in the the foll follow owin ing g num numbe bers. rs.
305 d)
30
Write Write the the val value ue of of 7 in in the the foll follow owin ing g numb numbers ers..
379 c)
3
12
123
Write Write the the val value ue of 9 in in the the foll follow owin ing g numb numbers ers..
190
92
951
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18. Circle the numbers as instructed a)
Circl Circle e each each num numbe berr wher where e pla place ce val value ue of of 5 is is 50 356
b)
890
93
909
392
25
93
909
392
468
96
38
86
Circl Circle e each each num numbe berr wher where e pla place ce val value ue of of 4 is is 400 400 409
f)
685
Circl Circle e each each numb number er whe where re face face val value ue of 6 is is 6 679
e)
95
Circl Circle e eac each h num numbe berr whe where re face face valu value e of of 2 is 2 289
d)
58
Circl Circle e each each num numbe berr wher where e pla place ce val value ue of of 9 is is 90 409
c)
593
945
436
40
84
Circ Circle le each each numb number er whe where re plac place e val value ue of 3 is is 3 463
309
93
435
392
19. The following numbers are written in their expanded form. Fill in the missin missing g number numbers. s.
a)
836
=
800
b)
439
=
400
c)
999
=
d)
320
=
e)
608
=
f)
45
=
30
6
9 9
90
300
20
600
40
8
5
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20. Skip Counting
H
T
O
H
T
O
H
T
O
H
T
O
3
8
2
3
9
2
4
7
6
4
6
6
+10
-10
H
T
O
H
T
O
H
T
O
H
T
O
3
8
2
4
8
2
4
7
6
3
7
6
+100
a)
-100
Observe Observe the first two numbers numbers,, identi identify fy if they are increasin increasing g by tens or hundreds and fill in the remaining numbers
i)
80, 90,
ii)
160, 170
iii)
100, 200
iv)
550, 560
v)
300, 400
vi)
910, 920
100
110
120
130
140
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b)
21.
Observe Observe the first first two numbers numbers,, identi identify fy if if they they are are decrea decreasing sing by tens tens or hundreds and fill in the remaining numbers i)
110, 100
ii)
360, 350
iii)
700, 600
iv)
500, 490
v)
900, 800
vi)
80, 70
90
80
60
70
50
Captain Spark has collected lots of coins and his coin bag is full. He can trade
the the coi coins in the the follo ollow wing ing ways: ays: Ten coins valued 1 -------> One coin valued 10 Ten coins valued 10 -------> One coin valued 100 Help him trade the coins and then arrange them in the hundreds, tens and ones column to find the total amount. a)
100
10
Hundreds
Tens
Ones
4
9
4
494
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b)
Hundreds
Tens
Ones
Tens
Ones
c)
Hundreds
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d)
Hundreds
Tens
Ones
Tens
Ones
e)
Hundreds
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!"#$% '()$ #*"+%,%-%./01
What were you supposed to learn in this module?
What did did you learn learn in this module? module? 1.
2.
3.
4.
What still confuses you?
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!"#$ &'
Every great legend begins with a spark
Have you ever wondered ? How to choose the same toy in various shops?
From where should my parents buy Lego Game for me?
OR !" $%&
!" '(&
>) A(: BC(""? B)"%:
>) A(: B("##&3' D5??
The Big Idea! “We need to compare quantities to take important decisions such as what is more or less” How do you compare two numbers?
!
100 vs
!
10
50 vs
!
5
!
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)*+, %-
!"#$%&'()*+ )# *+$ *- (.$ /%$'($#( 0*1$%# )+ (.$ 2+)&$ %#$
Hi kids, until now you l earned about the concept of t hre e digit numbers. Today we will le arn ho w to do the c o m p a r i s o n o f t hr hr e e d i g i t n u m b e r s u s i n g t h e p l a c e v a l u e concept. At A t t h e e n d o f t h e l e s s o n , y o u w i l l b e a b l e t o c o m p a r e any gi ve n t hre e digit num bers by com pari ng t he place v al al ue ue s o f d i ff ff er er en en t d ig ig i ts ts
1. Comparing nu numbers As we know, numbers represent represent count of something. Therefore, Therefore, comparing numbers is helpful when we need to know if one number is same as, or smaller than, or bigger than, another number. For example, Ria has 5 pencils and Tina has 8 pencils. We can tell which one has more number of pencils by comparing their count. Similarly, when we go shopping, we are always comparing the prices of different products to know which one is cheaper. In mathematics, we use three signs or symbols to compare numbers, 1. Equal to (=): When two number number are exactly same, we say that they they are equal. For e.g, 5 = 5. 2. Greater Than (>): When one number number is bigger than the other number, number, we say that the number is greater than the other number. For e.g, !25 > !20 3. Less Than (<): When one number number is smaller smaller than the other number, we say that the number is less than the other number. For e.g, !87 < !97
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BIG > small small < BIG TIP
The small end of the sign always points to the smaller number.
EXAMPLE
!"#$%& (
)*#+,&-.*/
!"#$%& 0
AB
C
A-
D-
E
D-
.,B
F
.,D
D/1
E
D/1
BGG
C
BDD
A number with more number number of digits digits will always always be greater than the number with less number of digits. For e.g, a two digit number TIP
will always be greater than a one digit number and a three digit number will always be greater than a two digit number.
2. Comp Compar arin ing g numb number erss usin using g a num numbe berr line line When comparing two numbers, we can use a number line to determine which number is greater or smaller. The number on the right is always greater than the number on the left. EXAMPLE
Let us compare the numbers 23 and 31 using a number line.
20
21
22
23
24
2 5
26
27
28
2
30
31
32
9
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Since, number 31 lies on the right of the number line. Therefore, 31 is greater than 23. Or 31 > 23.
3. Comp Compar arin ing g thre three e digi digitt numb number erss Comparing three digit numbers is similar to comparing two digit numbers. We start comparing with the highest place value Hundred and move towards the lower place value till Ones. EXAMPLE
Let compare the amounts represented by the boxes below: Box 1 !"#$%&$'
(&#'
)#&'
*"+,&%
AB,
Box 2 !"#$%&$'
(&#'
)#&'
*"+,&%
ABC
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Compare the numbers 532 and 536
METHOD
1
Compare the Hundreds place digits of the numbers. • The number having the bigger bigger Hundreds digit digit is greater. • If the numbers have the same Hundreds Hundreds digit, then compare compare the Tens place digits. Numbers 532 and 536 both have 5 as the Hundreds place digit. Therefore, lets compare the Tens place digits.
2
Compare the Tens place digits of the numbers. • The number having the bigger bigger Tens digit is greater. greater. • If the numbers have the same Tens digit, digit, then compare compare the Ones place digits. Now, the numbers 532 and 536 both have 3 as the Tens place digit. Therefore, lets compare the Ones place digits.
3
Compare the One place digits of the numbers. • The number having the bigger bigger Ones digit is greater. greater. • If the numbers have the same Ones digit, digit, then the numbers are equal. The number 532 has 2 as the Ones digit and 536 has 6 as the Ones digit. Since, 6 is bigger than 2. Therefore, 536 is greater than 532 i.e. 536 > 532. Hence, Box 2 has greater amount as compared to Box 1.
If all the place values in given numbers are equal, then the numbers are equal. REMEMBER
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!
SUMMARY !
!
!
!
In mathematics we use three different symbols for comparison of numbers numbers - greater than (>), less than (<) and equal to (=). A number with more number number of digits digits is always always greater than a number with less number of digits. A number on the right right of a number number line is always greater greater than a number on the left. To compare three digit numbers, we start comparing with the Hundreds digit first, followed by Tens digit and finally Ones digit to compare the number. If two numbers have all the digits same, then the numbers are equal.
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PRACTICE Master what you have learned and hone your skills in return for prestige
EASY 1.
Write using mathematical symbols. a)
4 is greater than 3
b)
________ c)
________
5 is lesser than 8 ________
2.
8 is le lesser than 9
d)
15 is grea reater ter tha than 13 ________
Compare the following by using >, < or = sign.
c)
a)
___________
___________
___________
b)
___________
___________ d)
__ ___________
___________
__ ___________
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3.
Now lets compare these numbers.
Number = __________
___________
Number = __________
___________
Number = __________
___________
Number = __________
___________
Number = __________
___________
Number = __________
___________
Number = __________
___________
Number = __________
___________ AA
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4.
Compare the weights of these trucks. a)
69
70
Truck 1 c)
44
Truck 1
100
99
f)
65
Truck 2 58
60
Truck 1
Truck 2
Truck 2
55
Truck 1
Truck 2
Truck 1 5.
d)
80
81
Truck 1
Truck 2
48
e)
b)
Truck 2
Compa Compare re the the numb numbers ers by plac placin ing g them them on on a numbe numberr line line.. a)
54 an and 61
60 61
54
50
70
_________ is on the right on the number line !
__________ is greater. __________
b)
__________
29 and 31
30
20
40
_________ is on the right on the number line !
__________ is greater. __________
__________
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c)
88 and 86
90
80
100
_________ is on the right on the number line !
__________ is greater. __________
d)
__________
99 and 90
90
80
100
_________ is on the right on the number line !
__________ is greater. __________
6.
__________
Compare the value of these boxes.
a)
Tens
Ones
Tens
Ones
4
4
7
8
Box 1 = __________
Box 1 = __________
Which box has more tens? Box 1 Box 2
Equal
If tens are equal, which has more ones? Box 1 Box 2 Equal ___________
___________
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b)
Tens
Ones
Box 1 = __________
Tens
Ones
Box 1 = __________
Which box has more tens? Box 1 Box 2
Equal
If tens are equal, which has more ones? Box 1 Box 2 Equal ___________
c)
Tens
Ones
Box 1 = __________
___________
Tens
Ones
Box 1 = __________
Which box has more tens? Box 1 Box 2
Equal
If tens are equal, which has more ones? Box 1 Box 2 Equal ___________
___________
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Tens
d)
Ones
Box 1 = __________
Tens
Ones
Box 1 = __________
Which box has more tens? Box 1 Box 2
Equal
If tens are equal, which has more ones? Box 1 Box 2 Equal ___________
___________
NORMAL
7.
Comp Compa are th the e hun hundred dreds. s. a)
___________ Hu Hundreds ___________
___________ Hu Hundreds ___________
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b)
___________ Hu Hundreds ___________
___________ Hu Hundreds ___________
c)
___________ Hu Hundreds ___________
___________ Hu Hundreds ___________
d)
___________ Hu Hundreds ___________
___________ Hu Hundreds ___________
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8.
Comp Compa are th the fol follo low wing. a)
__________ ___________ ___________
___________ ____________ ___________
b)
__________ ___________ ___________
___________ ____________ ___________
c)
__________ ___________ ___________
___________ ____________ ___________
d)
__________ ___________ ___________ e)
___________ ____________ ___________
A 3 digi digitt numbe numberr is always always ______ _________ ____ _ than than a 2 digi digitt number. Reason?
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9.
Comp Compar are e the the tw two o num numbe berr box boxes es.. a)
Box 2
Box 1 H
T
H
O
T
O
Which has more hundreds? Box 1
Box 2
Box 1
Equal
Box 2
b)
Box 2
Box 1 H
T
H
O
T
O
Which has more hundreds? Box 1 Box 1
Box 2
Equal
Box 2
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c)
Box 2
Box 1 H
T
H
O
T
O
Which has more hundreds? Box 1
Box 2
Box 1
Equal
Box 2
10. Captain Captain Spark Spark is confused! confused! The The boxes boxes have the same same number number of hundreds. How to compare? a)
Box 2
Box 1 H
T
O
H
T
O
Which has more hundreds? Box 1 Box 2 Equal Which has more Tens? Box 1 Box 1
Box 2
Equal
Box 2 /A
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b)
Box 1 H
Box 2
T
H
O
T
O
Which has more hundreds? Box 1 Box 2 Equal Which has more Tens? Box 1
Box 2
Box 1
Equal
Box 2
11. Roxy is very very confuse confused. d. These These boxes boxes have have the same numbe numberr of hundreds and tens. How to compare? a)
Box 2
Box 1 H
T
O
H
T
O
Which has more hundreds? Box 1 Box 2 Equal Which has more Tens? Box 1 Box 2 Equal Which has more Ones? Box 1 Box 1
Box 2
Equal
Box 2 /A
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b)
Box 2
Box 1 H
T
O
H
T
O
Which has more hundreds? Box 1
Box 2
Equal
Which has more Tens? Box 1 Box 2 Equal Which has more Ones? Box 1 Box 1
Box 2
Equal
Box 2
12. 12. Comp Compar are e the num numbe bers rs..
5A
___________
___________
___________
___________
BA
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AB
___________
___________
13. 13. Togo’s Togo’s comp compari arison son sheet sheet.. To compare 3 digit numbers First compare __________ place because ___________ place has the highest place value
If __________ is equal, compare the __________ place because _________ has second highest value
If __________ place is also equal, compare the _________ place. Because the __________ place has the lowest place value.
If all the places are equal Then the numbers are __________
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14. Help Togo Togo identif identify y what what order are are the numbe numbers rs in.
a)
Ascending Order
Smallest to largest
Descending Order
Largest to smallest
5, 6, 7, 8 Ascending Order
b)
Descending Descending Order
No order
Descending Descending Order
No order
Descending Descending Order
No order
44, 57, 43, 32, 84 Ascending Order
d)
No order
84, 76, 68, 59, 21 Ascending Order
c)
Descending Descending Order
83, 89, 92, 96, 99 Ascending Order
SUPER
15. Lets arran arrange ge the numbe numbers rs in ascen ascending ding order order.. a)
347, 632, 323 H
T
Compare the hundreds place. 3
O
(Circle the smallest)
6
3
Compare the tens place. (Circle the smallest) 4
3
2
Smallest number = ___________ Second Smallest number = ___________ Largest number = ___________ Ascending Order – ____________ < ___________ < ____________
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b)
235, 163, 284 H
T
O
Compare the hundreds place. (Circle the smallest) 2
1
2
Compare the tens place. (Circle the smallest) 3
6
8
Smallest number = ___________ Second Smallest number = ___________ Largest number = ___________ Ascending Order – ____________ < ___________ < ____________
c)
692, 684, 697 H
T
O
Compare the hundreds place. (Circle the smallest) 6
6
6
Compare the tens place. (Circle the smallest) 9
8
9
Smallest number = ___________ Second Smallest number = ___________ Largest number = ___________ Ascending Order – ____________ < ___________ < ____________
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d)
499, 503, 482 H
T
O
Compare the hundreds place. (Circle the smallest) 4
5
4
Compare the tens place. (Circle the smallest) 9
0
8
Smallest number = ___________ Second Smallest number = ___________ Largest number = ___________ Ascending Order – ____________ < ___________ < ____________
16. Arrange Arrange the following following in descend descending ing order. a)
894, 887, 898 H
T
O
Compare the hundreds place. (Circle the smallest) 8
8
8
Compare the tens place. (Circle the smallest) 9
8
9
Compare the ones place. (Circle the smallest) 4
7
8 1-
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Largest number = ___________ Second largest number = ___________ Smallest number = ____________ Descending order Order –
____________ > ___________ > ____________
b)
292, 309, 290 H
T
O
Compare the hundreds place. (Circle the smallest) 2
3
2
Compare the tens place. (Circle the smallest) 9
0
9
Compare the ones place. (Circle the smallest) 2
9
0
Largest number = ___________ Second largest number = ___________ Smallest number = ____________ Descending order Order –
____________ > ___________ > ____________
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c)
802, 809, 788 H
T
O
Compare the hundreds place. (Circle the smallest) 8
8
7
Compare the tens place. (Circle the smallest) 0
0
8
Compare the ones place. (Circle the smallest) 2
9
8
Largest number = ___________ Second largest number = ___________ Smallest number = ____________ Descending order Order –
____________ > ___________ > ____________
d)
499, 501, 401 H
T
O
Compare the hundreds place. (Circle the smallest) 4
5
4
Compare the tens place. (Circle the smallest) 9
0
0
Compare the ones place. (Circle the smallest) 9
1
1 1,
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Largest number = ___________ Second largest number = ___________ Smallest number = ____________ Descending order Order –
____________ > ___________ > ____________
17. 17. Togo Togo has 198 198 marbl marbles es with with him. him. a)
Roxy ga gave hi him 3 more Togo now has ___________ marbles.
b)
Poha Po ha has has 5 mor more e tha than n wha whatt Tog Togo o has has now. now. Poha has __________ _____________ ___ marbles. marbles.
c)
Numb Number er of of marb marble less with with Sos Sosa a is 4 grea greate terr than than the number of marbles with Poha. Sosa has ____________ marbles.
d)
Zoko Zoko has has 3 mar marbl bles es les lesss than than the the numb number er of of marb marble less with Sosa. Zoko has ____________ marbles. marbles.
18. 18. Find Find the the magic magic numbe number. r. a)
Grea Greate test st 3 digi digitt numb number er..
b)
Smal Smalle lest st 3 digi digitt numb number er..
c)
Thre Th ree e less less than than the the gre great ates estt 3 dig digit it num numbe berr
d)
One One less less tha than n the the smal smalle lest st 3 dig digit it num numbe berr
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19. Write Write >, < or or = in the the boxe boxess below. below.
a)
555
550
d). 100
88
b)
456
546
e).
700
707
c)
99
103
f).
876
867
OLYMPIAD Solve the following Olympiad level questions in your Notebook
20. Fill the number number train train with with the numbers numbers given given below. below. Remember Remember that the smallest number comes next to the engine and the rest are in an increasing order. a)
683 683, 69 692, 753, 53, 68 682, 755
b)
298 298, 29 292, 295, 95, 30 301, 299
c)
803 803, 798, 793, 93, 807, 800
d)
483 483, 49 493, 473, 73, 50 503, 403
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21. Captain Captain Spark Spark has has to arrange arrange the answ answer er sheets sheets of some students, roll number wise. Starting from the smallest, help your captain. Name
Togo
Poha
Zoka
Sosa
Dako
Roll no.
109
103
123
98
190
22. Roxy has has to buy electro electronic nic gadgets gadgets.. She has has the money money to buy only 2 gadgets which are the cheapest. Find out which ones should she buy. Smartphone
683 Gems
Bluetooth Drone
680 Gems
AI Goggles
732 Gems
Ordinary Drone
678 Gems
Laptop
860 Gems
Headset
677 Gems
23. The Great Great Spark Spark Race Race was conduct conducted. ed. The The timings timings of the participants participants are Togo
482 Seconds
Poha
398 Seconds
Zoka
393 Seconds
Sosa
495 Seconds
Dako
503 Seconds
a)
Write down the names of the medal winners.
b)
Who came last?
c)
Who Who jus justt mis misse sed d win winni ning ng a med medal al?? 1A
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24. Captain Captain Spark Spark will drive drive from Barren Barren Plateau Plateau to Sandy Sandy desert desert along a straight road. The distances of destinations from barren plateau are given below. Zumpa
208 Km
Abhijo
342 Km
Kumal
199 Km
Dhooma
193 Km
Taco
253 Km
Gee
282 Km
Mark these destinations on the road. ______ Km
______ Km
______ Km
Barren Plateau
Sandy Desert ______ Km
______ Km
______ Km
25. Togo is climbi climbing ng a ladder. ladder. Some Some of the rungs rungs of the the ladder ladder are slippery. Each has a number starting from the smallest at the bottom. Mark the numbers on the ladder. 243, 253, 247, 232, 279, 304, 198, 255, 182, 384.
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!"#$% '()$ #*"+%,%-%./01
What were you supposed to learn in this module?
What did did you learn learn in this module? module? 1.
2.
3.
4.
What still confuses you?
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!"#$ &'
Every great legend begins with a spark
Have you ever wondered ? What do the numbers below below have in common?
Can a group of numbers have some pattern?
2, 3, 4, 5, 6, 7, 8
9,8, 7, 6, 5, 4, 3
and
and
22, 23, 24, 25, 26, 27 , 28
29, 28, 27, 26, 25, 24, 23
The Big Idea! “Numbers that follow a particular order are called patterns” Can you name some patterns from your daily life?
School Attendance
House Numbers
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!"#$ &'
!"#$%&'()*+ )# *+$ *- (.$ /%$'($#( 0*1$%# )+ (.$ 2+)&$ %#$
Hi
kids,
unt il
num be rs
and
now t heir
you
learned
place
about
values.
t hre e
Today
digit
we
wil l
underst and t he concept of patte rns in numbers and le arn how t o reco gnise different kinds o f pat terns i n t hr h r ee e e d ig i g it i t n um um be b e rs rs . At A t t h e e n d o f t h e l e s s o n , y o u w i l l b e a b l e t o r e c o g n i s e odd/even or increasing/decreasing patterns i nvo lving c ha ha ng ng e i n d i ff ff er e r e nt nt p la la ce ce v al al ue ue s. s.
1. Number Pa Patterns DEFINITIO N
Information that repeats itself in some manner is called a pattern. A list of numbers numbers that follow a certain certain sequence sequence or pattern is called a number pattern.
EXAMPLE
Observe the sequence of numbers 1, 3, 5, 7, 9, 11. Do y ou notice any pattern? 1. Each number in the sequence sequence is an odd number. number. 2. The first term is 1, and all all other terms are obtained obtained by adding 2 to the previous term. +2
1
2
+2
3
4
+2
5
6
+2
+2
7
8
9
10
11
Can you predict the next terms of the sequence?
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+2
2
1
+2
3
4
+2
6
5
+2
+2
7
8
9
10
+2
+2
11
12
13
14
15
So the pattern can be continues as 1, 3, 5, 7, 9, 11, 13, 15 and so on.
2. Patte attern rn of even even numb number erss In the above example, we saw a pattern of odd numbers. Now lets take a look at a pattern of even numbers. Consider the sequence of numbers 24, 26, 28, 30, 32, 34. What do you observe about the pattern? 1. Each number in the sequence sequence is an even number. number. 2. The first term is 24, 24, and all other terms are obtained obtained by adding 2 to the previous term. 3. Each term of the sequence sequence is divisible by by 2. +2
24
25
+2
26
27
+2
28
29
+2
+2
30
31
32
33
34
A number pattern pattern of odd numbers will will never be divisible by 2. TIP
3. Incr Increa easi sing ng/De /Decr crea easi sing ng Patte Pattern rnss So far we learned about the patterns whose each term was greater that the previous term, obtained by the addition of a particular number. In other words the patterns were increasing in nature. But patterns can also be decreasing in nature. Let us see an example of decreasing pattern.
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EXAMPLE
Consider the sequence of numbers: 525, 520, 515, 510, 505, 500. Can you guess the pattern here? -5
525
-5
520
-5
515
-5
-5
510
505
500
1. It is a decreasing decreasing pattern. 2. The first term is 525, 525, and all other terms are obtained obtained by subtracting subtracting 5 from the previous term. 3. To calculate the next term of of the sequence, we subtract 5 from the the last term i.e. i.e. 500 - 5 = 495. 495. Similarly, 495 495 - 5 = 490 490 490 490 - 5 = 485 485 485 485 - 5 = 480 480 Hence, the pattern can be extended as: 525, 520, 515, 510, 505, 500, 495, 490, 485, 480 and so on.
If the pattern is increasing, increasing, we do addition to obtain the terms, whereas if the pattern REMEMBER
is decreasing, we do subtraction to obtain the terms of pattern.
To recognise patterns, we simply need to identify the factor by which the terms are either incremented or decremented. TIP
4. Chan Change ge in in Hund Hundre reds ds pla place ce val value ue Until now, we learned about the patterns involving a change in the Ones and Tens places. Now, let us learn about patterns that involve a change in Hundreds place.
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EXAMPLE
Consider the three boxes below with Rs 100 notes in them. Can you identify the pattern?
!"# %
!"# &
!"# '
Looking at the boxes, we can easily say that it is an increasing pattern as the number of Rs100 notes in Box 2 is more than that in Box 1. Likewise, the number of Rs100 notes in Box 3 is more than that in Box 2. Number of Rs 100 notes in Box 1 = 3 Therefore, total amount in Box 1 = 3 times Rs100 = Rs300 Now, Box 2 has 2 more notes as compared to Box 1. So, Number of notes in Box 2 = 3 + 2 = 5 Therefore, total amount in Box 2 = 5 times Rs100 = Rs500 Similarly, Box 3 has 2 more notes as compared to Box 2. So, Number of notes in Box 3 = 5 + 2 = 7 Therefore, total amount in Box 3 = 7 times Rs100 = Rs700 Hence, the pattern becomes 300, 500, 700, where each box contains Rs200 (2 times Rs100) more than the previous box. +200
300
+200
500
700
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!
!
SUMMARY !
! !
!
A list of numbers numbers that follow a repeated repeated sequence sequence or pattern is known as a number pattern. A pattern of odd numbers numbers contains only odd numbers numbers separated by a particular number. A pattern of even numbers numbers contains only even numbers numbers separated by a particular number. Each number is an even pattern is divisible by 2. When the pattern is increasing, a number is added to each term to obtain the next term. When a patter is decreasing, a number is subtracted from each term to obtain the next term.
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PRACTICE Master what you have learned and hone your skills in return for prestige
EASY 1.
Given Given below below is a stai stairca rcase. se. Count Count 1 more more to reach reach to the next next step step of the staircase. staircase. Tick the correct option. option.
15+1=16
a)
99
15
115
100
16
?
b)
149
119
20
?
150
151
?
g)
29
299
129
30
?
d)
199
?
f)
19
c)
?
e)
298
300
?
h) 499
79
80
179
500
498
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?
i) 999
1000
2.
No number exists after this.
Given below below are some coins of 10 in a box. One One more coin is added. What is the value of the box after the addition of the coin?
a)
b)
c)
d)
e)
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3.
Given below are 2 boxes like a place value table. We add a block to Box 1 to get Box 2.
a)
H
T
O
100 1
10
100 2
0
0
T
O
Box 1
H 100
100
1
10 100 1
3
1
Box 2
i)
What is the number in Box 2?
211
ii)
311
What number has been added?
100
1
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b)
H 100
T
O
100 10
100
100 4
1
0
T
O
Box 1
H 100
100
100 10
100
100 1
____
0
Box 2
i)
What is the number in Box 2?
410
ii)
510
What number has been added?
100
1
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c)
H 100
100
100
100
100
100
6
T
O
0
1
Box 1
H
T
100
100
100
100
100
100
O
1
100 ____
____
____ Box 2
i)
What is the number in Box 2?
601
ii)
701
What number has been added?
100
1
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d)
H 100
100
T 100 100
100 5
O
10
1
10
1
2
2
T
O
Box 1
H 100
100
100
10
1
100
100
100
10
1
2
2
____ Box 2
i)
What is the number in Box 2?
522
ii)
622
What number has been added?
100
1
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4.
The Th e numbe numberr at the the head head of a sna snake ke is 100 100 more more than than the the numb number er at the the tail of the snake. Find out the number at the head of the snake. d)
a) 200 400
100
e)
b)
770
200 c)
f)
330 5.
900
Move Move down down the the stai stairc rcas ase e by gett gettin ing g one one numb number er less less.. 44
a)
?
?
34
200
43
?
?
40
400
49
100
c)
198
500
e)
50
b)
199
d)
999
f)
?
499
?
90
99
899
998 .-.
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NORMAL 6.
Give Given n belo below w are are coi coins ns of of 10. 10. Remo Remove ve one one coin coin.. What What is is the the value of coins left?
a)
d)
b)
e)
c)
f)
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7.
In the boxes below, a block of 100 is removed from Box 1. Find out what the value of Box 2 will be. a)
H
T
O
2
0
0
H
T
O
1
0
0
100 100
Box 1
100
Box 2
i)
What is the number in Box 2?
200
ii) ii)
100
What Wh at nu numb mber er has been been sub subtrac tracte ted d fro from m box box 1?
1
100
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b)
H 100
T
O
10
100
1
100 3
1
1
T
O
10
1
1
1
Box 1
H 100
100
____ Box 2
i)
What is the number in Box 2?
211
ii) ii)
310
Wha What num numb ber has has bee been n sub subtr tra acted cted from rom box box 1?
1
100
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c)
H 100 100
T
100 100
100
10
100
10
6
O 1 1
2
2
T
O
10
1
10
1
Box 1
H 100 100
100
100
100
2
____
2
Box 2
i)
What is the number in Box 2?
621
ii) ii)
522
What What nu numb mber er has bee been sub subtr trac acte ted d fro from m box box 1?
1
100
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d)
H
T
100
100
100
100
100
100
100
100
100
9
O
100
0
1
T
O
Box 1
H 100 100
100 100 100
100 100
100
100 0
____
1
Box 2
i)
What is the number in Box 2?
801
ii) ii)
900
Wha What num numb ber has has bee been n sub subtr tra acted cted from rom box box 1?
1
100
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8.
The The numb number er at at the the tail tail of of a snak snake e is 100 100 les lesss than than the the num numbe berr at the the head. head. Find out the the number at the the tail of the snake. snake. a)
c)
200
501
100 b)
9.
d)
390
1000
Complete Complete the number number train! The smallest smallest number number is next to the engine.
a) 46
47
48
b) 98
99
100
c) 148
149
150
d) 207
208
209
e) 500
501
502
f) 797
798
799 .-/
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10.
Look Look at the the reve revers rse e numb number er train train!! The The numb number erss are are decr decrea easi sing ng.. Complete the train.
a) 75
76
77
b)
125
124
123
c)
208
207
206
d)
361
360
359
e) 552
551
550
f)
702
701
700
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11.
Find Find out out if the the numb number erss in the the se seq quenc uence e are are incr increa easi sing ng or decre ecreas asin ing g.
a)
63, 62, 61, 60, 59, 58 Increasing
b)
120, 121, 122, 123, 124 Increasing
c)
Decreasing
305, 306, 307, 308 Increasing
12.
Decreasing
288, 287, 286, 285, 284 Increasing
d)
Decreasing
Decreasing
Find Find the the miss missin ing g numb number er!!
a) 105, 104, 103, _____, 101, _______, _________, 98
b)
552, 551, __________, ____________, 548
c)
777, _______, 775, _______, 773, ________, 771, _______
d)
1000, _______, 998, _______, 996, ________
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13.
a)
You are running a hurdle race. You have to skip some numb number erss as ment mentio ione ned d belo below. w. Skip 1 number
3
1 b)
5
7
Skip 1 number
2 c)
Skip 1 number
11
d)
Skip 2 numbers
112
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e)
Skip 2 numbers
720 f)
Skip 2 numbers
619
14.
Lett us cou Le count in ten tens! Comp Comple lete te the the sequ equence ence..
a)
0
10 20 __
i)
__
The numbers are:
40 and 60
ii )
30 and 40
The numbers are increasing by:
10
20
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b)
__
120
130 __
i)
The numbers are:
140 and 150 ii )
150 and 160
The nu numbers are in increasing by?
10
1
c)
110
130
i)
__
__
The missing numbers:
140,150 and 160 ii)
__
150,170 and 190
The nu numbers ar are in increasing by by:
10
20
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d) 510
__
540
i)
The Th e mis missin sing number mber::
570 ii)
550
The Th e numbe numbers rs are increa increasin sing g by:
10
15.
a)
30
There Ther e is a numb number er snak snake e belo below. w. The The numb number erss at the curv curves es are increasing by 100 Gems. Fill in the missing numbers.
500
300
100
200
c)
b)
200
400
600
400
300
100
200
500
600
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SUPER
16.
Comp Comple lete te the the sequ sequen ence ce.. a)
Count 5 more than t han previous number. 7, 12, 17, 22, 27, 32
b)
Count 7 more than previous number. 7, 14, ____, 28, ____, 42
c)
Count 9 more than previous number. 945, 954, _______, 972, ________, 990, ________
d)
Count 10 more than previous number. 900, 910, 920, ________, ________, 950, 960,_________ ,
17.
There are hurdles on the ground. Give them numbers by goin going g back back.. a)
Skip 1 number and move back
Hurdle Hurdle no.
93
Stone
95
2
2
97
99
2
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b)
Skip 1 number and move back
___
Hurdle no.
c)
92
Skip 2 numbers and move back.
Hurdle no.
d)
___
___
___
___
102
Skip 2 numbers and move back
___
___
___
91
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18.
Skip in 10s on the tens number line.
a)
90
110
130
170
150
190
By which number is the sequence decreasing? 10
20
b) ___
___
___
___
250
By which number is the sequence decreasing?
10
30
20
40
c) ___
___
___
___
660
By which number is the sequence decreasing?
10
20
30
40
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19.
There Th ere are number numberss written written on a Hund Hundred redss number number line. line. Each previous number is 100 less than the number before it. Write numbers in blank spaces by going backwards.
a)
0 100
300 400
0 100
300
700
500
400 500
700
By which number is the sequence decreasing?
100
200
b)
___
___
___
___
945
By which number is the sequence decreasing?
100
200
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c)
___
___
900
By which number is the sequence decreasing?
400
200
d)
___
___
800
By which number is the sequence decreasing?
400
200
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20.
Look ook at the the patter ttern ns below elow and and answer the the questi estion onss: a)
75 , 78, 81, 84, 87, 90
i)
Is the the seq sequ uence ence incr increa easi sin ng?
Yes
No
ii) By whi which ch numbe numberr is is the the sequ sequenc ence e chan changin ging? g? b)
185, 190, 195, 200
i)
Is the the seq sequ uence ence incr increa easi sing ng??
Yes
No
ii) By which which numbe numberr is is the the sequ sequenc ence e cha changi nging? ng? c)
495, 501, 507, 513, 519, 521
i)
Is the the seq seque uenc nce e inc incre reas asin ing? g?
Yes
No
ii) By which which numbe numberr is the sequen sequence ce cha chang nging ing?? d)
750, 743, 735, 729, 722, 715
i)
Is the the seq seque uenc nce e inc incre reas asin ing? g?
Yes
No
ii) By which which numbe numberr is the sequen sequence ce chang changing ing?? e)
999, 990, 981, 972, 963
i)
Is the the seq seque uenc nce e inc incre reas asin ing? g?
Yes
No
ii) By which which numbe numberr is the seque sequence nce chan changin ging? g? ..A !"#$%&'() + ,-./0.1 2&34#5%6 733"85)&"34 9:5%3&3' ;8)< 9)=< >?? @&'()4 @:4:%8:=<
f)
50, 60, 70, 80, 90, 100
i)
Is the the seq seque uenc nce e in increa creasi sing ng??
Yes
No
ii) By which which numbe numberr is is the the sequ sequenc ence e cha changi nging? ng? g)
152, 172, 182, 192, 212, 232
i)
Is the the seq seque uen nce incr increa easi sing ng??
Yes
No
ii) By which which numbe numberr is the seque sequence nce chan changin ging? g? h)
500, 440, 380, 320, 260
i)
Is the the seq seque uenc nce e inc incre reas asin ing? g?
Yes
No
ii) By whic which h numb number er is is the the sequ sequenc ence e chang changing ing?? i)
100, 200, 300, 400, 500
i)
Is the the seq seque uen nce incr increa easi sing ng??
Yes
No
ii) By which which numbe numberr is the sequen sequence ce chan changin ging? g?
j)
233, 433, 633, 833
i)
Is the the seq seque uen nce incr increa easi sing ng??
Yes
No
ii) By which which numbe numberr is the sequen sequence ce chan changin ging? g?
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k)
105, 405, 705
i)
Is the the seq seque uenc nce e in increa creasi sing ng??
Yes
No
ii) By which which numbe numberr is is the the sequ sequenc ence e cha changi nging? ng?
l)
999, 699, 399, 99
i)
Is the the seq seque uenc nce e in increa creasi sing ng??
Yes
No
ii) By which which numbe numberr is is the the sequ sequenc ence e cha changi nging? ng?
21.
Comp Comple lete te the the foll follow owin ing g sequ sequen ence ce by iden identi tify fyin ing g patt patter ern. n. a)
49, 53, 57, 61, ______, ______
b)
94, 99, 104, 109, 114, 119, ____, ____,____
c)
114, 124, 13 134, 144, __ ____, ____, ____
d)
429, 459, 489, ____, ____, ____
e)
115, 21 215, 31 315, 41 415, __ ____, __ ____, __ ____, __ ____
f)
169, 369, 569, _____, _____
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22.
25.
Comp Comple lete te the the foll follow owin ing g sequ sequen ence ce by iden identi tify fyin ing g patte pattern rn..
a)
83, 79, 75, 71, ______, ______, ______
b)
199, 179, 159, 139, _____, _____, _____
c)
245, 185, 125, ____, ____
d)
952, 852, 752, 652, ____, ____
e)
819, 619, 419, ____, ____
f)
999, 699, ____, ____
Circle the number which is not in sequence, and write the rea reason in the the prov rovided ided box. ox.
a)
49, 54, 59, 64, 66, 71, 76, 81
b)
171, 178, 185, 192, 195, 202, 209
c)
443, 453, 463, 470, 480, 490
d)
714, 734, 754, 777, 797
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e)
110, 110, 210, 210, 310, 310, 410, 410, 500, 500, 600, 600, 700 700
f)
222, 222, 422, 422, 622, 622, 800, 800, 1000 1000
26.
A sequence of 5 number is made by adding 5 to the smallest 3- digit number. Write the the sequence. sequence.
27.
A sequence of 4 numbers is made by adding 200 to the smallest 3- digit. digit. Write the the sequence. sequence.
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!"#$% '()$ #*"+%,%-%./01
What were you supposed to learn in this module?
What did did you learn learn in this module? module? 1.
2.
3.
4.
What still confuses you?
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Congratulations on completing another successful saga Captain!
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