WAJA MATHS YEAR 4
1. Numbers to 100 000 Develop number sense involving numbers of up to 100 000.
2. Addition with the highest total of 000. Add numbers to the total of of 100 000.
100
i. Name Name and write write number numberss up to 100 000. ii. Determ Determine ine the the place place valu valuee of the the digi digits ts in any whole number up to 100 000. iii. iii. Compar Comparee value value of numb numbers ers up up to 100 000. iv. Round Round off off numbe numbers rs to the near nearest est tens, tens, hundreds and thousands.
i. Add any two two to to four four numb numbers ers to to 100 100 000. 000. ii. ii. Solv Solvee addi additi tion on pro probl blem ems. s.
3. Subtraction within the range of 100 000. Subtract numbers from a number less than 100 000. i. Subtrac Subtractt one one or two number numberss from from a bigger number less than 100 000. 000. ii. Solve Solve subtra subtractio ction n proble problems. ms.
Learning Outcomes
4. Multiplication with the highest product of 100 000. Multiply any two numbers with the highest product of 100 000. i.
Multiply th three-digit nu numbers wi with a) 100, b) two-digit numbers
ii. Multip Multiply ly four four-di -digit git number numberss with with a) oneone-di digi gitt numbe numbers rs,, b) 10, c) twotwo-di digi gitt numb number erss
5. Division with the highest dividend of 100 000. Divide a number less than 100 000 000 by a twodigit numbers. i. Divi Divide de four four-d -dig igit it numb number erss by a) one-digit numbers, b) 10, 100 and 1 000, 000, c) two-digit numbers. ii. Divide Divide five-di five-digit git number numberss by by a) one-digit numbers, b) 10, 100 and 1 000, 000, c) two-digit numbers.
iii. iii. Multip Multiply ly two-di two-digit git number numberss with with 1 000. iv. Solve Solve multip multiplica licatio tion n prob problem lems. s.
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WAJA MATHS YEAR 4
1. Numbers to 100 000 Develop number sense involving numbers of up to 100 000. i. Name Name and and write write numb numbers ers up to to 100 100 000. 000.
VOCABULARY numbers numerals count
POINTS TO NOTE
place value Naming and writing numbers to include numbers in extended notation.
value of the digits partition estimate
e.g.: e.g.: 54 026 = 50 000 + 4 000 + 20 + 6
check compare count in
54 026 = 5 ten thousands + 4 thousands + 2 tens + 6 ones
hundreds ten thousands round off to the nearest tens hundreds thousands
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WAJA MATHS YEAR 4
Example 1 Step 1: Name the number
Write 52 413 in words. Step 2: Draw a separation line between thousand and hundred
52 413 Step 3: Write thousand
thousand 52 413 Step 4: Look at the group of digits in front
thousand 52 413 Step 5: Read the group of digits in front fron t and thousand
thousand 52 413 ‘fifty-two’ Step 6: Write the words
52 413
fifty-two thousand
Step 7: Look at the next group of digits
thousand
52 413 four hundred and thirteen Step 8: Write what is being read
52 413 = Fifty-two thousand four hundred and thirteen
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WAJA MATHS YEAR 4
TRY THIS QUESTION Step 1: Name the number
Write 86 592 in words. Step 2: Draw a separation line
86 592 Step 3: Write thousand
86 592 Step 4: Look at the group of digits in front
86 592 Step 5: Read the group of digits in front and thousand
thousand 86 592 ‘____________________’ Step 6: Write the words
86 592 _______________________________ Step 7: Look at the next group of digits
thousand
86 592 ________________________________ Step 8: Write what is being read
86 592 - _______________________________________________
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WAJA MATHS YEAR 4
Name and write numbers up to 100 000.
Exercise 1 1
Write the number words for 23 000.
6
Write 70 105 in words.
2
50 006 written in words is
7
Write the number words for 70 062.
3
Write 21 042 in words.
8
78 901 written in words is
4
Write in words 58 306.
9
Write the number words for 38 109.
5
90 090 written in words is
10
Write 50 002 in words.
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WAJA MATHS YEAR 4
11
71 605 written in words is
16
Write in words for 62 050.
12
Write the number words for 19 037.
17
37 080 written in words is
13
Write in words 52 086.
18
Write the number words for 40 502.
14
47 093 written in words is
19
Write 30 004 in words.
15
Write 96 020 in words.
20
81 007 written in words is
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WAJA MATHS YEAR 4
Write the numerals for any number. Example 1 Step 1: Write in numerals
Write the numerals for ‘fifty-four thousand and nine’ Step 2: Build place value frame starting from ones to the value that being asked
TTh
Th
H
T
O
Step 3: Write the digit according to its place value
TTh
Th
5
4
H
T
O
9
Step 4: Write the zero at the blank
TTh
Th
H
T
O
5
4
0
0
9
Step 5: Write the answer
54 009
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WAJA MATHS YEAR 4
Find the Mystery Numbers by using the place value frame The mystery number has... a 4 in the ten thousands place. a 3 in the tens place a 2 in the ones place a 0 in the hundreds place a 6 in the thousands place
TTh
Th
H
T
O
What is the mystery number? _________________________________________
The mystery number has... a 1 in the ones place a 7 in the tens place an 8 in the ten thousands place a 9 in the thousands place a 2 in the hundreds place
TTh
Th
H
T
O
What is the mystery number? _________________________________________
The mystery number has... a 9 in the ten thousands place a 0 in the thousands place a 0 in the ones place an 8 in the hundreds place a 2 in the tens place
TTh
Th
H
T
O
What is the mystery number? _________________________________________
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WAJA MATHS YEAR 4
TRY THIS QUESTION Step 1: Write in numerals
Write the numerals for ‘twenty-five thousand and nineteen’ Step 2: Build place value frame starting from ones to the value that being asked
Step 3: Write the digit according to its place value
Step 4: Write the zero at the blank
Step 5: Write the answer
___________________
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WAJA MATHS YEAR 4
Write the numerals for the number words
Exercises 2 1
Write the numerals for ‘eighty-five thousand three hundred and twentytwo’.
6
‘Ninety-one thousand and fifteen’ written in numerals form is
2
‘Forty-seven thousand three hundred and thirty-five’ written in numeral form is
7
Write the numerals for ‘twenty-nine thousand one hundred and ninety’.
3
Write the numerals for ‘seventy-six thousand five hundred and forty-three’.
8
‘Thirty-eight thousand five hundred and twenty-two’ written in numerals form is
4
‘Seventeen thousand six hundred and eighty-four’ written in numerals form is
9
Write the numerals for ‘Nineteen thousand two hundred and seven’.
5
Write the numerals for ‘seventy-three thousand and nineteen’.
10
‘Twenty-four thousand four hundred and eight’ written in numerals form is
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WAJA MATHS YEAR 4
11
Write the numerals for ‘sixteen thousand eight hundred and five’
16
‘Fifty-three thousand and thirty’ written in numerals form is
12
‘Eighty-two thousand and twenty-four’ written in numerals form is
17
Write the numerals for ‘fifty-five thousand and seventy’.
13
Write the numerals for ‘seventy-three thousand and fifty-six’.
18
‘Thirty-nine thousand and four’ written in numerals form is
14
‘Fifty-six thousand and twenty-nine’ written in numerals form is
19
Write the numerals for ‘twenty-one thousand and nine’.
15
Write the numerals for ‘sixty-seven thousand and eighty’.
20
‘Fifty thousand and seven’ written in numerals form is
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WAJA MATHS YEAR 4
Determine the place value of the digits in any whole numbers up to 100 000.
Read and understand the digit value .
4 5 8 3 2 2 30 800 5 000 40 000
Read and understand the place value .
4 5 8 3 2 ones tens hundreds thousands ten thousands
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WAJA MATHS YEAR 4
Example 1 Step 1: Determine the digit value
State the digit value for the digit that has been underlined.
72 385
Step 2: Write the underlined digit
HTO
72 385 3 Step 3: Write zero at the back
HTO
72 385 300 Step 4: Write the answer
State the digit value for the digit that has been underlined.
72 385 300
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WAJA MATHS YEAR 4
Example 2 Step 1: Determine the place value
State the place value for the digit that has been underlined.
72 385
Step 2: Write the underlined digit
HTO
72 385 H Step 3: Write the answer
State the place value for the digit that has been underlined.
72 385 Hundreds
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WAJA MATHS YEAR 4
TRY THIS QUESTION Step 1: Determine the digit value
State the digit value for the digit that has been underlined.
48 293
Step 2: Write the underlined digit
48 293 ____
Step 3: Write zero at the back
48 293 __ Step 4: Write the answer
State the digit value for the digit that has been underlined.
48 293 __________
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WAJA MATHS YEAR 4
TRY THIS QUESTION Step 1: Solving determine the place value
State the place value for the digit that has been underlined.
48 293
Step 2: Write the underlined digit
48 293 __ Step 3: Write the answer
State the place value for the digit that has been underlined.
48 293 _______________
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WAJA MATHS YEAR 4
TRY THESE QUESTIONS What is the place value and digit value of the underlined digit
a) 45 600 Place value = ___________ Digit value = ___________
b) 56 002 Place value = ___________ Digit value = ___________
c) 39 240 Place value = ___________ Digit value = ___________
d) 50 920 Place value = ___________ Digit value = ___________
e) 67 021 Place value = ___________ Digit value = ___________
f) 19 352 Place value = ___________ Digit value = ___________
g) 26 902 Place value = ___________ Digit value = ___________
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WAJA MATHS YEAR 4
Determine the digit value and the place value.
Exercise 3 1
State the digit value for the digit that has been underlined in the number 25 860.
6
2
The digit value for the digit that has been underlined in the number 45 134 is
7
State the digit value for digit 5 in the number 92 154.
3
What is digit value for the digit that has been underlined in the number 81 437?
8
The digit value for digit 9 in the number 79 218 is
9
What is the digit value for digit 7 in the number 21 873?
10
State the digit value for digit 3 in the number 45 318.
4
54 728
38 206 What is the digit value for the digit that has been underlined in the number above?
State the digit value for the digit that has been underlined in the number above.
5
48 246 The digit value for the digit that has been underlined in the above number is
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WAJA MATHS YEAR 4
11
State the place value for the digit that has been underlined in the number 59 302.
16
12
The place value for the digit that has been underlined in the number 53 472 is
17
State the place value for digit 6 in the number 73 164.
13
What is place value for the digit that has been underlined in the number 45 326?
18
The place value for digit 4 in the number 74 231 is
19
What is the place value for digit 9 in the number 72 459?
20
State the place value for digit 2 in the number 82 307.
14
94 314
27 183 What is the place value for the digit that has been underlined in the number above?
State the place value for the digit that has been underlined in the number above.
15
52 367 The place value for the digit that has been underlined in the above number is
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WAJA MATHS YEAR 4
Round off numbers to the nearest tens, hundreds and thousands. Example 1 Step 1: Rounding off numbers
Round off 31
721 to the nearest hundreds.
Step 2: Underline the place value of hundreds
31 721 0, 1, 2, 3, 4
Step 3: Look at the digit on the right
retain the underlined digit
(Less than five)
31 721
5, 6, 7, 8, 9 (+ 1) to the underlined digit
(Five and more)
Step 4: Write the answer
31 721
Digits at the back replace with 0
31 700
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WAJA MATHS YEAR 4
Example 2 Step 1: Rounding off numbers
Round off 73
863 to the nearest hundreds.
Step 2: Underline the place value of hundreds
73 863 0, 1, 2, 3, 4
Step 3: Look at the digit on the right
retain the underlined digit
(Less than five)
73 863 5, 6, 7, 8, 9 (+ 1) to the underlined digit
(Five and more)
73 863
Number 6 (+ 1 at place value of thousands)
Step 4: Write the answer
73 863
Digits at the back replace with 0
73 900
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WAJA MATHS YEAR 4
Exercise 4 1
Round off 81 875 to the nearest tens.
6
Write 33 093 to the nearest thousands.
2
35 476 to the nearest thousands is
7
Round off 39 976 to the nearest thousands.
3
State 76 452 to the nearest hundreds.
8
36 872 to the nearest ten thousands is
4
Round off 60 934 to the nearest ten thousands.
9
State 45 035 to the nearest tens.
5
76 528 to the nearest hundreds is
10
Round off 40 925 to the nearest hundreds.
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WAJA MATHS YEAR 4
11
State 49 372 to the nearest ten thousands.
16
Write 52 693 to the nearest thousands.
12
Write 29 392 to the nearest tens.
17
50 275 to the nearest tens is
13
Round off 23 172 to the nearest hundreds.
18
State 78 024 to the nearest ten thousands.
14
73 501 to the nearest ten thousands is
19
Round off 19 904 to the nearest thousands.
15
Round off 79 999 to the nearest thousands.
20
68 981 to the nearest hundreds is
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WAJA MATHS YEAR 4
2. Addition with the highest total of 100 000. Add numbers to the total of 100 000. ii. Solve addition problems. VOCABULARY TO BE LEARNED
+ Add Plus Sum * Altogether * Total More than Increased by Combined together Added to Pair of ten Doubling Halfling
Minus Subtract Take away Remainder Left Less than More than (question) Fewer than Reduced by Decreased by Difference of
× Multiply Times Product *Total (key word different) *Altogether (keyword different)
÷ Divide Share equally Quotient
Example 1 Karen has 2 837 local stamps. She has 985 more foreign
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WAJA MATHS YEAR 4
stamps than local stamps. How many stamps does she have altogether? Step 1: Read and understand question. As you read underline the key words.
Karen has 2 837 local stamps. She has 985 more foreign stamps than local stamps. How many stamps does she have altogether?
Step 2: Using addition operation to solve the problem
2 837 + 985 3 822 + 2 837 6 659
local stamps more foreign stamps foreign stamps local stamps stamps
Step 3: Check the answer
TRY THIS QUESTION
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WAJA MATHS YEAR 4
Mrs Kumar bought a television set which cost RM 987. She bought a piano which cost RM 3 298 more. How much did she spend altogether? Step 1: Read and understand question. As you read underline the key words.
Mrs Kumar bought a television set which cost RM 987. She bought a piano which cost RM 3 298 more. How much did she spend altogether? Step 2: Write the operation / formula the keywords signify.
Mrs Kumar bought a television set which cost RM 987. She bought a piano which cost RM 3 298 more ( + to television). How much did she spend altogether (television + piano)? Step 3: Using addition operation to solve the problem
RM ____________ + RM ____________ RM ____________ + RM ____________ RM ____________
television more for piano piano television altogether
Step 4: Check the answer
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WAJA MATHS YEAR 4
Exercise 5 1.
There are 1 726 adults at Taiping Zoo. There are 3 295 more children than adults. How many people are there at the zoo altogether?
2.
A farmer has 2 307 cows. He has 3 289 more chicken than cows. How many chickens and cows does he have altogether?
3.
A salesman earned RM 2 325 in March. He earned RM 725 more in April. How much did he earn altogether in the 2 months?
4.
In a forest, there are 720 species of flowering plants. There are 2 975 more species of non-flowering plants than flowering plants. What is the total species of plants are there in the forest?
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WAJA MATHS YEAR 4
5.
There are 890 girls in a school. There are 985 more boys than girls. What is the total enrolment of the school?
6.
Zainal has RM870. Kassim has RM7 250 more than Zainal. How much money they have altogether?
7.
Sheela travelled 287 km on Sunday. On Monday she travelled 98 km more than Sunday. How far did she travel on the two days?
8.
2 237 of the people in an indoor stadium are males. There are 729 more females than males. How many people are there in the indoor stadium altogether?
9.
At a fruit stall, there are 1 246 apples. There are 4 578 pears more than apples. How many fruits altogether in the fruit stall?
3. Subtraction within the range of 100 000.
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WAJA MATHS YEAR 4
Subtract numbers from a number less than 100 000. Solve subtraction problems. Example 1 At a park, there are a total of 1 325 people. There are 327 more children than adults. How many adults are there at the park?
Step 1: Read and understand question. As you read underline the key words.
At a park, there are a total of 1 325 people. There are 327 more children than adults. How many adults are there at the park?
Step 2: Using addition operation to solve the problem
1 325 - 327 998 499
total people more children balance people divided by 2 adults
Step 3: Check the answer
499 x 2 = 998 + 327 = 1 325
TRY THIS QUESTION
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WAJA MATHS YEAR 4
The enrolment of School A is 4 796. The enrolment of school B is 2 907 fewer then that of School A. Find the total enrolment of the 2 schools. Step 1: Read and understand question. As you read underline the key words.
The enrolment of School A is 4 796. The enrolment of school B is 2 907 fewer then that of School A. Find the total enrolment of the 2 schools.
Step 2: Using addition operation to solve the problem
____________ - ____________ ____________ + ____________ ____________
school A fewer than school A school B school A altogether (school A and school B)
Step 3: Check the answer
Exercise 6 30
WAJA MATHS YEAR 4
1.
A shoe factory produced 74 927 pair of shoes. 457 pair of shoes were rejected and retuned to the factory. How many pair of shoes can be used ? Round off your answer to the nearest thousands.
2.
A car dealer sold 5 982 cars in the year 2006 and 2 983 cars in the year 2007. Calculate the different in number of cars sold in the both years. Round off your answer to the nearest hundreds.
3.
Last Deepavali Mrs. Samy made a total of 35 700 of cookies. She sold 28 950 of the cookies. Her friend helped her to sell another 4 250 of the cookies. How many cookies were not sold?
4.
Ali has 18 538 stamps. He gives 2 478 stamps to Kumaran. How many stamps does Raju have now? Round off your answer to the nearest tens.
5.
56 890 people took part in the National Day Run in year 2005. 21 567 were men and the rest were women and children. How many women and children were there?
4. Multiplication with the highest product of 100 000. Multiply any two numbers with the highest product of 100 000.
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WAJA MATHS YEAR 4
i.
Multiply three-digit numbers with a) 100, b) two-digit numbers
Point to note
1) emphasise when multiply with 10 just add one zero to the end of the number. 2) emphasise when multiply with 100 just add two zero to the end of the number. 3) emphasise when multiply with 1 000 just add three zero to the end of the number.
ii. Multiply four-digit numbers with a) one-digit numbers, b) 10, c) two-digit numbers iii. Multiply two-digit numbers with 1 000. iv. Solve multiplication problems. Use of lattice system to multiply numbers Example 1:
3 102 × 22 =
3
6
1
0
2
0
6 0
2
0
0 0
4
2
0
6 0
2
0
0 0
4
2
8
2
4
4
the way we write the product The product of 3 102 × 22 is 68 244
Vocabulary Example 2:
487 × 48 =
4 2
1
1
8 6 3
1
7 2 2
1
8
4
3
3
2 6 3
4
5
6
7
8
6
the way we write the product The product of 487 × 48 is 23 376
TRY THESE QUESTION Use of lattice system to multiply numbers Question 1:
3 102 × 31 = 32
multiplicand multiplier product altogether each times
WAJA MATHS YEAR 4
3
1
0
2 3 1
the way we write the product The product of 3 102 × 31 is ___________________ Question 2:
353 × 39 =
3
5
3 3 9
the way we write the product The product of 353 × 39 is ______________________
Question 3:
524 × 43 =
5
2
4 4 3
the way we write the product The product of 524 × 43 is ______________________
5. Division with the highest dividend of 100 000. Divide a number less than 100 000 by a two-digit numbers.
Vocabulary
i. Divide four-digit numbers by a) one-digit numbers,
33
divide dividend quotient divisor remainder factors
