1 Whole Numbers(Pg 1-34)

WAJA MATHS YEAR 4

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4. Multiplication with the highest product of 100 000.

Multiply any two numbers with the highest product of 100 000.

i. Multiply three-digit numbers with a) 100, b) two-digit numbers

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.

3. Subtraction within the range of 100 000.

Subtract numbers from a number less than 100 000.

i. Subtract one or two numbers from a bigger number less than 100 000.

ii. Solve subtraction problems.

Learning Outcomes

1. Numbers to 100 000Develop number sense involving numbers of up to 100 000.

i. Name and write numbers up to 100 000.

ii. Determine the place value of the digits in any whole number up to 100 000.

iii. Compare value of numbers up to 100 000.

iv. Round off numbers to the nearest tens, hundreds and thousands.

2. Addition with the highest total of 100 000.

Add numbers to the total of 100 000.

i. Add any two to four numbers to 100 000.ii. Solve addition problems.

5. Division with the highest dividend of 100 000.

Divide a number less than 100 000 by a two-digit numbers.

i. Divide four-digit numbers by a) one-digit numbers,b) 10, 100 and 1 000,c) two-digit numbers.

ii. Divide five-digit numbers by

a) one-digit numbers,b) 10, 100 and 1 000,c) two-digit numbers.

WAJA MATHS YEAR 4

1. Numbers to 100 000Develop number sense involving numbers of up to 100 000.

i. Name and write numbers up to 100 000.

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VOCABULARY

numbers

numerals

count

place value

value of the digits

partition

estimate

check

compare

count in

hundreds

ten thousands

round off to the

nearest

tens

hundreds

thousands

POINTS TO NOTE

Naming and writing numbers to include numbers in extended notation.

e.g.:54 026 = 50 000 + 4 000 + 20 + 6

54 026 = 5 ten thousands + 4 thousands + 2 tens + 6 ones

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

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 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 thirteenStep 8: Write what is being read

52 413 = Fifty-two thousand four hundred and thirteen

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52 413

WAJA MATHS YEAR 4

TRY THIS QUESTION

Step 1: Name the number

Write 86 592 in words.

Step 2: Draw a separation line

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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86 592

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 H T O5 4 9

Step 4: Write the zero at the blank

TTh Th H T O5 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 placea 2 in the ones placea 0 in the hundreds placea 6 in the thousands place

What is the mystery number? _________________________________________

The mystery number has...a 1 in the ones placea 7 in the tens placean 8 in the ten thousands placea 9 in the thousands placea 2 in the hundreds place


The mystery number has...a 9 in the ten thousands placea 0 in the thousands placea 0 in the ones placean 8 in the hundreds placea 2 in the tens place


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TTh Th H T O

TTh Th H T O

TTh Th H T O

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


___________________

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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 twenty-two’.

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

Read and understand the place value .

4 5 8 3 2

12

2

30

800

5 000

40 000

ones

tens

hundreds

thousands

ten thousands

WAJA MATHS YEAR 4

Example 1

Step 1: D etermine the digit value

State the digit value for the digit that has been underlined.

72 385

Step 2: Write the underlined digit

H T O

72 385 3

Step 3: Write zero at the back

H T O

72 385 300



72 385 300

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WAJA MATHS YEAR 4

Example 2

Step 1: D etermine the place value

State the place value for the digit that has been underlined.

72 385


H T O

72 385 H



72 385 Hundreds

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WAJA MATHS YEAR 4

TRY THIS QUESTION

Step 1: D etermine the digit value


48 293


48 293 ____

Step 3: Write zero at the back

48 293 __



48 293 __________

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WAJA MATHS YEAR 4

TRY THIS QUESTION

Step 1: Solving determine the place value


48 293


48 293 __



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



c) 39 240



d) 50 920



e) 6 7 021



f) 19 352



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WAJA MATHS YEAR 4

g) 26 902



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 38 206

What is the digit value for the digit that has been underlined in the number above?

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

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WAJA MATHS YEAR 4

4 54 728

State the digit value for the digit that has been underlined in the number above.

9 What is the digit value for digit 7 in the number 21 873?

5 48 246

The digit value for the digit that has been underlined in the above number is

10 State the digit value for digit 3 in the number 45 318.

11 State the place value for the digit that has been underlined in the number 59 302.

16 27 183

What is the place value for the digit that has been underlined in the number above?

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

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WAJA MATHS YEAR 4

14 94 314

State the place value for the digit that has been underlined in the number above.

19 What is the place value for digit 9 in the number 72 459?

15 52 367

The place value for the digit that has been underlined in the above number is

20 State the place value for digit 2 in the number 82 307.

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

Step 3: Look at the digit on the right

31 721


31 721

31 700

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Digits at the back replace with 0

0, 1, 2, 3, 4retain the underlined digit

(Less than five)

5, 6, 7, 8, 9(+ 1) to the underlined digit

(Five and more)

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

Step 3: Look at the digit on the right

73 863

73 863


73 863

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Digits at the back replace with 0

Number 6(+ 1 at place value of thousands)

0, 1, 2, 3, 4retain the underlined digit

(Less than five)

5, 6, 7, 8, 9(+ 1) to the underlined digit

(Five and more)

WAJA MATHS YEAR 4

73 900

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

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WAJA MATHS YEAR 4

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.

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.

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WAJA MATHS YEAR 4

15 Round off 79 999 to the nearest thousands.

20 68 981 to the nearest hundreds is

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

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+AddPlusSum

* Altogether* Total

More thanIncreased by

Combined togetherAdded to

Pair of tenDoublingHalfling

-Minus

SubtractTake awayRemainder

LeftLess than

More than (question)Fewer thanReduced by

Decreased byDifference of

×Multiply

TimesProduct

*Total (key word different)*Altogether (keyword different)

÷Divide

Share equallyQuotient

WAJA MATHS YEAR 4

Example 1

Karen has 2 837 local stamps. She has 985 more foreignstamps than local stamps. How many stamps does she havealtogether?

Step 1: Read and understand question. As you read underline the key words.

Karen has 2 837 local stamps. She has 985 more foreignstamps than local stamps. How many stamps does she havealtogether?

Step 2: Using addition operation to solve the problem

2 837 local stamps + 985 more foreign stamps

3 822 foreign stamps + 2 837 local stamps

6 659 stamps

Step 3: Check the answer

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WAJA MATHS YEAR 4

TRY THIS QUESTION

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?


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)?


RM ____________ television + RM ____________ more for piano

RM ____________ piano + RM ____________ television

RM ____________ altogether


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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?

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WAJA MATHS YEAR 4

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?

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?

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WAJA MATHS YEAR 4

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. 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 are327 more children than adults. How many adults arethere at the park?


At a park, there are a total of 1 325 people. There are327 more children than adults. How many adults arethere at the park?


1 325 total people - 327 more children

998 balance people divided by 2 499 adults


499 x 2 = 998 + 327 = 1 325

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WAJA MATHS YEAR 4

TRY THIS QUESTION

The enrolment of School A is 4 796. The enrolment of school Bis 2 907 fewer then that of School A. Find the total enrolmentof the 2 schools.


The enrolment of School A is 4 796. The enrolment of school Bis 2 907 fewer then that of School A. Find the total enrolmentof the 2 schools.


____________ school A - ____________ fewer than school A

____________ school B + ____________ school A

____________ altogether (school A and school B)


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WAJA MATHS YEAR 4

Exercise 6

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.

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WAJA MATHS YEAR 4

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.

i. Multiply three-digit numbers with a) 100, b) two-digit numbers

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 1 0 2

0 6 0 2 0 0 0 4 2

6 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

Example 2: 487 × 48 =

32

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.

Vocabulary

multiplicand multiplier product altogether each times multiply

WAJA MATHS YEAR 4

4 8 72 1 6 3 2 2 8 4

3 3 2 6 4 5 6 8

3 7 6


The product of 487 × 48 is 23 376

TRY THESE QUESTIONUse of lattice system to multiply numbers

Question 1 : 3 102 × 31 =

3 1 0 2

3

1


The product of 3 102 × 31 is ___________________

Question 2: 353 × 39 =

3 5 3

3

9


The product of 353 × 39 is ______________________

Question 3: 524 × 43 =

33

111

WAJA MATHS YEAR 4

5 2 4

4

3


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.

i. Divide four-digit numbers by a) one-digit numbers,b) 10, 100 and 1 000,c) two-digit numbers.

ii. Divide five-digit numbers by

a) one-digit numbers,b) 10, 100 and 1 000,c) two-digit numbers.

Multi Purpose Table (MPT)1 2 3 4 5 6 7 8 92 4 6 8 10 12 14 16 183 6 9 12 15 18 21 24 274 8 12 16 20 24 28 32 365 10 15 20 25 30 35 40 456 12 18 24 30 36 42 48 547 14 21 28 35 42 49 56 638 16 24 32 40 48 56 64 729 18 27 36 45 54 63 72 81

Practice/drill to complete MPT.

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Vocabulary

divide dividend quotient divisor remainder factors long division

Point to note

1) Recall division fact.2) Use of Multi Purpose Table (MPT).

WAJA MATHS YEAR 4

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Documents

1 Whole Numbers(Pg 1-34)