y6 Topic 1 Whole Numbers

8/4/2019 y6 Topic 1 Whole Numbers

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TOPIC ONE : WHOLE NUMBER

Learning Area : Numbers up to seven digits.

Learning Objectives : Develop number sense up to seven digits

Learning outcomes: Name and write numbers up to seven digits

Write the numbers in numerals or words

Number words Numerals

1. One million six hundred eleven thousand and twenty

2. Three million forty thousand and eighteen

3. Nine million five hundred two thousand and six

4. Two hundred thousand one hundred and eighty-seven

5. Four hundred sixty-six thousand three hundred and eighty-one

6. Six hundred fifty-nine thousand and forty

7. One million four hundred and three

8. Eight hundred twenty-four thousand and sixteen

9. Four million three hundred four thousand two hundred and eleven

10. Two hundred twenty-two thousand four hundred and twelve

11. 1 023 050

12. 6 801 701

13. 5 009 000

14. 675 418

15. 703 26816. 537 900

17. 3 421 745

18. 498 063

19. 3 421 743

20. 723 408


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A. Write the numbers in extended notation.

Example: 1 047 258 = 1 000 000 + 40 000 + 7 000 + 200 +50 + 8

= 1 million + 0 hundred thousands + 4 ten thousands + 7 thousands +

2 hundreds + 5 tens + 8 ones.

1. 2 416 300 = ....................................................................

2. 6 107 582 = ..

3. 5 360 090 =

4. 4 632 705 = .

5. 627 030 = .

6. 543 918 = ..

7. 970 512 = ..


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Write the numbers :

1. 3 000 000 + 80 000 + 50 000 + 6 000 + 200 + 90 + 7 =

2. 9 in millions and hundreds place , 0 in the hundred thousands , ten thousands ,

thousands and tens place , 3 in ones place

3. 4 millions + 6 hundred thousands + 7 ten thousands + 5 thousands +0 hundreds +

8 tens + 2 0nes =

4. Fill in the missing numbers

a) 9 307 582 = . + 300 000 + .. + 7 000 + 500 + 80 +2

b) 7 314 608 = 7 000 000 + . + . + 4 000 + .. + 0 + 8

c) 654 207 = 600 000 + . + 4 000 + 200 + 0 + 7


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Learning Outcomes ( ii ) :

Determine the place value of the digit in any whole number up to seven digits.

Write the place values or digit value of the underlined digits.

Number Place value Digit value

1 3 045 217 hundreds 200

2 8 129 634

3 7 052 618

4 6 431 085

5 9 216 830

6 6 129 635

7 1 428 367

8 9 305 421

9 2 047 698

10 5 206 781

11 890 741

12 126 905

13 943 258

14 376 027

15 645 394

16 981 267

17 946 22418 319 857

19 4 214 359

20 2 943 560


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(iii) Learning outcomes

Express whole numbers in a ) decimals b ) fractions of a million and vice versa

A. Write the whole numbers in decimals of a million and vice versa

Example a) 900 000 = 0.9 million b ) 1.8 million = 1 800 000

1. 860 000 =

2. 0.2 =

3. 1 502 000 =

4. 1.39 million =

5. 4 500 000 =

6. 3 250 000 =

7. 800 000 =

8. 4.8 million =

9. 0.4 million =

10. 9. 62 million

B. Write the whole numbers in fractions of a million and vice versa

Example a ) 1 500 000 = 1 1 million b) 5 3 million = 5 750 000

2 4

1. 250 000 =

2. 1 million =

2

3 . 8 750 000 =

4. 5 3 million =10

5. 3 500 000 =


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C. Complete the table

Whole numbers Decimal of a million Fraction of a million

800 000

1 250 000

6 500 000

9 750 000

200 000

650 000

2 890 000

6 500 000

2 250 000

4 750 000

D. Learning outcomes

iv) Compare number values up to seven digits

A. Complete the number lines

1.

2.

3.

42 108 42 208 42 408

106 750 108 750 109 750

2 510 403 2 410 403 2 110 403


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B. Underline the larger number

1. 890 070 , 809 700 4. 758. 650 , 728 560

2. 1 020 298 , 299 880 5. 2 330 110 , 2 313 400

3. 4 050 505 , 4 500 050 6. 5 160 040 , 5 600 100

C. Circle the biggest number

1. 1 822 101 , 1 821 121 , 1 821 101

2. 2 654 321 , 2 654 213 , 2 654 312

3. 1 933 311 , 1 933 131 , 1 933 401

4. 332 344 , 3 22 344 , 323 344

D. Circle the smallest number

1. 528 363 538 363 528 336

2. 1 257 072 1 257 207 1 257 270

3. 2 670 907 2 697 907 2 607 907

4. 1 382 866 1 384 626 1 388 266


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E. Arrange the numbers in ascending and descending orders

1.

Ascending order

Descending order

2.

Ascending order

Descending order

3.

Ascending order

Descending order

4.

Ascending order

Descending order

2 135 645 , 3 456 920 , 1 536 470 , 2 517 610 , 1 367

4 035 793 , 5 430 810 , 2 712 980 , 1 963 275 , 3 614

6 270 125 , 7 625 001 , 6 725 601 , 7 201 561 , 6 207 521

240 608 , 241 608 , 243 608 , 244 608 , 246 608


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Learning Outcomes

v) Round off numbers to the nearest tens, hundreds, thousands, ten thousands,

hundreds thousands and millions.

A. Round off the numbers to the nearest place value given.

1.

2.

3.

4.

5.

6.

To the nearest tensa) 1 257 652

b) 2 630 443

c) 368 495

To the nearest hundreds

a) 3 107 624

b) 9 243 385

c) 597 834

To the nearest thousands

a) 4 817 634

b) 6 562 236

c) 459 874

To the nearest ten thousands

a) 2 763 714

b) 6 548 372

c) 841 043

To the nearest hundred thousands

a) 4 563 317

b) 2 437 829

c) 569 372

To the nearest millions

a) 8 310 210

b) 4 873 193

c) 9 921 341


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B. Underline the correct numbers

1. 804 174 , 803 273 , 804 265

Rounded off to the nearest

tens 804 270

2. 609 804 , 610 555 , 611 023


thousands 616 000

3.

454 918 , 464 627 , 465 928 Rounded off to the nearest

ten thousands 460 000

4.

295 480 , 246 828 , 370 650 Rounded off to the nearest

hundreds thousands 300 000

5. 4 914 526, 2 135 456 , 3 622 416Rounded off to the nearest

millions 5 000 000

6. 2 454 918 , 1 464 317 , 2 414 918


hundreds thousands 1 500 000

C. Round off to the place value of the underlined digit.

1. 3 407 142

2. 6 352 731

3. 8 759 873

4. 2 638 087

5. 4 197 955

6. 9 836 042


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LA Basic Operation With Numbers Up To Seven Digit.

LO Add , subtract , multiply and divide

Loc (i) Add any two to five numbers to 9 999 999

A. Find the sums

1. 1 607 516 2. 4 032 512 3. 7 034 107

+ 121 043 + 2 645 367 50 241

__________ __________ + 114 241

____________

___________ ___________

_____________

4. 25 614 5. 5 071 007 6. 408 312

141 043 1 012 213 1 027 811+ 2 300 131 903 425 2 913 243

__________ + 126 806 + 8 615

___________ ______

___________

___________ _______

B. Find the total using the standard written method.

1. 1 045 649 + 43 210 = 2. 4 036 712 + 980 + 44 615 =

3. 6 031 217 + 814 050 + 93 026

+ 1 417 113 =

4. 108 600 + 3 716 513 + 40 607

+ 2 016 +18 + 78 =

5. 40 317 + 2 308 642 + 8 469 = 6. 3 204 500 + 520 800 + 34 700 =


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C. Find the answer

1. 1 570 613 + = 4 209 816

2. 1 320 401 + 3 160 455 + = 6 405 208

3. 2 461 305 + 23 475 + + 3 500 000

Learning outcome : Pupils will be able to subtract

A. Find the differences

1. 4 234 738

- 103 614

___________

___________

2. 6 465 819

- 51 409

________

_________

3. 7 365 406

- 1 213 106

________

_________

4. 9 825 463

- 2 712 101

__________

___________

5. 4 317 010

- 63 120

________

_________

6. 5 610 813

- 127 057

_________

__________

7. 2 315 634

- 1 203 945

___________________

8. 8 317 005

- 4 105 816

_____________________

9. 9 000 000

- 2 657 359

___________________


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B. Subtract using the standard written method

1. 5 031 029 68 123 875 = 2. 4 239 217 106 809 6 455 =

3. 7 100 802 3 490 691 93 = 4. 6 000 700 405 050 923 612 =

5. 3 680 322 73 491 2 812 750 = 5. 9 630 167 2 136 850 473 524 =


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D. Find the answer

1. 345 123 = 74 193

2. 6 317 251 - = 1 423 124

3. 348 259 - - 75 246 = 62 617

4. 72 413 60 000 = 63 459

5. 7 543 230 34 568 457 =

6. 5 786 00 - - 465 312 = 2 567 345


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Topic 1 : Whole Numbers

Learning Outcomes

(iii ) a. Multiply up to six digit number with a one digit number

Calculate the Products.

1. 60 256 x 3 =

2. 238 301 x 8 =

3. 408 301 x 9 =

4. 409 536 X 7 =

5. 480 932 X 5 =


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(iii ) a. Multiply up to six digit number with a two-digit number

1. 68 103 x 40 =

2. 38 205 x 15 =

3. 301 700 x 23 =

4. 20 435 X 46 =

5. 90 932 X 30 =


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(iii ) a. Multiply up to six digit number with 10, 100 and 1000

1. 3 789 x 10 =

2. 1 745 x 100 =

3. 9 657 x 100 =

4. 407 X 1000 =

5. 509 X 1000 =


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a) Divide number of up to seven digits by a one- digit number

Divide the following

1. 67 435 5 =

2. 4 896 8 =

3. 40 404 7 =

4. 9 315 9 =

5. 6 336 6 =


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b) Divide number of up to seven digits by 10, 100 and 1000

1. 78 450 10 =

2. 205 00 100 =

3. 260 10 100 =

4. 405 023 1000 =

5. 906 015 1000 =


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c) Divide number of up to seven digits by two-digit number

1. 44 424 18 =

2. 74 336 32 =

3. 30 006 60 =

4. 47 970 45 =

5. 66 990 22 =


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Solve the problems.

1. There are 3 605 chickens and ducks in a farm . The number of ducks is

147 more than the number of chickens.

Find the number of chickers.

2. Table 1 shows the number of occupants in two hostels.

Hostel Number of Occupants

X 160

Y 230

Z

Table 1

The number of occupants in hostel Z equals to the total number of occupants in

hostels X and Y. How many occupants in these three hostels ?

Table 2

3. Table 2 shows the number of greeting cards printed by three companies.

Find the total number of greeting cards printed by them.

Company Number of greeting

cards

P 1 453 800

Q 1.3 milion

R 1 784 670


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Solve the problems.

1. Find the difference between 300 000 and 80 915 .

2. The incomplete table shows the number of resident in three cities.

City Number of resident

A 277 000

B

C 450 782

Given the total number of residents in the three cities is 831 284. Find the number

of residents in city B.

3.

The diagram shows the populations of town X and town Y. Find the difference

between the populations of town X and town Y.

| | |

700 X 860

Diagram 2

4. Diagram 2 shows a number line. Find the value of X.

Town X

570 340 people

Town Y

1.2 milion people


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Solve the problems.

1. 445 pencils are shared equally among 5 boxes. How many pencils are there in 9

similar boxes ?

2. A container can hold 250 marbles. Amir wants to fill 8 simillar containers with

marbles.

Calculte the total number of marbles required by Amir ?

3. A house was built using by 10 875 bricks. How many bricks are needed to build 51

similar houses ?


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Solve the problems.

1. Fakri has 89 466 stickers. He puts the stickers equally into 26 packs. How many

stickers are left ?

2. 736 092 sweets are to be shared equally among 42 groups of pupils. How many

sweets does each group get ?

3. A total of 286 088 copies of newspaper are distributed equally among 44 vendors.

How many copies of the newspaper does each vendor get ?


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Learning Area : Mixed Operations With Numbers Up to Seven Digits

Find the answers.

1. 427 890 15 600 25 =

2. 3 090 + 14 x 3 =

3. 1 065 7 x 14 =

4. 695 + 2 115 9 =

5. 5 609 + 110 5 =


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Find the answers.

1. 12 745 + 742 X 56 =

2. 42 x 104 6 =

3. 123 + 55 x 12 =

4. 399 + 210 35 =

5. 1 260 12 X 26 =


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Find the answers.

1. ( 1050 + 20 650 ) X 12 =

2. ( 67 050 45 605 ) X 20 =

3. ( 3 198 + 21 618 ) 24 =

4. ( 5 169 + 4 075 ) X 32 =

5. ( 1 085 + 7 615 ) 60 =


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Find the answers.

1. 872 + ( 8 4 ) =

2. 1 080 ( 9 + 11 ) =

3. 18 x ( 6 + 3 ) =

4. 21 095 ( 702 86 ) =

5. 49 X ( 926 + 358 ) =


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Find the answers.

1. ( 24 + 26 ) X ( 64 14 ) =

2. ( 306 - 98 ) X ( 45 + 18 ) =

3. ( 908 + 16 ) ( 51 39 ) =

4. ( 876 + 574) ( 39 + 19 ) =

5. ( 1 254 169) ( 100 69 ) =


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Solve the problems.

1. A florist has sold 630 red and yellow roses. The number of red roses sold was 124

more than the yellow roses.

How many yellow roses does did the florist sell ?

2.

Diagram 1

Diagram 1 shows a triangle. The sum of the numbers on each side is the same. Find

the value of P.

3. Afikah has collected 560 eggs. 25 of them were broken. She put the remaining eggs

into 5 containers equally.

How many eggs are there in each container ?

4. Amirah borrowed eight books. Two of them have 120 pages each and the rest has

150 pages each.

Find the total numbers of pages for all the books ?

38


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5. There are durian, mangosteen and rambutan trees in an orchard. The number of

durian trees is 410 . The mangosteen trees are 105 more than the durian trees. The

rambutan trees were 85 less than the mangosteen trees.

How many fruit trees are there altogether ?

Given, an uncomplete table shows the numbers of spectators according to races in

a stadium.

6.

Race Number of spectators

Malay 23 600

Chinese

Indians 3 500

The number of Chinese spectators is 5345 more than the Indians.

Find the total number of the spectators in the stadium.

7. Pak Malik has plucked 247 cocounts. He gave 46 coconuts to his neighbourand the

remaining were sold to 3 grocers equally.

How many coconuts did each grocer get ?

The table below shows the number of villagers in Kampung Teruntum.

Children Adult

Male Female Male Female

981 306 1 089

8. There were 55 women more than the men in Kampung Teruntum.

Find the total number of villagers.


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9. A container can be filled with 450 marbles.

Atirah wants to fill up 8 similar containers. How many marbles

does she need?

10. A ferry can carry 360 passengers. A Ship can carry 4 times as many passengers

as the ferry. How many passengers can 2 ferries and 3 ships carry altogether ?


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TOPICAL TEST WHOLE NUMBERS


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Circle the correct answers.

1. The number 2 053 048 , written in .

words , is

A two million five hundred three

thousand and forty eight.

B two million fifty three thousand

and eighty four.

C two million thirty five thousand

and forty eight.

D two million fifty three thousand

and forty eight.

2. What is the place value of digit 3 in the

number 4 307 516?

A Hundred thousands

B Millions

C Ten thousands

D Thousands

3, When 1 426 708 is partitioned according to

the values of digits , it becomes

A 1 000 000 + 420 000 + 6 000 + 700 + 8

B 1 000 000 + 420 000 + 60 000 + 700 + 8

C 1 000 000 + 400 000 + 20 000 +

6 000 + 70 + 8

D 1 000 000 + 400 000 + 20 000 +

6 000 + 700 + 8

4. 8 500 000 =

A 8 1 million

5

B 8 1 million

2

C 85 million

D 850 million

5. In which of the following are the

numbers arrange in descending order?

A 4 013 928, 4 391 456, 5 036 719,

6 543 910, 6 718 920

B 3 480 075, 3 208 760, 3 195 238,

3 200 521, 3 002 521

C 2 371 037, 2 207 309, 2 137 608,

2 110 458, 2 020 951

D 1 631 800, 1 710 190, 1 690 110,

1 526 401, 1 500 400

6. Which of the following is the nearest to

1 1 million 2

A 1 409 900

B 1 490 090

C 1 505 000

D 1 501 999

7. Which of the following has the largest

value?

A 6.09B 6 600 100

C 6 1 million

2

D 6 3 million

4


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8. The diagram shows a number line

4 million X P 5

Million

Given P is in the middle of 4 million and 5 million

.Estimate the value of X.

A 4 1 million

2

B 4 1 million

4

C 4 1 million

5

D 4 1 million

10

9. Round off 5 396 027 to the nearest

million.

A 5-0 million

B 5-3 million

C 6-0 million

D 6,3 million

10. Which of the following numbers, when

rounded off to the nearest ten thousand,

becomes

1 750 000?

A 1 757 914

B 1 752 863C 1 744 648

D 1 740 527

11. 40 317 + 2 308 642 + 8 469 =

A 2 129 428

B 2 357 428

C 2 357 448

D 2 457 428

12. 3 204 500 + 520 800 + 34 700 =

A 0-37 million

B 0.376 mi[[ion

C 3.76 million

D 3.8 million

13. 0.3 million 25 128 =

A 4 872

B 5 128

C 274 872

D 275 128

14. 2 027 610 93 213 10 657 =

A 1 913 340

B 1 923 740

C 2 030 270

D 2 064 256

15. The product of 256 408 x 27 lies

between

A 6 500 000 and 6 550 000

B 6 550 000 and 6 600 000

C 6 600 000 and 6 500 000D 6 650 000 and 7 000 000


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16. The table shows the number of tourist

who visited an island from

2 004 to 2 007

Year Number of tourist

2004 430 156

2 005 0.7 million

2006 1.23 million

2007 989 844

Find the total number of tourist who visited the

island in four years

A 3.50 million

B 3 45 million

C 3.35 million

D 2.243 million

17. 5 076 680 35 =

A 145 048

B 145 046

C 116 476

D 116 474

18. Out of 1.028 million people in a city, 483

627 are men, 398 846 are women and the

rest are children. How many children are

there in the city?

A 163 643 C 145 527

B 156 773 D 136 637

19. A grocer sold 15 864 boxes of oranges

during a festival. There were 72 oranges in

each box. How many oranges did he sell?

A 142 776

B 175 670

C 1 129 248

D 1 142 208

20. A factory produced 1.863 million

pencils in June, July and August. How

many pencils were produced in a day?

A 20 700

B 20 440

C 20 380

D 20 250

21. 204 360 stickers are packed in

envelopes of thousands. Find the

number of stickers which are not

packed?

A 436

B 360

C 60

D 36

22. 0.076 million packets of milk are

distributed equally to 100 schools. How

many packets of milk does each school

receive?A 760

B 7 600

C 76 000

D 760 000


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23. 432 96 4 =

A 84

B 132

C 408

D 412

24. 4 932 + 387 x 6 =

A. 7 254

B. 7 234

C. 7 200

D. 7 164

25. 62 431 829 x 7 =

A 55 227

B 56 628

C 63 432

D 63 434

26. 4 035 + 720 15 =

A 311

B 317

C 3 990

D 4 083

27. 1 140 (12 + 18) =

A 38

B 77

C 83

D 113

28. 148 x 4 8 =

A 70 remainder 4

B 71 remainder 8

C 74

D 296

29. (150 + 56) x (10 + 16) =

A 726

B 3 296

C 5 356

D 6 760

30. 120 x (12 060 30) =

A 5 040

B 48 240

C 50 040

D 480 240

31. (140 + 67) x (40 + 13) =

A 763

B 1 656

C 10 971

D 40 439

32. 28 992 (60 28) =

A 96

B 906

C 960

D 9 060


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33. Shahrul sold 960 red buttons and white

button altogether. The red button were

142 more than the white buttons. How

many white buttons did he sell?

A 338

B 409

C 411

D 551

34. There are 521 eggs in a basket. 11 eggs

are broken. The rest of the eggs are

divided equally and packet into 17 trays.

How many eggs are there in each tray?

A 30

B 32

C 35

D 40

35. The table below shows the number of

beads in boxes R and S

Box R 9 084 beads

Box S 2 196 beads

How many beads must be taken out from box

R to put into box S so that both boxes have

the same number of beads?

A 5 640

B 3 644

C 3 444

D 3 056

36. Faiz has 1 250 mangosteens. He ties

some in bundles of 15. After tying 67

bundles, how many mangosteens are

left?

A 145

B 155

C 245

D 255

37. A warehouse has 108 boxes of

Mathematics workbooks and 108 boxes

of science workbooks. 92 boxes of

Mathematics workbooks are sent out.

How many boxes of workbooks are left

in warehouse?

A 184

B 124

C 96

D 16

38. 10 829 721 7 =

A 10 726

B 10 618

C 1 444

D 1 428


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39. The diagram below shows two number

cards

Find the product of the values of digit 9 and

digit 8.

A 72

B 7 200

C 72 000

D 720 000

SECTION B

1. Write two million forty-eight thousand and

twenty-one in numeral

2. Write 1 028 000 in a decimal of a million.

3. Write 5 750 000 in a fraction of a

Million

40. 469 338 23 =

A 2 406

B 20 046

C 20 406

D 24 006

4. Write 6 270 408 in extended notation

according to value of digit.

5.

Write the number in numerals.

34 617 20 485

3 millions + 1 hundred

thousands +0 ten thousands + 4thousands + 0 hundreds + 0 tens

+ 1 one


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6..Round off the number 7 148 537 to the

nearest million .

7. 828 552 12 =

8 286 + 308 11 =

9 78 + 27 x 6 =

10 92 beads are divided equally and put

into 8 boxes. How many beads are

there in 5 of the boxes?

11. Encik Samad divides 132 mangosteens

equally among his 9 children. He gives

the remaining mangosteens to his

youngest child. How many

mangosteens does his youngest child

get?

12. State the value of digit 6 in the number

206 713.

13. The diagram shows four numbers.

Arrange the numbers in ascending order.

38 21 3 821

31 28 32 8 1


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14.

Form the smallest six-digit number using all the

digits above.

15. 6 800 + 567 1 809 =

16. 103 56 4 =

17. 56 341 + 929 =

18. 48 + 96 12 =

19. 225 pencils are shared equally among

5 boxes. How many pencils are there in 8

similar boxes?

20. Sue Ann has 24 stamps and Nabila has 40

stamps. How many stamps does Nabila need

to give to Sue Ann so that both of them have

the same number of stamps?

4 2 0 6 3


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Topic 1 : Whole NumbersLearning Outcomes

(iii ) a. Multiply up to six digit number

with a one digit number

Calculate the Products.

1. 180 768

2. 1 906 408

3. 3 674 709

4. 2 866 752

5. 2 404 660

(iii ) a. Multiply up to six digit number with a two-

digit number

1. 272 4120

2. 573 075

3. 6 939 100

4. 940 010

5. 2 727 960

(iii ) a. Multiply up to six digit number with 10, 100

and 1000

1. 37 890

2. 174 500

3. 965 700

4. 407 000

5. 509 000

a) Divide number of up to seven digits by a one- digit

number

Divide the following

1. 13487

2. 612

3. 5772

4. 1035

5. 1056

b) Divide number of up to seven digits by 10, 100

and 1000

1. 7845

2. 205

3. 260 R 104. 4050 R 230

5. 906 R 15

c) Divide number of up to seven digits by two-digit

number

1. 2468

2. 2323

3. 500 R 6

4. 10665. 3045

Solve the problems.

1. 1729

2. 780

3. 4538470

Solve the problems.

1. 219085

2. 1035502

3. 629660

4. 780

Solve the problems.

1. 801

2. 2000

3. 554625

Solve the problems.

1. 3441

2. 17526

3. 6502

Learning Area : Mixed Operations With Numbers Up

to Seven Digits

Find the answers.

1. 427266

2. 3132

3. 967

4. 930

5. 5631


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Find the answers.

1. 54297

2. 728

3. 783

4. 405

5. 2730

Find the answers.

1. 260400

2. 428900

3. 1034

4. 295808

5. 145

Find the answers.

1. 218

2. 54

3. 162

4. 20479

5. 62916

Find the answers.

1. 2500

2. 13104

3. 77

4. 25

5. 35

Solve the problems.

1. 253

2. 54

3. 107

4. 1140

5. 1355

6. 35945

7. 67

8. 3520

9. 3600

10. 5040

y6 Topic 1 Whole Numbers

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