Year 4: Sample Topics 1.1 and 1.2

Number | Number structures

Topic 1.1 Whole numbers Place Value 5,367 can be broken into:

5 thousands, 3 hundreds, 6 tens and 7 ones (5,000 + 300 + 60 + 7) or 53 hundreds, 6 tens and 7 ones (5,300 + 60 + 7) or 536 tens and 7 ones (5,360 + 7)

Numbers can be broken into lots of different combinations

or 5,367 ones (5,367)

Learn Show these numbers on the numeral expanders.

a

2,431 us an d s

hu

hu

te ns

n dre d s

te ns

n dre d s

ones

tho

ones

us an d s

hu

hu

te ns

te ns

ones

ones

2

te ns

n dre d s

n dre d s

D

te ns

8,276

AF

b

R

tho

T

1

ones

ones

ones

ones

Answer these place value questions.

How much is the 7 worth in the number 2,785?

How much is the 9 worth in the number 9,103?

How many hundreds are in all of 4,168?

How many tens are in all of 3,496?

How many ones are in all of 6,219?

8

hu

te ns

n dre d s

te ns

ones

ones

ones

Year 4 Student Workbook | Mathematics and Statistics for Aotearoa New Zealand (Second edition) Oxford University Press

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3

Write each number:

a

in words

i

4,568

b

on the place value house.

Place value house Thousands

ii

8,043

iii

7,109

4

How many?

Hundreds

Tens

Ones

D

a

R

AF

T

How do the numbers in words connect with the place value house?

b

c

Year 4 Student Workbook | Mathematics and Statistics for Aotearoa New Zealand (Second edition) Oxford University Press

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Explore 1

Rewrite the number of votes in the table from largest to smallest.

Bird number

New Zealand’s bird of the year votes 2024 Bird number

10

Number of votes

Bird Kea

4,206

2

Ruru/morepork

4,467

3

Hoiho

6,328

4

Kākāpō

4,548

5

Pīwakawaka/fantail

4,205

6

Karure

5,442

AF

T

1

Number of votes

Make the largest number possible with 1, 7, 8 and 0.

3

Make the smallest number possible with 3, 8, 2, 1 and 3.

4

Count on and back from the number you made in question 2.

a

10 more

b

10 less

c

25 more

d

25 less

e

50 more

f

50 less

g

100 more

h

100 less

i

1,000 more

j

1,000 less

D

R

2

Year 4 Student Workbook | Mathematics and Statistics for Aotearoa New Zealand (Second edition) Oxford University Press

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Explore 5

Circle the number in which:

a

4 has the greatest value

3,472

6,324

4,012

b

9 has the smallest value

6,889

3,914

1,900

c

5 has the smallest value.

19,875

2,536

6,851

6

A hiker records the distances travelled on three different walking trails.

• Trail X: 5,430 metres • Trail Y: 6,215 metres

a

Write down the distances of each trail in words.

AF

Trail X: Trail Y: Trail Z:

Order the trails from shortest to longest.

R

b

T

• Trail Z: 4,800 metres

How much longer is Trail X than Trail Z?

7

Circle the bigger number in each of these pairs.

a

345 or 354

b

2,369 or 2,198

c

5,592 or 5,679

d

983 or 1,276

e

4,309 or 4,390

f

214 or 241

g

396 or 369

h

507 or 570

i

842 or 824

j

1,204 or 1,240

k

2,368 or 2,386

l

3,107 or 3,170

D

c

Year 4 Student Workbook | Mathematics and Statistics for Aotearoa New Zealand (Second edition) Oxford University Press

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Deepen 1

Complete the following number patterns.

a

Start at 742 and count forwards in 10s.

742

b

Start at 253 and count forwards in 100s.

253

c

752

353

Start at 482 and count forwards in 1,000s.

482

1,482

What do you notice about these patterns? Which place value column is changing in each pattern? Go back and circle the numbers that changed when either 10, 100 or 1,000 was added.

2

Riley is collecting stickers. She currently has 256 stickers. If Riley adds 100 stickers to her collection each week, how many stickers will she have after 3 weeks?

D

R

AF

T

d

3

Dave has $153 in his account. His Mum says she will pay him $10 to mow the lawns each week. How many weeks will it take for Dave to save more than $200?

12

Year 4 Student Workbook | Mathematics and Statistics for Aotearoa New Zealand (Second edition) Oxford University Press

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Number | Number structures

Topic 1.2 Rounding

Rounding to the nearest 10

47

Every number lives between two multiples of 10.

40

Example: Is 47 closer to 40 or 50?

45

50

We can use a number line to help us round.

The number 47 is nearer to 50 than it is to 40. So, 47 rounded to the nearest ten is 50.

Rounding rules: 4 or less: Round down.

5 or more: Round up.

Learn

Mark each number on the number line and circle the nearest ten it would round to.

a

56

c

34

e

28

g

675

i

729

2

Solve these rounding problems.

a

Mike read 27 pages of his book one day. If he rounded that number to

T

1

60

40

R

30

30

D

20

b

17

d

68

f

15

h

348

j

384

AF

50

670

680

720

730

10

20

60

70

10

20

340

350

380

390

the nearest ten, how many pages would he say he read? b

Yasmin spent a total of $48 on groceries. If she rounds this amount to the nearest ten, what amount will she say she spent?

c

The zoo has 152 animals in total. If the zookeeper rounds that number to the nearest ten, how many animals are at the zoo?

Year 4 Student Workbook | Mathematics and Statistics for Aotearoa New Zealand (Second edition) Oxford University Press

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Round down

Rounding to the nearest 100 When we round to the nearest 100, we are looking for which multiple of 100 (e.g. 100, 200) the number is closest to on a number line.

140

100

200 170

Round up

100

3

Locate the following numbers on each number line and circle the nearest 100.

a

670

b

200

350

d

300

400

300

874

800

900

R

Complete this table and identify which “100” is the nearest. The first one has been completed for you.

Lower 100

Number

Upper 100

Nearest 100

500

527

600

500

D

4

230

AF

c

700

Look at the tens digit: If the tens digit is 4 or less → Round down.

If the tens digit is 5 or more → Round up.

T

600

200

792 436

389 258 117

14

5

The Smyth family drove around New Zealand on holiday. Read the distances they travelled and round them to the nearest 100 km.

a

Auckland to Gisborne, they drove 495 km. This is approximately

.

b

Napier to Wellington, they drove 325 km. This is approximately

.

c

Clyde to Mosgiel, they drove 186 km. This is approximately

.

Year 4 Student Workbook | Mathematics and Statistics for Aotearoa New Zealand (Second edition) Oxford University Press

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Look at the hundreds digit.

If the hundreds digit is 4 or less → Round down.

If the hundreds digit is 5 or more → Round up.

Rounding to the nearest 1,000 To round to the nearest 1,000, you must look at the hundreds digit.

Example: 3,700 sits between 3,000 and 4,000.

Round up

It is closer to 4,000, so 4,000 is the nearest 1,000.

3,700

3,000

3,500

4,000

Explore 1

Locate the following numbers on each number line and circle the nearest 1,000.

a

8,900 8,000

d

34,790 34,000

35,000

3,000

56,202 56,000

57,000

Complete this table and identify which “1,000” the number is nearest to.

Two examples have been done for you.

Number 6,427 8,992 5,136 4,689 52,317 87,924

D

Lower 1,000 6,000

R

2

2,000

AF

c

9,000

2,480

T

b

Upper 1,000 7,000

Hundreds digit Nearest 1,000 4 6,000

3

Solve these rounding problems.

a

Aoraki/Mount Cook is 3,724 metres high. Rounded to the nearest 1,000, the height is metres.

b

Rakaia Bridge is the longest road bridge in New Zealand.

It is 1,756 m long. Rounded to the nearest 1,000, it would be m.

c

Spark Arena in Auckland can hold 12,200 people.

Rounded to the nearest 1,000, the capacity is

Year 4 Student Workbook | Mathematics and Statistics for Aotearoa New Zealand (Second edition) Oxford University Press

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.

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Rounding tenths to the nearest whole number

6.8

To round decimal numbers to the nearest whole number, you need to look at the tenths digit. E.g. 6.8 sits between 6 and 7.

On the number line, 6.8 sits closer to 7, so 6.8 rounded to the nearest whole number is 7.

6

7

Look at the tenths digit: If the tens digit is 4 or less → Round down. If the tens digit is 5 or more → Round up.

4

Place each decimal number on the number line, and circle the nearest whole number.

a

7.4 7

3

4

Complete this table.

15

d

29.3

29

16

30

Whole number before

Decimal number

Whole number after

Tenths digit

Nearest whole number

3

3.6

4

6

4

R

5

T

3.9

15.7

AF

c

8

b

D

35.5

15.9

0.7

68.2

6

a A conservationist weighs a Little Spotted Kiwi. The scale shows 1.29 kg. What is its weight rounded to the nearest whole number? kg b S arah ran 5.62 kilometres in her morning jog. If she rounds that distance to the nearest kilometre, how far did she run?

16

kg

km

Year 4 Student Workbook | Mathematics and Statistics for Aotearoa New Zealand (Second edition) Oxford University Press

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Deepen 1

Round up or down to the nearest 10.

a

62

2

Round up or down to the nearest 100.

a

491

3

Round up or down to the nearest 1,000.

a

6,088

4

Complete the table by rounding each number to the nearest 10, 100 and 1,000.

b

7,208 4,975

c

12,988

c

83,808

Nearest 100

Nearest 1,000

D

R

25,793 89,614

34,137

AF

8,693

78,345

34,470

Nearest 10

d

2,164

1,802

b

Number 3,491

5

c

48

T

b

Play this game with a classmate. You will need 3 dice and some counters each. One person rolls all 3 dice and arranges them into a number. E.g. 325, 532, 523, etc. Round your number to the nearest 10, and place your counter on that number on the board. If you get 4 counters in a row, you get a point.

10

120

130

140

150

160

170

20

220

230

240

250

260

270

30

320

330

340

350

360

370

40

420

430

440

450

460

470

50

520

530

540

550

560

570

60

620

630

640

650

660

670

Year 4 Student Workbook | Mathematics and Statistics for Aotearoa New Zealand (Second edition) Oxford University Press

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