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Number

Rounding & Estimation

1

Round to the Nearest 10 (Set A)

Circle the correct answer when rounding to the nearest 10.

Round 23 to the nearest 10

20
30
25

Round 47 to the nearest 10

40
50
45

Round 61 to the nearest 10

60
70
65

Round 85 to the nearest 10

80
90
85
2

Round to the Nearest 10 (Set B)

Circle the correct answer when rounding to the nearest 10.

Round 34 to the nearest 10

30
40
35

Round 78 to the nearest 10

70
80
75

Round 125 to the nearest 10

120
130
125

Round 556 to the nearest 10

550
560
555
3

Round to the Nearest 10 (Set C)

Circle the correct answer.

Round 15 to the nearest 10

10
20
15

Round 95 to the nearest 10

90
100
95

Round 245 to the nearest 10

240
250
245

Round 999 to the nearest 10

990
1000
1010
4

Round to the Nearest 100 (Set A)

Circle the correct answer when rounding to the nearest 100.

Round 238 to the nearest 100

200
300
230

Round 472 to the nearest 100

400
500
470

Round 850 to the nearest 100

800
900
850

Round 149 to the nearest 100

100
200
150
5

Round to the Nearest 100 (Set B)

Circle the correct answer when rounding to the nearest 100.

Round 550 to the nearest 100

500
600
550

Round 723 to the nearest 100

700
800
720

Round 1,347 to the nearest 100

1,300
1,400
1,350

Round 1,950 to the nearest 100

1,900
2,000
1,950
6

Match Numbers to Rounded Values (Nearest 10)

Draw a line from each number to its value rounded to the nearest 10.

23
47
65
88
14
90
70
20
50
10
7

Match Numbers to Rounded Values (Nearest 100)

Draw a line from each number to its value rounded to the nearest 100.

267
450
819
135
672
100
300
500
700
800
8

Sort: Rounds Up or Rounds Down? (Nearest 10)

When rounding to the nearest 10, does the number round up or down?

32
78
45
14
67
91
Rounds down
Rounds up
9

Sort: Rounds Up or Rounds Down? (Nearest 100)

When rounding to the nearest 100, does the number round up or down?

230
780
450
120
670
950
Rounds down
Rounds up
10

Round Then Add (Nearest 10)

Round each part to the nearest 10, then add. The total is the estimate.

80
38
?
90
?
43
120
57
?
100
?
52
11

Rounding Rules

Circle the correct answer about rounding.

When the ones digit is 5, we round:

Down
Up
Stay the same

When the ones digit is 3, we round:

Down
Up
Stay the same

When the ones digit is 8, we round:

Down
Up
Stay the same

When rounding 350 to the nearest 100, we get:

300
400
350
12

True or False? (Rounding)

Circle TRUE or FALSE.

47 rounded to the nearest 10 is 50

TRUE
FALSE

342 rounded to the nearest 100 is 400

TRUE
FALSE

65 rounded to the nearest 10 is 60

TRUE
FALSE

750 rounded to the nearest 100 is 800

TRUE
FALSE
13

True or False? (Rounding – Set B)

Circle TRUE or FALSE.

155 rounded to the nearest 10 is 160

TRUE
FALSE

499 rounded to the nearest 100 is 500

TRUE
FALSE

2,345 rounded to the nearest 1,000 is 2,000

TRUE
FALSE

Rounding 5 to the nearest 10 gives 10

TRUE
FALSE
14

Round to the Nearest 10 (Set C)

Circle the correct rounded number.

83 ≈

80
90
85

127 ≈

120
130
125

555 ≈

550
560
555

1,048 ≈

1,040
1,050
1,000
15

Round to the Nearest 100 (Set C)

Circle the correct rounded number.

672 ≈

600
700
670

2,350 ≈

2,300
2,400
2,000

1,149 ≈

1,100
1,200
1,000

4,850 ≈

4,800
4,900
5,000
16

Round to the Nearest 1,000 (Set A)

Circle the correct rounded number.

3,421 ≈

3,000
3,500
4,000

7,890 ≈

7,000
8,000
7,900

5,500 ≈

5,000
5,500
6,000

1,250 ≈

1,000
1,300
2,000
17

Round to the Nearest 1,000 (Set B)

Circle the answer.

6,501 ≈

6,000
7,000
6,500

2,499 ≈

2,000
2,500
3,000

8,750 ≈

8,000
9,000
8,800

4,050 ≈

4,000
4,100
5,000
18

Match Numbers to Rounded Values (Nearest 10)

Draw a line to match.

67
123
385
1,046
999
1,000
70
390
120
1,050
19

Match Numbers to Rounded Values (Nearest 100)

Draw a line to match.

268
549
1,350
2,780
4,999
300
500
1,400
2,800
5,000
20

Estimation Sums

Round each partA and partB to the nearest 10, then add. Total is the estimate.

80
38
?
100
?
52
120
58
?
90
?
43
150
72
?
21

Estimation Sums (Set B)

Round to the nearest 10 to estimate. Find the missing estimate.

110
53
?
160
?
78
200
99
?
140
?
68
180
89
?
22

Rounds Up or Down? (Nearest 10)

Sort each number: does it round up or down to the nearest 10?

43
78
55
112
234
167
Rounds DOWN
Rounds UP
23

Rounds Up or Down? (Nearest 100)

Sort each number.

230
678
450
1,320
849
2,501
Rounds DOWN
Rounds UP
24

Estimate Before You Calculate

Round each number to the nearest 10 first, then estimate the answer.

48 + 33: Round: ___ + ___ = ___ (estimate)

87 − 29: Round: ___ − ___ = ___ (estimate)

56 + 74: Round: ___ + ___ = ___ (estimate)

103 − 48: Round: ___ − ___ = ___ (estimate)

25

Estimate Before You Calculate (Set B)

Round to the nearest 100, then estimate.

378 + 412: Round: ___ + ___ = ___ (estimate)

890 − 321: Round: ___ − ___ = ___ (estimate)

1,245 + 767: Round: ___ + ___ = ___ (estimate)

2,500 − 1,280: Round: ___ − ___ = ___ (estimate)

26

Rounding Sequences

Round each number to the nearest 10 and continue the pattern.

10
20
30
40
?
?
?
100
200
300
400
?
?
?
27

Count and Round (Set A)

Count the objects, then round to the nearest 10.

×10
×10
?
?
×10
×10
×10
?
×10
×10
×10
×10
?
28

Count and Round (Set B)

Count the objects, then round to the nearest 10.

×10
×10
?
?
×10
×10
×10
×10
?
×10
×10
×10
×10
×10
?
29

Best Estimate (Set A)

Circle the best estimate for each calculation.

49 + 52 is close to:

80
100
120

198 + 103 is close to:

200
300
400

95 − 48 is close to:

30
50
70

512 + 489 is close to:

800
1,000
1,200
30

Best Estimate (Set B)

Circle the best estimate.

73 × 2 is close to:

120
140
160

298 + 305 is close to:

500
600
700

1,020 − 498 is close to:

400
500
600

4 × 52 is close to:

150
200
250
31

Match the Estimate (Addition)

Round each number to the nearest 100 and match to the estimated sum.

312 + 489
725 − 298
195 + 406
867 − 512
600
400
800
400
32

Match the Estimate (Multiplication)

Round to make the multiplication easier, then match.

19 × 5
31 × 4
48 × 2
11 × 9
100
100
120
100
33

Estimate the Sum (Set A)

Round each number to the nearest 10, then estimate the sum.

38 + 51 ≈ ?

80
90
100

27 + 64 ≈ ?

80
90
100

73 + 48 ≈ ?

110
120
130

86 + 35 ≈ ?

110
120
130
34

Estimate the Sum (Set B)

Round each number to the nearest 100, then estimate.

312 + 489 ≈ ?

700
800
900

147 + 263 ≈ ?

300
400
500

561 + 438 ≈ ?

900
1000
1100

823 + 179 ≈ ?

900
1000
1100
35

Estimate the Difference (Set A)

Round to the nearest 10, then estimate the difference.

82 − 29 ≈ ?

40
50
60

97 − 43 ≈ ?

50
60
70

61 − 18 ≈ ?

40
50
60

78 − 32 ≈ ?

40
50
60
36

Estimate the Difference (Set B)

Round to the nearest 100, then estimate.

789 − 312 ≈ ?

400
500
600

945 − 478 ≈ ?

400
500
600

1,230 − 680 ≈ ?

500
600
700

2,100 − 890 ≈ ?

1,100
1,200
1,300
37

Is It Reasonable? (Set A)

Use estimation to decide if the answer is reasonable. Circle YES or NO.

398 + 211 = 609. Reasonable?

YES
NO

742 − 289 = 253. Reasonable?

YES
NO

505 + 497 = 1,002. Reasonable?

YES
NO

830 − 419 = 611. Reasonable?

YES
NO
38

Is It Reasonable? (Set B)

Use estimation to decide if the answer is reasonable.

199 + 203 = 402. Reasonable?

YES
NO

567 − 234 = 433. Reasonable?

YES
NO

8 × 49 = 292. Reasonable?

YES
NO

312 + 298 = 610. Reasonable?

YES
NO
39

Estimate, Then Calculate (Set A)

First estimate by rounding, then find the exact answer.

347 + 256: Estimate = ___ , Exact = ___

891 − 438: Estimate = ___ , Exact = ___

623 + 389: Estimate = ___ , Exact = ___

40

Estimate, Then Calculate (Set B)

First estimate by rounding, then find the exact answer.

478 + 323: Estimate = ___ , Exact = ___

1,050 − 672: Estimate = ___ , Exact = ___

836 + 164: Estimate = ___ , Exact = ___

41

Round to the Nearest 1,000

Round each number to the nearest 1,000.

Round 3,450 to the nearest 1,000: ___

Round 7,890 to the nearest 1,000: ___

Round 1,500 to the nearest 1,000: ___

Round 9,250 to the nearest 1,000: ___

42

Estimation Word Problems (Set A)

Estimate first, then solve. Show your working.

A school has 387 students. 194 are girls. About how many are boys? Estimate first.

A baker makes 48 muffins each day. About how many in 5 days? Estimate first.

43

Estimation Word Problems (Set B)

Estimate first, then solve.

A shop sold 312 items on Saturday and 289 on Sunday. About how many altogether?

A pool holds 1,250 litres. 478 litres have been drained. About how many litres are left?

44

Best Estimate for Multiplication

Use rounding to find the best estimate.

19 × 6 ≈ ?

100
120
140

32 × 4 ≈ ?

100
120
160

49 × 5 ≈ ?

200
250
300

98 × 3 ≈ ?

270
300
330
45

Was the Estimate Close?

Estimate, then calculate. How close was your estimate?

52 × 8: Estimate = ___, Exact = ___, Difference = ___

297 + 405: Estimate = ___, Exact = ___, Difference = ___

46

Challenge: When Is Estimation Useful?

Answer these thinking questions.

Give an example of when you would estimate instead of finding the exact answer.

You estimate 48 + 53 ≈ 100. The exact answer is 101. Is this a good estimate? Why?

Why might two people get different estimates for the same calculation?

47

Home Activity: Estimation in Everyday Life

Practise estimating in real situations!

  • 1At the shops, round each price to the nearest dollar. Estimate the total before paying.
  • 2Estimate how many steps it takes to walk from your bedroom to the kitchen. Then count!
  • 3Guess how many pages are in a book. Then check — were you close?
  • 4Round your family members' ages to the nearest 10. Add them up for an estimated total.
48

Round to Nearest 10 (Set C)

Circle the correct rounded number.

Round 87 to the nearest 10:

80
90
100

Round 153 to the nearest 10:

140
150
160

Round 495 to the nearest 10:

490
500
510

Round 2,348 to the nearest 10:

2,340
2,350
2,360
49

Round to Nearest 100 (Set C)

Circle the correct rounded number.

Round 452 to the nearest 100:

400
500
600

Round 850 to the nearest 100:

800
900
1,000

Round 1,349 to the nearest 100:

1,200
1,300
1,400

Round 7,651 to the nearest 100:

7,500
7,600
7,700
50

Round to Nearest 1,000 (Set B)

Circle the correct rounded number.

Round 3,712 to the nearest 1,000:

3,000
4,000
5,000

Round 8,499 to the nearest 1,000:

7,000
8,000
9,000

Round 5,501 to the nearest 1,000:

5,000
6,000
7,000

Round 9,945 to the nearest 1,000:

9,000
10,000
11,000
51

Rounding on the Number Line

Fill in the midpoint of each pair of round numbers.

40
50
55
60
?
700
750
800
900
?
3000
3500
4000
5000
?
52

Match Numbers to Rounded Values (Nearest 100)

Draw a line to match each number to its rounded value.

348
752
1,450
3,085
9,980
3,100
1,500
10,000
300
800
53

Estimate Then Calculate (Set B)

Estimate first, then find the exact answer.

487 + 312: estimate = ___, exact = ___

823 − 398: estimate = ___, exact = ___

6 × 97: estimate = ___, exact = ___

54

Sort: Rounds to 500 or Rounds to 600?

Sort each number by where it rounds (to nearest 100).

523
576
548
549
551
612
Rounds to 500
Rounds to 600
55

Rounding in Real Life (Set B)

Solve each estimation problem.

A cinema has 348 seats. About how many seats, rounded to the nearest 100?

A car journey is 1,287 km. About how far, rounded to the nearest 1,000?

A school fundraiser collected $2,748. About how much, to the nearest $100?

A crowd of 9,460 watched a football match. About how many, to the nearest 1,000?

56

Rounding and Estimation Bonds

Use rounding to estimate each total. Find the missing addend.

800
398
?
600
?
197
1000
499
?
500
?
202
1200
601
?
57

Over-Estimate or Under-Estimate?

Is the estimate an over-estimate or under-estimate?

Round 47 up to 50. Then 50 + 30 = 80. Actual is 47 + 30 = 77. This estimate is:

Over-estimate
Under-estimate
Exact

Round 59 down to 50. Then 50 × 6 = 300. Actual is 59 × 6 = 354. This estimate is:

Over-estimate
Under-estimate
Exact

Round 32 up to 40. Then 40 × 5 = 200. Actual is 32 × 5 = 160. This estimate is:

Over-estimate
Under-estimate
Exact
58

Explain Your Rounding

Write about your thinking.

When rounding 3,450 to the nearest 1,000, what digit do you look at? Why?

Can a number round to the same value to the nearest 10 and nearest 100? Give an example.

Give a real-life example where an over-estimate would be safer than an under-estimate.

59

Multi-Step Estimation

Estimate each answer. Show your thinking.

A shop sells 47 items on Monday, 52 on Tuesday and 61 on Wednesday. Estimate the total.

There are 289 students in 3 year levels. Estimate the number per year level.

60

Rounding Results Tally

Tally each number according to which hundred it rounds to.

ItemTallyTotal
Rounds to 300
Rounds to 400
Rounds to 500
Rounds to 600
61

Rounding Decimals to the Nearest Whole Number

Round each decimal to the nearest whole number.

Round 3.7 to the nearest whole: ___

Round 8.2 to the nearest whole: ___

Round 5.5 to the nearest whole: ___

Round 12.8 to the nearest whole: ___

Round 19.4 to the nearest whole: ___

62

Check Answers with Estimation

Check whether each answer is reasonable using rounding.

A student says 347 + 289 = 736. Is this reasonable? Estimate to check.

A student says 8 × 63 = 454. Is this reasonable? Estimate to check.

A student says 725 − 198 = 527. Is this reasonable? Estimate to check.

63

Place Value and Rounding

Answer these place-value rounding questions.

What is the largest whole number that rounds to 400 (to the nearest 100)?

What is the smallest whole number that rounds to 600 (to the nearest 100)?

Write all the two-digit whole numbers that round to 70 (to the nearest 10).

64

Rounding Large Numbers

Round each large number.

Round 45,678 to the nearest 1,000: ___

Round 89,432 to the nearest 10,000: ___

Round 123,456 to the nearest 1,000: ___

Round 999,500 to the nearest 1,000: ___

65

Rounding Challenge: Find All Possibilities

Think carefully about these questions.

A number rounds to 3,000 (nearest 1,000). What could the number be? List five possibilities.

A number rounds to 7,500 (nearest 100). What is the range of numbers it could be?

66

Reasoning About Rounding

Answer each reasoning question.

Two students round 2,500 to the nearest 1,000. Asha says 2,000 and Ben says 3,000. Who is right? Explain.

Why is rounding useful when calculating with large numbers?

Give two jobs or careers where estimation is very important. Explain why.

What to do next

Number

Odd & Even Numbers

Use properties of odd and even numbers