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Page 1: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas

Page 2: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas

Sometimes we have to round numbers

What does rounding mean?

Can you think of some examples?

Page 3: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas

4040

Rounding to the nearest 10

The rounded number must have a zero at the end

Round 37 to the nearest 10

30 37

Page 4: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas

Rounding to the nearest 10

The rounded number must have a zero at the end

Round 154 to the nearest 10

160150 154150

Page 5: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas

Rounding to the nearest 10

Round 125 to the nearest 10

130120 125 130

When our number lies halfway between “tens”, we have agreed to round the number up.

Page 6: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas

Rounding to the nearest 10Numbers ending in 1, 2, 3 and

4 get rounded downNumbers ending in 5, 6, 7 , 8 and 9 get rounded up

Examples:

27 30

94 90

146 150

305 310

68 70

132 130

565 570

481 480

Page 7: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas

800800

Rounding to the nearest 100

The rounded number must have 2 zeros at the end

Round 764 to the nearest 100

700 764

Page 8: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas

12001200

The rounded number must have 2 zeros at the end

Round 1235 to the nearest 100

13001235

Rounding to the nearest 100

Page 9: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas

900900

Round 850 to the nearest 100

800 850

When our number lies halfway between “hundreds”, we have agreed to round the number up.

Rounding to the nearest 100

Page 10: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas

Numbers ending in 0s, 10s, 20s, 30s and 40s get rounded downNumbers ending in 50s, 60s, 70s , 80s and 90s get rounded up

Examples:

237 200

874 900

536 500

350 400

1168 1200

2032 2000

5750 5800

40081 40100

Rounding to the nearest 100

Page 11: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas

80008000

Rounding to the nearest 1000

The rounded number must have 3 zeros at the end

Round 7761 to the nearest 1000

7000 7761

Page 12: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas

80008000

The rounded number must have 3 zeros at the end

Round 8339 to the nearest 1000

90008339

Rounding to the nearest 1000

Page 13: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas

70007000

Round 6500 to the nearest 1000

6000 6500

When our number lies halfway between “thousands”, we have agreed to round the number up.

Rounding to the nearest 1000

Page 14: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas

Numbers ending in 00s, 100s, 200s, 300s and 400s get rounded downNumbers ending in 500s, 600s, 700s , 800s and 900s get rounded up

Examples:

2837 3000

4874 5000

5376 5000

7500 8000

1868 2000

2499 2000

29780 30000

45681 46000

Rounding to the nearest 1000

Page 15: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas

Practice Roundingto the nearest…

Page 16: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas

Round these numbers to the nearest…

48

87

184

145

1563

3217

2005

50

90

180

150

1560

3220

2010

…10

209

2867

3467

1095

1550

45678

61981

200

2900

3500

1100

1600

45700

62000

…100

3456

5349

89231

37849

32489

49838

71974

3000

5000

89000

38000

32000

50000

72000

…1000

…whole number2.7

4.2

10.4

3

4

10

27.9

7.67

33.37

28

8

33

31.436

764.92

0.86

31

765

1

Page 17: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas

Round these numbers to the nearest…

78

67

181

125

1343

3787

1998

80

70

180

130

1340

3790

2000

…10

279

2557

23107

16915

1850

49805

61041

300

2600

23100

16900

1900

49800

61000

…100

76532

64543

37859

90832

98114

89575

70456

77000

65000

38000

91000

98000

90000

70000

…1000

…whole number2.8

8.2

11.4

3

8

11

37.9

7.17

39.67

38

7

40

37.685

344.02

0.81

38

344

1

Page 18: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas

Quick Teston Roundingto the nearest…

Page 19: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas

Round these numbers to the nearest…

48

87

184

145

1563

3217

2005

50

90

180

150

1560

3220

2010

…10

209

2867

3467

1095

1550

45678

61981

200

2900

3500

1100

1600

45700

62000

…100

3456

5349

89231

37849

32489

49838

71974

3000

5000

89000

38000

32000

50000

72000

…1000

…whole number2.7

4.2

10.4

3

4

10

27.9

7.67

33.37

28

8

33

31.436

764.92

0.86

31

765

1

Page 20: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas

Round these numbers to the nearest…

78

67

181

125

1343

3787

1998

80

70

180

130

1340

3790

2000

…10

279

2557

23107

16915

1850

49805

61041

300

2600

23100

16900

1900

49800

61000

…100

76532

64543

37859

90832

98114

89575

70456

77000

65000

38000

91000

98000

90000

70000

…1000

…whole number2.8

8.2

11.4

3

8

11

37.9

7.17

39.67

38

7

40

37.685

344.02

0.81

38

344

1

Page 21: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas

Page 22: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas

We look at the 1st decimal place• If it is 0, 1, 2, 3 or 4 we just throw all the

decimal digits away

• If it is 5, 6, 7, 8 or 9 we throw all the decimal digits away and we increase the units by 1

Rounding decimals… to the nearest whole number

Examples:

23.7 24

8.94 9

53.6 54

3.52 4

1.768 2

20.32 20

5.8757 6

40.071 40

Page 23: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas

We look at the 2nd decimal place• If it is 0, 1, 2, 3 or 4 we just throw the 2nd, the

3rd, the 4th … decimal digits away

• If it is 5, 6, 7, 8 or 9 we throw the 2nd, the 3rd, the 4th … decimal digits away and we increase the 1st decimal digit by 1

Rounding decimals… to one decimal place

Examples:

3.734 3.7

8.294 8.3

9.16 9.2

6.52 6.5

5.728 5.7

41.32 41.3

5.8757 5.9

40.071 40.1

Page 24: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas

We look at the 3rd decimal place• If it is 0, 1, 2, 3 or 4 we just throw the 3rd, the

4th, the 5th … decimal digits away

• If it is 5, 6, 7, 8 or 9 we throw, the 3rd, the 4th, the 5th … decimal digits away and we increase the 2nd decimal digit by 1

Rounding decimals… to two decimal places

Examples:

3.7342 3.73

5.2863 5.29

0.1605 0.16

2.5782 2.58

5.7028 5.70

4.3592 4.36

5.8957 5.90

4.9971 5.00

Page 25: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas

Practice Roundingto Decimal Places

Page 26: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas

0.49978

8.5328

3.5004

4.089623

6.40078

5.36581

0.10704

1.48173

2.2258

9.2341

Round the following numbers to 1 decimal places

0.49878

7.3058

2.585423

0.46878

2.3553

9.48973

1.3173

8.75438

4.6751

1.56437

6.39745

5.471

3.117

1.8671.9

5.5

0.43456

6.4

5.245567

0.9034

1.6

4.7

8.8

2.724

1.32

9.49

4.1424

2.36

0.47

3.5024

2.59

7.31

0.50

2.226

1.482

5.366

6.401

4.090

8.533

0.500

23

Page 27: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas

Quick TestonNumber RoundingtoDecimal Places

Page 28: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas

5.36581

0.10704

1.48173

2.2258

9.2341

Round the following numbers to decimal places

2.3553

9.48973

1.3173

6.39745

5.471

3.117

1.8671.9

5.5

0.43456

6.4

2.724

1.32

9.49

4.1424

2.36

2.226

1.482

5.366

1 d.p. 2 d.p. 3 d.p.

Page 29: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas

Round the following numbers to decimal places

1 d.p. 2 d.p. 3 d.p.

0.49978

8.5328

3.5004

4.089623

6.40078

0.49878

7.3058

2.585423

0.46878

8.75438

4.6751

1.56437

5.245567

0.9034

1.6

4.7

8.8

0.47

3.5024

2.59

7.31

0.50

6.401

4.090

8.533

0.500

Page 30: © T Madas. Sometimes we have to round numbers What does rounding mean? Can you think of some examples?

© T Madas