Worksheet on Rounding Decimals

The worksheet on rounding decimals would be really good for the students to practice huge number of questions related to round a decimal.

This worksheet include questions related round decimals to the nearest whole number; round decimals to the nearest tenth; round decimals to the nearest hundredth and round decimals to the nearest thousandth.

I. Round off each of the following to the nearest whole number.

(a) 8.71

(b) 26.01

(c) 69.48

(d) 103.72

(e) 49.84

(f) 101.35

(g) 39.814

(h) 1.23

II. Round off the decimal:

(a) 3.153 to the nearest tenths

(b) 10.126 to the nearest hundredths

(c) 5.0014 to the nearest thousandths

(d) 5.992 to the nearest tenths

(e) 21.805 to the nearest hundredths

(f) 3.1089 to the nearest thousandths

III. Find the value of

(a) 23.37 correct to 1 decimal place

(b) 1.2003 correct to 3 decimal places

(c) 7.755 correct to 2 decimal places

(d) 9.99 correct to 1 decimal place

(e) 101.2345 correct to 3 decimal places

(f) 121.513 correct to 2 decimal places

(g) 1.00203 correct to 4 decimal places

(h) 301.081 correct to 2 decimal places

(i) 0.3446 correct to 3 decimal places

(j) 10.947 correct to 1 decimal place

IV. Find the number of significant digits in the following.

(a) 5.60

(b) 0.09

(c) 80.80

(d) 9.03

(e) 101

(f) 70.3

(g) 0.304

(h) 0.05010

V. Round off the following decimals to the nearest one.

1. 17.5

2. 0.6

3. 28.7

4. 22.98

5. 192.25

6. 13.34

7. 2.946

8. 12.13

9. 21.72

10. 124.73

11. 322.18

12. 92.32

13. 532.63

14. 681.30

15. 98.06

16. 79.38

17. 4.937

18. 26.84

19. 6.937

20. 107.06

21. 7.93

22. 53.138

23. 19.069

24. 231.38

25. 12.93

26. 173.222

27. 30.438

28. 117.909

VI. Round off the following decimals to the nearest tenth.

1. 28.75

2. 1.34

3. 16.26

4. 4.94

5. 240.79

6. 24.07

7. 125.552

8. 722.123

9. 34.365

10. 432.241

11. 95.38

12. 36.87

13. 132.92

14. 24.247

15. 38.247

16. 122.342

17. 12.426

18. 24.026

19. 44.387

20. 137.48

21. 14.638

22. 125.29

23. 12.831

24. 54.321

25. 57.342

26. 105.38

27. 56.711

28. 631.203

VII. Round off the following to the nearest hundredth.

1. 25.725

2. 0.698

3. 17.304

4. 63.354

5. 21.895

6. 8.082

7. 12.416

8. 26.173

9. 83.438

10. 17.329

11. 32.254

12. 65.973

13. 52.346

14. 41.452

15. 78.437

16. 23.245

17. 56.214

18. 42.163

19. 41.216

20. 46.581

21. 31.575

22. 89.268

23 24.438

24. 9.3472

25. 7.3249

26, 21.3038

27. 291.343

28. 51.555

VIII. Round off to the nearest thousandth place.

1. 4.17392

2. 9.32385

3. 0.38432

4. 1.11312

5. 8.030816

6. 4.03845

7. 6.43812

8. 4.52389

9. 2.64391

10. 17.3216

11. 12.03084

12. 36.4949

IX. Round off the following to the nearest tenth.

1. 0.5555.....

2. 0.3636.....

3. 0.9999.....

4. 0.6363.....

5. 0.9166.....

6. 0.3333.....

7. 0.7777.....

8. 0.7142.....

9. 0.57142.....

10. 0.1428.....

11. 0.6666.....

12. 0.966.....

X. Round off the following to the nearest hundredth.

1. 0.1666.....

2. 1.8366.....

3. 0.4285.....

4. 1.1428.....

5. 2.4444.....

6. 7.6666.....

7. 4.3333.....

8. 5.7777.....

9. 0.9090.....

10. 0.0769.....

11. 0.1538.....

12. 0.4615.....

XI. Round off the following to the nearest thousand.

1. 1.31428.....

2. 0.63333.....

3. 0.818181.....

4. 2.32857.....

5. 0.15432.....

6. 0.58888.....

7. 6.14666.....

8. 0.79797.....

9. 0.55555.....

10. 2.67441.....

11. 0.53488.....

12. 1.33709.....

XII. Round off the following as directed.

(i) 6.8, 8.53, 12.75, 5.83 and 17.42 to the nearest one

(ii) 2.75, 3.68, 6.203, 8.529 and 193.325 to the nearest tenth

(iii) 15.645, 17.308, 9.2541, 5.6793 and 19.7823 to the nearest hundredth

XIII. Fill in the blanks:

A. Rounding off to the nearest one

(i) 9.8 = __________

(ii) 4.21 = __________

(iii) 7.92 = __________

(iv) 22.38 = __________

(v) 38.62 = __________

B. Rounding off to the nearest tenth

(i) 6.43 = __________

(ii) 8.07 = __________

(iii) 5.371 = __________

(iv) 17.693 = __________

(v) 16.502 = __________

C. Rounding off to the nearest hundredth

(i) 5.2984

(ii) 12.6321

(iii) 24.6384

(iv) 29.9479

(v) 28.4021

XIV. Word problems involving place value of decimals

(i) What is the nearest whole number of 13.607?

(ii) What is the place value to the nearest tenths of 3.105?

(iii) What is the place value to the nearest hundredths of 41.252?

(iv) What is the place value to the nearest thousandths of 56.3009?

(v) What is the place value to the nearest whole number of 9.57?

XV. Word problems on rounding off a decimals:

(i) An export house purchases 9237.125 m of cloth. Find the length of cloth purchased to the nearest one.

(ii) Nairitee was asked to add 7.63, 8.96 and 2.25. She had to mention the answer to the nearest one. She mentioned the answer as 18. Is the answer correct? If not, what is the correct answer?

Answers for the worksheet on rounding decimals are given below to check the exact answers of the above problems related to round off the place value of decimals.

Answers:

I. (a) 9

(b) 26

(c) 69

(d) 104

(e) 50

(f) 101

(g) 40

(h) 1

II. (a) 3.2

(b) 10.13

(c) 5.001

(d) 6

(e) 21.81

(f) 3.109

III. (a) 23.4

(b) 1.200

(c) 7.76

(d) 10.0

(e) 101.235

(f) 121.51

(g) 1.0020

(h) 301.08

(i) 0.345

(j) 10.9

IV. (a) 3

(b) 1

(c) 4

(d) 3

(e) 3

(f) 3

(g) 3

(h) 4

V. 1. 18

2. 1

3. 29

4. 23

5. 192

6. 13

7. 3

8. 12

9. 22

10. 125

11. 322

12. 92

13. 533

14. 681

15. 98

16. 79

17. 5

18. 27

19. 7

20. 107

21. 8

22. 53

23. 19

24. 231

25. 13

26. 173

27. 30

28. 118

VI. 1. 28.8

2. 1.3

3. 16.3

4. 4.9

5. 240.8

6. 24.1

7. 125.6

8. 722.1

9. 34.4

10. 432.2

11. 95.4

12. 36.9

13. 132.9

14. 24.2

15. 38.2

16. 122.3

17. 12.4

18. 24

19. 44.4

20. 137.5

21. 14.6

22. 125.3

23. 12.8

24. 54.3

25. 57.3

26. 105.4

27. 56.7

28. 631.2

VII. 1. 25.73

2. 0.7

3. 17.3

4. 63.35

5. 21.9

6. 8.08

7. 12.42

8. 26.17

9. 83.44

10. 17.33

11. 32.25

12. 65.97

13. 52.35

14. 41.45

15. 78.44

16. 23.25

17. 56.21

18. 42.16

19. 41.22

20. 46.58

21. 31.58

22. 89.27

23 24.44

24. 9.35

25. 7.32

26, 21.3

27. 291.34

28. 51.56

VIII. 1. 4.174

2. 9.324

3. 0.384

4. 1.113

5. 8.031

6. 4.038

7. 6.438

8. 4.524

9. 2.644

10. 17.322

11. 12.031

12. 36.495

IX. 1. 0.6

2. 0.4

3. 1

4. 0.6

5. 0.9

6. 0.3

7. 0.8

8. 0.7

9. 0.6

10. 0.1

11. 0.7

12. 1

X. 1. 0.17

2. 1.84

3. 0.43

4. 1.14

5. 2.44

6. 7.67

7. 4.33

8. 5.78

9. 0.91

10. 0.08

11. 0.15

12. 0.46

XI. 1. 1.314

2. 0.633

3. 0.818

4. 2.329

5. 0.154

6. 0.589

7. 6.147

8. 0.798

9. 0.556

10. 2.674

11. 0.535

12. 1.337

XII. (i) 7, 9, 13, 6, 17

(ii) 2.8, 3.7, 6.2, 8.5, 193.3

(iii) 15.65, 17.31, 9.25, 5.68, 19.78

XIII. A. (i) 10

(ii) 4

(iii) 8

(iv) 22

(v) 39

B. (i) 6.4

(ii) 8.1

(iii) 5.4

(iv) 17.7

(v) 16.5

C. (i) 5.3

(ii) 12.63

(iii) 24.64

(iv) 29.95

(v) 28.4

XIV. (i) 14

(ii) 3.1

(iii) 41.25

(iv) 56.301

(v) 10

XV. (i) 9237 m 

(ii) No, 19

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