The document RS Aggarwal Solutions: Number System Exercise - 1D Notes | EduRev is a part of the Class 6 Course Mathematics (Maths) Class 6.

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**Q.1. Round each of the following numbers to the nearest ten :****(a) 36****(b) 173****(c) 3869**

**(d) 16378****Ans.** (a) 40

(b) 170

(c) 3870

(d) 16380**Q.2. Round each of the following numbers to ****the nearest hundred :****(a) 814****(b) 1254****(c) 43126****(d) 98165****Ans.****(a)** 800**(b)** 1300**(c)** 43100**(d)** 98200**Q.3. Round each of the following numbers to****the nearest thousand :****(a) 793**

**(b) 4826****(c) 16719****(d) 28394****Ans.****(a)** 1000**(b)** 5000**(c) **17000**(d)** 28000**Q. 4. Round each of the following numbers to ****the nearest ten thousand :****(a) 17514****(b) 26340****(c) 34890**

**(d) 272685****Ans.**

(a) 20000

(b) 30000

(c) 30000

(d) 270000**Estimate each sum to the nearest ten :****Q.5. (57 + 34)****Ans.**

(57 + 34)

57 estimated to the nearest ten = 60

34 estimated to the nearest ten = 30

Required sum = 60 + 30 = 90**Q.6. (43 + 78)****Ans.**

(43 + 78)

43 estimated to the nearest ten = 40

78 estimated to the narest ten = 80

Required sum = 40 + 80 = 120 Ans.**Q.7. (14 + 69).****Ans.**

(14 + 69)

14 estimated to the nearest ten = 10

69 estimated to the nearest ten = 70

Required sum = 10 + 70 = 80 Ans.**Q.8. (86 + 19).**

**Ans.**

(86 + 19)

86 estimated to the nearest ten = 90

19 estimated to the nearest ten = 20

Required sum = 90 + 20 = 110 Ans.

Q.9. (95 + 58).**Ans.**

(95 + 58)

95 estimated to the nearest ten = 100

58 estimated to the nearest ten = 60

∴ Required sum = 100 + 60 = 160**Q.10. (77 + 63).**

**Ans.**

77 estimated to the nearest ten = 80

63 estimated to the nearest ten = 60

∴ Required sum = 80 + 60 = 140**Q.11. (356 + 275). Ans.**

(356 + 275)

356 estimated to the nearest ten = 360

275 estimated to the nearest ten = 280

∴ Required sum = 360 + 280 = 640

463 estimated to the nearest ten = 460

182 estimated to the nearest ten = 180

∴ Required sum = 460 + 180 = 640

538 estimated to the nearest ten = 540

276 estimated to the nearest ten = 280

Required sum = 540 + 280 = 820

(236 + 689)

236 estimated to the nearest hundred = 200

689 estimated to the nearest hundred = 700

∴ Required sum = 200 + 700 = 900

458 estimated to the nearest hundred = 500

324 estimated to the nearest hundred = 300

∴ Required sum = 500 + 300 = 800

170 estimated to the nearest hundred = 200

395 estimated to the nearest hundred = 400

∴ Required sum = 200 + 400 = 600

3280 estimated to the nearest hundred = 3300

4395 estimated to the nearest hundred = 4400

∴ Required sum = 3300 + 4400

= 7700

5130 estimated to the nearest hundred = 5100

1410 estimated to the nearest hundred = 1400

∴ Required sum = 5100 + 1400 = 6500

5130 estimated to the nearest hundred = 5100

1410 estimated to the nearest hundred = 1400

∴ Required sum = 5100 + 1400 = 6500

10083 estimated to the nearest hundred = 10100

29380 estimated to the nearest hundred = 29400

∴ Required sum = 10100 + 29400 = 39500**Estimate each sum to the nearest thousand :****Q.20. (32836 + 16466).**** Ans. **(32836 + 16466)

32836 estimated to the nearest thousand = 33000

16466 estimated to the nearest thousand = 16000

∴ Required sum = 33000 + 16000 = 49000

46703 estimated to the nearest thousand = 47000

11375 estimated to the nearest thousand = 11000

∴ Required sum = 47000 + 11000 = 58000

54 balls estimated to the nearest 10 = 50

79 balls estimated to the nearest 10 = 80

∴ Required total number of balls

= 50 + 80 + 130

53 estimated to the nearest ten = 50

18 estimated to the nearest ten = 20

∴ Difference of 50 and 20 = 50 – 20 = 30

97 estimated to the nearest ten = 100

38 estimated to the nearest ten = 40

∴ Difference of 100 and 40 = 100 – 40 = 60

409 estimated to the nearest ten = 410

148 estimated to the nearest ten = 150

∴ Difference of 410 and 150 = 410 – 150

= 260

678 estimated to the nearest hundred = 700

215 estimated to the nearest hundred = 200

∴ Difference between 700 and 200

= 700 – 200 = 500**Q.27. (957 – 578).****Ans.** (957 – 578)

957 estimated to the nearest hundred = 1000

578 estimated to the nearest hundred = 600

∴ Difference between 1000 and 600

= 1000 – 600 = 400**Q.28. (7258 – 2429).****Ans.** (7258 – 2429)

7258 estimated to the nearest hundred = 7300

2429 estimated to the nearest hundred = 2400

∴ Difference between 7300 and 2400

= 7300 – 2400 = 4900**Q.29. (5612 – 3095)****Ans.**

5612 estimated to the nearest hundred = 5600

3095 estimated to the nearest hundred = 3100

∴ Difference between 5600 and 3100

= 5600 – 3100 = 2500**Estimate each difference to the nearest thousand:****Q.30. (35863 – 27677)****Ans.**

35863 estimated to the nearest thousand = 36000

27677 estimated to the nearest thousand = 28000

∴ Difference between 36000 and 28000

= 36000 – 28000 = 8000**Q.31. (47005 – 39488).****Ans. **(47005 – 39488)

47005 estimated to the nearest thousand = 47000

39488 estimated to the nearest thousand = 39000

Difference between 47000 and 39000

= 47000 – 39000 = 8000

15 estimated to the nearest ten = 20

34 estimated to the nearest ten = 30

20 × 30 = 600 Ans.

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