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1.

Round off each of the following to the nearest tens, hundreds and thousands.(i) 864(ii) 1249(iii) 54, 547(iv) 68, 076(v) 56, 293(vi) 7, 293(vii) 89, 24, 379

Answer»

(i) 864 – 860

864 – 900

864 – 1000

(ii) 1249 – 1250

1249 – 1200

1249 – 1000

(iii) 54, 547 – 54550

54, 547 – 54500

54, 547 – 55000

(iv) 68, 076 – 68, 080

68, 076 – 68, 100

68, 076 – 68, 000

(v) 56, 293 – 56, 290

56, 293 – 56, 300

56, 293 – 56, 000

(vi) 7, 293 – 7290

7, 293 – 7, 300

7, 293 – 7000

(vii) 89, 24, 379 – 89, 24, 380

89, 24, 379 – 89, 24, 400

89, 24, 379 – 89, 24, 000

2.

Estimate each difference to the nearest thousand:(i) 45974 – 38766(ii) 76003 – 48399

Answer»

(i) 45974 – 38766

45974 to the nearest thousand = 46000 and, 38760 to the nearest thousand = 39000

∴ Required difference = (46000 – 39000) = 7000

(ii) 76003 – 48399

76003 to the nearest thousand = 76000 and, 48399 to the nearest thousand = 48000

∴ Required difference = (76000 – 48000) = 28000

3.

Estimate the following differences correct to nearest ten :(i) 82 – 27(ii) 96 – 36(iii) 508 – 248

Answer»

(i) 82 – 27

82 to the nearest ten = 80 and, 27 to the nearest ten = 30

∴ Required difference = (80 – 30) = 50

(ii) 96 – 36

96 to the nearest ten = 100 and, 36 to the nearest ten = 40

∴ Required difference = (100 – 40) = 60

(iii) 508 – 248

508 to the nearest ten = 510 and, 248 to the nearest ten = 250

∴ Required difference = (510 – 250) = 260

4.

Write the smallest and the largest numbers which are rounded off to 130.

Answer»

The smallest number which is rounded off to 130 is 125

and The largest number which is rounded off to 130 is 134.

5.

Write the smallest and the largest numbers which are rounded off to 80.

Answer»

The smallest number which is rounded off to 80 is 75

and the largest number which is rounded off to 80 is 84.

6.

Estimate the sum of each pair of numbers to the nearest ten :(i) 67 and 44(ii) 34 and 87(iii) 23 and 66(iv) 78 and 18(v) 96 and 55(vi) 76 and 62(vii) 457 and 175(viii) 474 and 173(ix) 527 and 267

Answer»

(i) 67 and 44

67 to the nearest ten 70 and, 44 to the nearest ten = 40

∴ Required sum (70 + 40) = 110

(ii) 34 and 87

34 to the nearest ten = 30 and, 87 to the nearest ten = 90

∴ Required sum = (30 + 90) = 120

(iii) 23 and 66

23 to the nearest ten = 20 and, 66 to the nearest ten = 70

∴ Required sum = (20 + 70) = 90

(iv) 78 and 18

78 to the nearest ten = 80 and, 18 to the nearest ten = 20

∴ Required sum = (80 + 20) = 100

(v) 96 and 55

96 to the nearest ten = 100 and, 55 to the nearest ten = 60

∴ Required sum = (100 + 60) = 160

(vi) 76 and 62

76 to the nearest ten = 80 and, 62 to the nearest ten = 60

∴ Required sum = (80 + 60) = 140

(vii) 457 and 175

457 to the nearest ten = 460 and, 175 to the nearest ten = 180

∴ Required sum = (460 + 180) = 640

(viii) 474 and 173

474 to the nearest ten = 470 and, 173 to the nearest ten = 170

∴ Required sum = (470 + 170) = 640

(ix) 527 and 267

527 to the nearest ten = 530 and, 267 to the nearest ten = 270

∴ Required sum = (530 + 270) = 800

7.

Estimate the sum of each pair of numbers to the nearest hundred :(i) 336 and 782(ii) 546 and 342(iii) 270 and 495(iv) 4280 and 5295(v) 4230 and 2410(vi) 30047 and 39287

Answer»

(i) 336 and 782

336 to the nearest hundred = 300 and, 782 to the nearest hundred = 800

∴ Required sum = (300 + 800) = 1100

(ii) 546 and 342 

546 to the nearest hundred = 500 and 342 to the nearest hundred = 300

∴ Required sum = (500 + 300) = 800

(iii) 270 and 495

270 to the nearest hundred = 300 and, 495 to the nearest hundred = 500

∴ Required sum = (300 + 500) = 800

(iv) 4280 and 5295

4280 to the nearest hundred = 4300 and, 5295 to the nearest hundred = 5300

∴ Required sum = (4300 + 5300) = 9600

(v) 4230 and 2410

4230 to the nearest hundred = 4200 and, 2410 to the nearest hundred = 2400

∴ Required number = (4200 + 2400) = 6600

(vi) 30047 and 39287

30047 to the nearest hundred = 30000 and, 39287 to the nearest hundred = 39300

∴ Required sum = (30000 + 39300) = 69, 300

8.

List all the numbers which can be rounded off to 50.

Answer»

The numbers that can be rounded off to 50 are:

46, 47, 48, 49, 51, 52, 53, 54

9.

List all the numbers which can be round off to 30.

Answer»

The numbers that can be rounded off to 30 are:

26, 27, 28, 29, 31, 32, 33, 34