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NCERT Class 6th Mathematics Chapter 1 – Knowing Our Numbers Solutions Exercise 1.3 Solutions
1. Estimate each of the following using general rule:
(a) 730 + 998 (b) 796 – 314 (c) 12,904 +2,888 (d) 28,292 – 21,496
Make ten more such examples of addition, subtraction and estimation of their outcome.
Sol: (a) 730 + 998
Round off to nearest hundred
730 is round off to 700
998 is round off to 1000
Estimate sum = 700 + 1000 = 1700
(b) 796 – 314
Sol: Round off to nearest hundred
796 is round off to 800
314 is round off to 300
Estimate difference = 800 – 300 = 500
(c) 12,904 +2,888
Sol: Round off to nearest thousand
12,904 is round off to 13,000
2,888 is round off to 3000
Estimate sum = 13,000 + 3,000 = 16,000
(d) 28,292 – 21,496
Sol: Round off to nearest thousand
28,292 is round off to 28,000
21,496 is round off to 21,000
Estimate difference = 28,000 – 21,000 = 7,000
2. Give a rough estimate (by rounding off to nearest hundreds) and also a closer estimate (by rounding off to nearest tens) :
(a) 439 + 334 + 4,317 (b) 1,08,734 – 47,599 (c) 8325 – 491 (d) 4,89,348 – 48,365
Make four more such examples.
(a) 439 + 334 + 4,317
Sol: ROUGH ESTIMATE
Rounding off to nearest hundred
439 is round off to 400
334 is round off to 300
4.317 is round off to 4,300
Estimate sum = 400 + 300 + 4300 = 5,000
CLOSER ESTIMATE
Rounding off to nearest 10
439 is round off to 440
334 is round off to 330
4.317 is round off to 4,320
Estimate sum = 440 + 330 + 4,320 = 5,090
(b) 1,08,734 – 47,599
Sol: ROUGH ESTIMATE
Rounding off to nearest hundred
1,08,734 is round off to 1,08,700
47,599 is round off to 47,600
Estimate Difference = 1,08,700 – 47,600 = 61,100
CLOSER ESTIMATE
Rounding off to nearest ten
1,08,734 is round off to 1,08,730
47,599 is round off to 47,600
Estimate Difference = 1,08,730 – 47,600 = 61,130
(c) 8325 – 491
Sol: ROUGH ESTIMATE
Rounding off to nearest hundred
8,325 is round off to 8,300
491 is round off to 500
Estimate Difference = 8300 – 500 = 7800
CLOSER ESTIMATE
Rounding off to nearest ten
8,325 is round off to 8,330
491 is round off to 500
Estimate Difference = 8330 – 500 = 7830
(d) 4,89,348 – 48,365
Sol: ROUGH ESTIMATE
Rounding off to nearest hundred
4,89,348 is round off to 4,89,300
48,365 is round off to 48,400
Estimate Difference = 4,89,300 – 48,400 = 4,40,900
CLOSER ESTIMATE
Rounding off to nearest ten
4,89,348 is round off to 4,89,350
48,365 is round off to 48,370
Estimate Difference = 4,89,350 – 48,370 = 4,40,980
3. Estimate the following products using general rule:
(a) 578 × 161 (b) 5281 × 3491 (c) 1291 × 592 (d) 9250 × 29
Make four more such examples.
Sol: (a) 578 × 161
578 is round off to 600
161 is round off to 200
The estimated product = 600 * 200 = 1,20,000
(b) 5281 × 3491
Sol: 5281 round off to 5,000
3491 round off to 3,500
The estimated product = 5,000 * 3,500 = 1,75,00,000
(c) 1291 × 592
Sol: 1291 is round off to 1300
592 is round off 600
The estimated product = 1300 * 600 = 7,80,000
(d) 9250 × 29
Sol: 9,250 is round off 10,000
29 is round off to 30
The estimated product = 10,000 * 30 = 3,00,000
