Saturday, 7 July 2018

NCERT Solutions Math Std 6th Knowing Your Numbers Ex 1.3

Question 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

Answer 1:

(a) 730 round off to 700

998 round off to 1000

Estimated sum = 700 + 1000 = 1700

(b) 796 round off to 800

314 round off to 300

Estimated Difference = 800 - 300 = 500

(c) 12904 round off to 13000

2888 round off to 3000

Estimated sum = 13000 + 3000 = 16000

(d) 28292 round off to 28000

21496 round off to 21000

Estimated difference = 28000 - 21000 = 7000

Question 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 + 4317

(b) 1,08,737 – 47,599

(c) 8325 – 491

(d) 4,89,348 – 48,365

Answer 2:

(a) 439 round off to 400

334 round off to 300

4317 round off to 4300

Estimated sum = 400 + 300 + 4300 = 5000

(b) 108734 round off to 108700

47599 round off to 47600

Estimated difference = 108700 - 47600 = 61100

(c) 8325 round off to 8300

491 round off to 500

Estimated difference = 8300 - 500 = 7800

(d) 489348 round off to 489300

48365 round off to 48400

Estimated difference = 489300 - 48400 = 440900

Question 3:

Estimate the following products using general rule:

(a) 578 x 161

(b) 5281 x 3491

(c) 1291 x 592

(d) 9250 x 29

Answer 3:

(a) 578 x 161

578 round off to 600

161 round off to 200

The estimated product = 600 x 200 = 1,20,000

(b) 5281 x 3491

5281 round of to 5,000

3491 round off to 3,500

The estimated product = 5,000 x 3,500 = 1,75,00,000

(c) 1291 x 592

1291 round off to 1300

592 round off to 600

The estimated product = 1300 x 600 = 7,80,000

(d) 9250 x 29

9250 round off to 10,000

229 round off to 30

The estimated product = 10,000 x 30 = 3,00,000

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