Haryana State Board HBSE 6th Class Maths Solutions Chapter 1 Knowing Our Numbers Ex 1.3 Textbook Exercise Questions and Answers.

## Haryana Board 6th Class Maths Solutions Chapter 1 Knowing Our Numbers Exercise 1.3

Question 1.

Estimate :

(a) 730 + 998

(b) 796-314

(c) 12,904 + 2,888

(d) 28,292 – 21,496.

Solution:

(a) We find 998 > 730.

Round off to hundreds

Actual answer = 730 + 998 = 1728

1728 is rounded to 1700.

(b) To begin with, we round off to hundreds

Actual answer = 796 – 314 = 482

482 is rounded to 500.

(c) We find 12,904 > 2,888

Round off to thousands

12,904 is rounded to 13,000

+2,888 is rounded to 3,000

∴ Estimated sum = 16,000

Actual answer = 12,904 + 2,888 = 15,792

(d) To begin with, we round off to thousands

28,292 is rounded to 28,000

-21,496 is rouned to 21,000

∴ Estimated difference = 7,000

Actual answer = 28,292 – 21496

= 6,796

Question 2.

Give a rough estimate (by round 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) 8,325 – 491

(d) 4,89,348 – 48,365.

Make four more of such examples.

Solution:

To begin with, we round off to thousands.

439 rounds to 0

334 rounds to 0

and 4,317 rounds to 4,000

Rough estimated sum= 0 + 0 + 4,000

= 4,000

This is not a reasonable estimate.

Actual sum = 439 + 334 + 4,317 = 5,090.

To get a closer estimate, let us try rounding off each number to hundreds.

(b) To begin with, we round off to ten thousands.

Actual difference = 1,08,734 – 47,599 = 61135

To get a closer estimate, let us try rounding off each number to hundreds.

(c) To begin with, we round off to hundreds

Actual difference = 8,325 – 491 = 7,834

To get a closer estimate let us try rounding off each number to tens.

This is a better and more meaningful estimate.

(d) To begin with, we round off to ten thousands

Actual difference = 4,89,348 – 48,365

= 4,40,983

To get a closer estimate, let us try rounding off each number to thousands.