Observe the following pattern and find the missing digits

NCERT - Mathematics

Book: NCERT - Mathematics

Chapter: 6. Squares and Square Roots

Subject: Maths - Class 8^th

Q. No. 4 of Exercises 6.1

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4

Observe the following pattern and find the missing digits

According to this given pattern, we can observe that the squares of the given numbers have the same number of zeroes before and after the digit 2 as it was in the original number.

Hence,

100001² = 10000200001

10000001² = 100000020000001

7

Chapter Exercises

Exercises 6.1

Exercises 6.2

Exercises 6.3

Exercises 6.4

1

What will be the unit digit of the squares of the following numbers?
(i) 81 (ii) 272

(iii) 799 (iv) 3853

(v) 1234 (vi) 26387

(vii) 52698 (viii) 99880

(ix) 12796 (x) 55555

2

The following numbers are obviously not perfect squares. Give reason
(i) 1057 (ii) 23453

(iii) 7928 (iv) 222222

(v) 64000 (vi) 89722

(vii) 222000 (viii) 505050

3

The squares of which of the following would be odd numbers?
(i) 431 (ii) 2826

(iii) 7779 (iv) 82004

4

Observe the following pattern and find the missing digits

5

Observe the following pattern and supply the missing numbers

6

Using the given pattern, find the missing numbers

7

Without adding, find the sum
(i) 1 + 3 + 5 + 7 + 9
(ii) 1 + 3 + 5 + 7 + 9 + I1 + 13 + 15 + 17 +19
(iii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23

8

Express 49 as the sum of 7 odd numbers.

8

Express 121 as the sum of 11 odd numbers

9

How many numbers lie between squares of the following numbers?
(i) 12 and 13

(ii) 25 and 26

(iii) 99 and 100