NCERT Class 8 Mathematics Solutions: Chapter 6 – Squares and Square Roots Exercise 6.1 Part 1

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Square of given number and squares of the unit’s place digit of given number

Understanding Squares and Square Roots

Square of given number and squares of the unit’s place digit of given number

Question: 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

Answer:

Here, the squares of the any numbers unit digit are the squares of the unit’s place digit of given number.

(i) 81

Unit’s place digit

Square of Unit digit

Hence, square of 81 unit digit is 1.

(ii) 272

Unit’s place digit

Square of Unit digit

Hence, square of 272 unit digit is 4.

(iii) 799

Unit’s place digit

Square of Unit digit

Hence, square of 799 unit digit is 1.

(iv) 3853

Unit’s place digit

Square of Unit digit

Hence, square of 3853 unit digit is 9.

(v) 1234

Unit’s place digit

Square of Unit digit

Hence, square of 1234 unit digit is 6.

(vi) 26387

Unit’s place digit

Square of Unit digit

Hence, square of 26387 unit digit is 9.

(vii) 52698

Unit’s place digit

Square of Unit digit

Hence, square of 52698 unit digit is 4.

(viii) 99880

Unit’s place digit

Square of Unit digit

Hence, square of 99880 unit digit is 0.

(ix) 12796

Unit’s place digit

Square of Unit digit

Hence, square of 12796 unit digit is 6.

(x) 55555

Unit’s place digit

Square of Unit digit

Hence, square of 55555 unit digit is 5.