Question

What will be the units digit of the squares of the following numbers?
(i) 52 (ii) 977
(iii) 4583 (iv) 78367
(v) 52698 (vi) 99880
(vii) 12796 (viii) 55555
(ix) 53924

Answer 1

(i) Square of 52 will be 2704 or $(2{)}^2=4$
$\therefore$ Its units digit is 4.

(ii) Square of 977 will be 954529 or $(7{)}^2$= 49
$\therefore$ Its units digit is 9.

(iii) Square of 4583 will be 21003889 or $(2{)}^2$= 4
$\therefore$ Its units digit is 4.

(iv) Is 78367, square of 7= $7^2$=49
$\therefore$ Its units digit is 9.

(v) In 52698 , square of 8= $8^2$=64
$\therefore$ Its units digit is 4.

(vi) In 99880 , square of 0= $0^2$=0
$\therefore$ Its units digit is 0.

(vii) In 12796 , square of 6= $6^2$=36
$\therefore$ Its units digit is 6.

(viii) In 55555 , square of 5= $5^2$=25
$\therefore$ Its units digit is 5.

(ix) In 53924 , square of 4= $4^2$=16
$\therefore$ Its units digit is 6.