Question

Find the squares of:

(i) 88
(ii) 8.8
(iii) 0.88
(iv) 880
(v) −55
(vi) −5.5
(vii) −0.55
(viii) 312
(ix) $\frac{32}{41}$

(x) $2\frac{5}{6}$

Answer 1

(i) Square of 88 = (88)²
= 88 × 88 = 7744

(ii) Square of 8.8 = (8.8)²
= 8.8 × 8.8 = 77.44

(iii) Square of 0.88 = (0.88)²
= 0.88 × 0.88 = 0.7744

(iv) Square of 880 = (880)²
= 880 × 880 = 774400

(v) Square of (−55) = (−55)²
= (−55) × (−55)
= 3025 (Square of a negative number is always positive)

(vi) Square of (−5.5) = (−5.5)²
= (−5.5) × (−5.5)
= 30.25 (Square of a negative number is always positive)

(vii) Square of (−0.55) = (−0.55)²
= (−0.55) × (−0.55)
= 0.3025 (Square of a negative number is always positive)

(viii) Square of 312 = (312)²
= 312 × 312 = 97344

(ix) Square of = $\left(\frac{32}{41}\right)={\left(\frac{32}{41}\right)}^2$
$$\begin{gathered} =\frac{32}{41}\times \frac{32}{41} \\ =\frac{1024}{1681} \end{gathered}$$

(x) Square of $2\frac{5}{6}$ = Square of $\frac{17}{6}={\left(\frac{17}{6}\right)}^2$
$$\begin{gathered} =\frac{17}{6}\times \frac{17}{6} \\ =\frac{289}{36} \end{gathered}$$