Find the squares of the following numbers:

(5) 115

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Solution

The square of any number ending with 5 can be written as:
(a5)² = [a × (a + 1) × 100] + 25
Here, a is the number excluding the units digit.
So, the square of 115 can be calculated as:
[11 × (11 + 1) × 100] + 25
= [11 × 12 × 100] + 25
= 13200 + 25
= 13225

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115

Find the squares of; (i) 85; (ii) 115; (iii) 165.

\frac{- 3}{7}

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\frac{9}{- 83}

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5 \frac{1}{2}

\frac{5}{405}

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