Question

a) Find the value by using suitable identity : 9 ¼ x 15 ¾ ​

Answer 1

SOLUTION

TO DETERMINE

The value of below expression using suitable identity

$\displaystyle \sf{9 \frac{1}{4} \times 15 \frac{3}{4} }$

FORMULA TO BE IMPLEMENTED

We are aware of the identity that

a² - b² = ( a + b) ( a - b)

EVALUATION

Here the given expression is

$\displaystyle \sf{9 \frac{1}{4} \times 15 \frac{3}{4} }$

$\displaystyle \sf{ = 15 \frac{3}{4} \times 9 \frac{1}{4} }$

$\displaystyle \sf{ = 15.75 \times 9.25 }$

$\displaystyle \sf{ = (12.50 + 3.25) \times (12.50 - 3.25) }$

$\displaystyle \sf{ = {(12.50)}^{2} - {(3.25)}^{2} }$

$\displaystyle \sf{ = 156.25 - 10.5625}$

$\displaystyle \sf{ = 145.6875 }$

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