Question

10.3×9.7 evaluate the following with using identities

Answer 1

10.3×9.7
(10+0.3)×(10-0.3)
(a+b)×(a-b)=a^2-b^2
10^2-0.3^2
100-0.09
99.91
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Answer 2

10.3 × 9.7 = 99.91

Given :

10.3 × 9.7

To find :

The value of the expression using identities

Formula :

a² - b² = ( a + b ) ( a - b )

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is 10.3 × 9.7

Step 2 of 2 :

Find the value of the expression

$\sf 10.3 \times 9.7$

$\sf = (10 + 0.3) \times (10 - 0.3)$

$\sf = {10}^{2} - {(0.3)}^{2}$

$\sf = 100 - 0.09$

$\sf = 99.91$