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Using identities, evaluate 1.05 × 9.5

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Question

Using identities, evaluate 1.05 × 9.5

Evaluate
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Solution

1.05 × 9.5

`= 105/100 xx 95/10`

`= (105xx95)/1000`

Apply Identity (a + b) (a – b) = a2 – b2

105 × 95 = (100 + 5) (100 – 5)
`= (100)^2 - (5)^2`
= 1000 – 25
= 9975
`1.05 xx9.5```
`=9975/1000```
= 9.975
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