Using identities find the value of $9.7 \times 10.3$.

Given:

The given expression is $9.7\times10.3$.

To do :

We have to evaluate the given expression using identity.

Solution :

$9.7$ can be written as $9.7=(10-0.3)$

$10.3$ can be written as $10.3=(10+0.3)$

We know that,

$(a+b) \times (a-b) = a^2-b^2$

Therefore,

$9.7\times10.3=(10-0.3)\times(10+0.3)$

$=(10)^2-(0.3)^2$

$=100-0.09$

$=99.91$

The value of $9.7 \times 10.3$ is $99.91$. 

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Updated on: 10-Oct-2022

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