Using the identities of algebric expressions, Find the value of ${(4.9)}^{2}$ .

24.0

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25

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24

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24.25

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Solution

The correct option is A $24.0$
${(4.9)}^{2}$
$= {(5.0 - 0.1)}^{2}$
$= {(5)}^{2} + {(0.1)}^{2} - 2 (5) (0.1)$
$= 25 + 0.01 - 1$
$= 24.01$

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