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Evaluate each of the following using identities:
$(0.98)^2$
Given:
$(0.98)^2$
To do:
We have to evaluate the given expression using a suitable identity.
Solution:
We know that,
$(a+b)^2=a^2+b^2+2ab$
$(a-b)^2=a^2+b^2-2ab$
$(a+b)(a-b)=a^2-b^2$
Therefore,
$(0.98)^{2}=(1-0.02)^{2}$
$=(1)^{2}-2 \times 1 \times 0.02+(0.02)^{2}$
$=1-0.04+0.0004$
$= 1.0004-0.04$
$=1.0004-0.0400$
$=0.9604$
Hence, $(0.98)^{2}=0.9604$.
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