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Find the value of following by distributive property :
$168 \times 102$
Given :
$168 \times 102$ is the given expression.
To find :
We have to find the value of the given expression by distributive property.
Solution :
102 can be written as $102 = 100+2$
The distributive property of multiplication states that when a factor is multiplied by the sum or difference of two terms, it is essential to multiply each of the two numbers by the factor, and finally perform the addition or subtraction operation.
This property is symbolically stated as:
$a (b+ c) = a\times b + a\times c$
Therefore,
$168 \times 102 = 168 \times (100+2)$
$= 168 \times 100 + 168 \times 2$
$= 16800 + 336$
$= 17136$.
The value of $168 \times 102$ is $17136$
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