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Find the product by using distributive property : $1009 \times1392$
Given :
The given term is $1009 \times1392$.
To find :
We have o find the value of $1009 \times1392$ by Distributive property.
Solution :
Distributive property of multiplication over addition:
$a\times (b+c) = a\times b + a\times c$
1009 can be written as $1000+9$.
Therefore,
$1009 \times1392 = (1000+9) \times 1392$
$= 1000\times1392 + 9\times1392$
$= 1392000 +(10-1) \times 1392$
$=1392000+10\times1392-1\times1392$
$= 1392000+13920-1392$
$= 1404528$
So, the value of $1009 \times1392$ is $1404528$
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