Question

Find the value of the following using various properties of the whole numbers :

$65\times 75+35\times 75$.

Answer 1

As per the distributive property of multiplication over addition of the whole numbers, if $a,b$ and $c$ are any three whole numbers, then :

$a\times (b+c)=a\times b+a\times c$.

So, using the distributive property of multiplication over addition of the whole numbers, let us find the value of the given expression :

$65\times 75+35\times 75=(65+35)\times 75$

$$\begin{gathered} =100\times 75 \\ =7500 \end{gathered}$$

Hence, the required value is $7500$.