Question

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

$35\times 166+35\times 134$.

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 :

$35\times 166+35\times 134=35\times (166+134)$

$$\begin{gathered} =35\times 300 \\ =10500 \end{gathered}$$

Hence, the required value is $10500$.