Question

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

$164\times 999+164$.

Answer 1

Finding the value of $164\times 999+164$ :

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 :

$164\times 999+164=164\times 999+164\times 1$

$$\begin{gathered} =164\times (999+1) \\ =164\times 1000 \\ =164000 \end{gathered}$$

Hence, the required value is $164000$.