Question

Find the following product using the suitable property :

$896\times 1009$.

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 :

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

Let us find the value of the given expression :

$896\times 1009=896\times (1000+9)$ (on applying distributive property of multiplication over addition)

$=896\times 1000+896\times 9$

$$\begin{gathered} =896000+8064 \\ =904064 \end{gathered}$$

Hence, the required product is $904064$.