Question

Solve it using distributive property.

$45\times 102$

Answer 1

Solve using distributive property:

$45\times 102$

We can write $102$ as $(100+2)$

Now, Using Distributive property of Multiplication over Addition

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

$=45\times$$(100+2)$ $($ Distributive property of Multiplication over Addition )

$=45\times 100+45\times 2$

$$\begin{gathered} =4500+90 \\ =4590 \end{gathered}$$

Hence, the result is $4590$.