Question

Verify whether the following statements are true or false with the help of an example.

Multiplication is distributive over addition.

• A. True
• B. False

Answer 1

The correct option is A True

The distributive property of multiplication over addition states that - $a\times (b+c)=(a\times b)+(a\times c)$

For verifying this let's take three numbers$2,5and3$

By the property -$2\times (5+3)=(2\times 5)+(2\times 3)$

$$\begin{gathered} L.H.S=2\times (5+3) \\ =2\times 8 \\ =16 \end{gathered}$$

$$\begin{gathered} R.H.S=(2\times 5)+(2\times 3) \\ =10+6 \\ =16 \end{gathered}$$

$L.H.S=R.H.S$

Hence the given statement is true.