Question

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

Multiplicative is distributive over subtraction

• A. True
• B. False

Answer 1

The correct option is A True

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

Let's take any three numbers $2,5and3$ as $a,bandc$

To verify the property take

$LHS$$=2\times (5-3)$

$=2\times 2=4$

$$\begin{gathered} RHS=(2\times 5)-(2\times 3) \\ =10-6 \\ =4 \end{gathered}$$

$LHS=RHS$

Hence, the given statement is true.