Question

25 $\times$ 6 + 25 $\times$ 2

• A. 25 × (6 + 2)
• B. 25 + (6×2)
• C. (25 × 6)+ 2
• D. (25 × 2) +6

Answer 1

The correct option is A 25 × (6 + 2)

The distributive property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products together.

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

$\Rightarrow$ 25 $\times$ 6 + 25 $\times$ 2 = 25 $\times$ (6 + 2)

Here 25 $\times$ 6 + 25 $\times$ 2 = 150 + 50 = 200
and 25 $\times$ (6 + 2) = 25 $\times$ 8 = 200

Hence it is verified.