Question

Which choice best shows the distributive property of multiplication.

• A. $(8\times 6)\times 1=8\times (6\times 1)$
• B. $8\times 1=8$
• C. $(8\times 6)+(8\times 1)=8\times (6+1)$
• D. $8\times 6=6\times 8$

Answer 1

Answer: (C)

$(8\times 6)+(8\times 1)=8\times (6+1)$

Option C consists of multiple way of obtaining the same solution.

Distributive property is defined on the basis of the same principle applied in Option C

LHS= $(8\times 6)+(8\times 1)$ = $48+8=56$

while

RHS= $8\times (6+1)$ = $8\times 7$ = $56$