Question

Which of the following options shows distributive property of multiplication over addition?

• A. $4+(5+8)=(4+5)\times (4+8)$
• B. $4\times (5+8)=(4\times 5)+(4\times 8)$
• C. $4\times (5+8)=(4\times 5)\times 8$
• D. $(8+5)+4=8+(5+4)$

Answer 1

The correct option is B

$4\times (5+8)=(4\times 5)+(4\times 8)$

According to the distributive property of multiplication over addition:

$\mathrm{a}\times (\mathrm{b}+\mathrm{c})=(\mathrm{a}\times \mathrm{b})+(\mathrm{a}\times \mathrm{c})$

$\therefore$$4\times (5+8)=(4\times 5)+(4\times 8)$

Hence, option B is correct.