Question

Multiplication is distributive over addition for whole numbers.

• A. True
• B. False

Answer 1

The correct option is A True

Know that the distributive property is given as $a\times (b+c)=(a\times b)+(a\times c)$.

For example,$a=8,b=5\text{\hspace{0.17em}and\hspace{0.17em}}c=2$

Apply distributive property,

$8\times (5+2)=(8\times 5)+(8\times 2)$

Solve LHS:

$\begin{array}{l}8\times (5+2)\\ =8\times 7\\ =56\end{array}$

Solve RHS:

$\begin{array}{l}(8\times 5)+(8\times 2)\\ =40+16\\ =56\end{array}$

Since, LHS is equal to RHS the given statement is true.

Hence,multiplication is distributive over addition for whole numbers is a true statement.