Question

$23\times (-99)=\_\_\_\times (-100+\_\_\_)=23\times \_\_\_+23\_\_\_$. Fill in the blanks to make the statement true.

• A. $23,1$
• B. $-100,1$

Answer 1

Explanation.

Use the distributive property

$x\times (y-z)=x\times y-x\times z$

So,

$$\begin{gathered} 23\times (–99)=23\times (–100+1) \\ =23\times (-100)+23\times 1 \end{gathered}$$

Hence, $23\times (–99)=23\times (–100+1)=23\times (-100)+23\times 1$.