Question

$49\times 98=49\times \_\_\_\_\_\_\_\_\_\_\_\_-2\times 49.$

Answer 1

Find the missing term:

By distribution multiplication over subtraction :

$$\begin{gathered} a\times (b-c)=\left(a\times b\right)-\left(a\times c\right) \\ \Rightarrow 49\times 98=49\times (100-2)=\left(49\times 100\right)-\left(2\times 49\right) \end{gathered}$$

Hence, the missing term is $100$.