Question

Using brackets solve $135\times 98$ .

Answer 1

Simplification:

We have $135\times 98$

We can also write the above expression as

$$\begin{gathered} 135\times 98=(100+30+5)\times (100-2) \\ =100\times 100-100\times 2+30\times 100-30\times 2+5\times 100-5\times 2\left\{\text{Since}\left(a+b\right)\text{×}\left(c+d\right)\text{=a×c+a×d+b×c+b×d}\right\} \\ =10000-200+3000-60+500-10 \\ =10000+3000+500-200-60-10 \\ =13500-270 \\ =13230 \end{gathered}$$

Hence $135\times 98=13230$