Question

Using brackets solve $101\times 102$.

Answer 1

Simplification:

We have $101\times 102$

We can also write the above expression as

$$\begin{gathered} 101\times 102=(100+1)\times (100+2) \\ =100\times 100+100\times 2+1\times 100+1\times 2\left\{\text{Since}\left(a+b\right)\text{×}\left(c+d\right)\text{=a×c+a×d+b×c+b×d}\right\} \\ =10000+200+100+2 \\ =10302 \end{gathered}$$

Hence $101\times 102=10302$