Question

Using the brackets solve $110\times 51$.

Answer 1

Simplification:

We have $110\times 51$

We can also write the above expression as

$\begin{array}{rcl}110\times 51& =& (100+10)\times (50+1)\\ & =& 100\times 50+100\times 1+10\times 50+10\times 1\left\{\text{Since}\left(a+b\right)\text{×}\left(c+d\right)\text{=a×c+a×d+b×c+b×d}\right\}\\ & =& 5000+100+500+10\\ & =& 5610\end{array}$

Hence $110\times 51=5610$