Question

Solve $1005\times 231$ using suitable property. Also, name the property.

Answer 1

Finding the value of $1005\times 231$:

By using commutative property for multiplication,

$\text{a×b=b×a}$, we get

$1005\times 231=231\times 1005$, then

By using distributive property for addition,

$\text{a×b+a×c=a×(b+c)}$, we get

$\begin{array}{rcl}231\times 1005& =& 231\times (1000+5)\\ & =& 231\times 1000+231\times 5\\ & =& 231000+1155\\ & =& 232155\end{array}$

Hence, the answer is $232155$