Question

Estimate the following product :$87\times 313$

Answer 1

Given product is $87\times 313$

For rounding off to nearest hundreds,we first check the digit at ten's place.If the digit at ten's place is less than $5$ then we replace its ten's and one's place by zero but if the digit at ten's place is $\ge 5$ then we add $1$ to hundred's place digit and then replace ten's place and one's place by zero.

For rounding off to nearest tens,we first check the digit at one's place.If the digit at one's place is less than $5$ then we replace it by zero but the digit at one's place is $\ge 5$ then we add $1$ to ten's place digit and replace one's place by zero.

$\begin{array}{rcl}87& \to & 90(nearesttens)\\ 313& \to & 300(nearesthundreds)\\ So,87\times 313& =& 90\times 300\\ & =& 27000\end{array}$

Hence, Estimation of the following product :$87\times 313$ is $27000$.