Question

Evaluate by rounding off to nearest hundred
$12904 + 2888$

Answer 1

Hint: To estimate any number nearest to hundred that means that if we have $152$ then its nearest hundred will be $200$ because it is the nearest hundred to $152$. Similarly find the nearest hundred to $12904$ and $2888$ and add them.

Complete step-by-step answer:
Here we are given the sum of two numbers which we need to estimate by rounding off to the nearest hundred. That means if we are given the number $88$ then its nearest hundred will be $100$ and if we are given the number $1155$ then its nearest hundred will be $1200$.
Now we are given two numbers which are in summation. So we can find the nearest hundred to each number like we are given $12904$and$2888$. So we firstly find the nearest hundred to$12904$. So as $904$ is in the hundredth place so the nearest hundred will be$900$. So the nearest hundred to $12904$ is$12900$.
Now we need to find the nearest hundred to$2888$. Here $888$ is in the hundredth place and nearest hundred to it is $900$ so the nearest hundred to $2888$ is$2900$.
Now we need to find the estimate value of the $12904 + 2888$ to nearest hundred
So as we have calculated that the nearest hundred to $12904$ is $12900$ and nearest hundred to $2888$ is $2900$.
So when we add them we get
$
   = 12900 + 2900 \\
   = 15800 \\
 $

So the estimation of the nearest value of $12904 + 2888$ is $15800$

Note: For rounding off in the nearest hundred for example if we take the number greater than $50$ but less than $100$ then its nearest hundred will be $100$
If N is any number then
If $0 < N < 50$ then the nearest hundred is $0$
If $0 \leqslant N < 100$ then the nearest hundred is $100$
If $100 < N < 150$ then the nearest hundred is $100$