Estimate the following result:

$6893-789$.

Step 1. Rounding off the numbers to the nearest hundred.

• As $6893$ lies between $6800$ and $6900$

Since $6893$ is nearest to $6900$ than to $6800$.

Therefore $6893$ rounded off to the nearest hundred as $6900$.

• Also $789$ lies between $700$ and $800$

Since $789$ is nearest to $800$ than to $700$.

Therefore $789$ rounded off to the nearest hundred as $800$.

Step 2.Simplify

$6900-800=6100$

Hence estimate value of $6893-789$ is $6100$