Question

Estimate $8729+8387$ by rounding to the nearest thousand and choose the closest estimation.

• A. $17000$
• B. $100000$
• C. $15000$

Answer 1

The correct option is A $17000$

To make an estimation of the resultant, we will first round off the numbers.

Since we have to round off the numbers to the nearest thousand, we need to look at the hundreds place. In 8729, hundreds place digit i.e. 7 is greater than 5 so, it can be rounded up to 9000.
$8729$ is closer to $9000$ than $8000$ as observed in the number line.

Similary, $8387$ can be rounded down to $8000$ because it is more close to $8000$ than $9000$.



Now adding the rounded off numbers we get $9000+8000=17000$

So we can say $8729+8387\approx 17000$ which is a good estimation.

Now let us check with the original sum,
$8729+8387=17116$ which is very close to our estimated answer.