What is 524 divided by 9 using estimation?

Answer 1

58.2222

Answer 2

524 would become 520 and 9 would become 10. 520 divided by ten is 52.

* * * * *

The above answer is more than 10% away from the true value. 524/9 = 58.22... recurring.

Alternative answer with a bit more work but a much greater accuracy

524 = 540 - 16 = 540 - (18 - 2) = 540 - 18 + 2

That is, 524 = 540 - 18 + a small number.

Then 524/9 = 540/9 - 18/9 + a small fraction

= 60 - 2 + a small fraction

= 58 + a small fraction.

an answer that is less than half a percent in error!