Question

Max estimates 718 - 331 by rounding each number to the nearest 100. What is

Max's estimate of the difference

Answer 1

400

Explanation:

Given

718 - 331

Required

Estimate the difference

To estimate the difference of the above expression, we simply subtract.

But the condition in the question says, each number is rounded to the nearest 100.

So, the first step is to round each number

Rounding 718.

Digit 7 stands as the 100 value, so our rounding digit is the next digit to 7 which is 1.

The rule of approximation is that, if the rounding digit is between 0 and 4, the it'll be approximated to 0, else it'll be approximated to 1 and added to the standing digit.

So, 718 becomes approximated to 700

Similarly, 331 gets approximated to 300

718 - 311 becomes

700 - 300 = 400

Hence Max's estimate of the difference is 400