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Answer:

Max's estimate of the difference is 400.

Step-by-step explanation:

Given : Max estimates 718 - 331 by rounding each number to the nearest 100.

To find :  What is  Max's estimate of the difference?

Solution :

Rounding each number to the nearest 100 means

1) If the tens place value is greater than or equal to 5 then the hundred place round by 1.

2) If the tens place value is less than 5 then the hundred place remain same.

Now, Estimate 718 by rounding number to nearest 100 is 700.

Estimate 331 by rounding number to nearest 100 is 300.

The difference of their estimation is 700-300=400.

Therefore, Max's estimate of the difference is 400.

Max has rounded off the difference of two numbers. Max's estimate of the difference is 400.

Given information:

The first number = 718.

The second number = 331

Now, according to the question, Max estimates their difference by taking the number rounded off.

Hence, the rounding off the given number to nearest 100,

we get,

First number as 700 and Second number as 300.

Hence the difference of the obtained number can be written as:

[tex]D=700-300\\D=400\\[/tex]

Hence, one can conclude that, max's estimate of the difference is 400.

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