
When you ask "What number is halfway between 100 and 513?" we assume you mean the number in the exact middle of the two numbers on a number line, as illustrated below, where X=100 and Y=513.

To find the number halfway between 100 and 513, we use the following formula:
(X + Y)/2 = Halfway Between
When we enter 100 and 513 into our formula, we get:
(100 + 513)/2 = 306.5
Thus, the number halfway between 100 and 513 is 306.5.
To check that our answer is correct, we subtract 100 from 306.5 and subtract 306.5 from 513 and compare the two numbers:
306.5 - 100 = 206.5
513 - 306.5 = 206.5
As you can see, the halfway number is 206.5 higher than 100 and 206.5 lower than 513. Therefore, our halfway between answer of 306.5 above is correct.
Halfway Between
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Halfway Between 100 and 514
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