When you ask "What number is halfway between 100 and 825?" 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=825.
To find the number halfway between 100 and 825, we use the following formula:
(X + Y)/2 = Halfway Between
When we enter 100 and 825 into our formula, we get:
(100 + 825)/2 = 462.5
Thus, the number halfway between 100 and 825 is 462.5.
To check that our answer is correct, we subtract 100 from 462.5 and subtract 462.5 from 825 and compare the two numbers:
462.5 - 100 = 362.5
825 - 462.5 = 362.5
As you can see, the halfway number is 362.5 higher than 100 and 362.5 lower than 825. Therefore, our halfway between answer of 462.5 above is correct.
Halfway Between
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Halfway Between 100 and 826
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