
When you ask "What number is halfway between 97 and 828?" we assume you mean the number in the exact middle of the two numbers on a number line, as illustrated below, where X=97 and Y=828.

To find the number halfway between 97 and 828, we use the following formula:
(X + Y)/2 = Halfway Between
When we enter 97 and 828 into our formula, we get:
(97 + 828)/2 = 462.5
Thus, the number halfway between 97 and 828 is 462.5.
To check that our answer is correct, we subtract 97 from 462.5 and subtract 462.5 from 828 and compare the two numbers:
462.5 - 97 = 365.5
828 - 462.5 = 365.5
As you can see, the halfway number is 365.5 higher than 97 and 365.5 lower than 828. Therefore, our halfway between answer of 462.5 above is correct.
Halfway Between
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Halfway Between 97 and 829
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