
When you ask "What number is halfway between 34 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=34 and Y=825.

To find the number halfway between 34 and 825, we use the following formula:
(X + Y)/2 = Halfway Between
When we enter 34 and 825 into our formula, we get:
(34 + 825)/2 = 429.5
Thus, the number halfway between 34 and 825 is 429.5.
To check that our answer is correct, we subtract 34 from 429.5 and subtract 429.5 from 825 and compare the two numbers:
429.5 - 34 = 395.5
825 - 429.5 = 395.5
As you can see, the halfway number is 395.5 higher than 34 and 395.5 lower than 825. Therefore, our halfway between answer of 429.5 above is correct.
Halfway Between
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Halfway Between 34 and 826
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