
When you ask "What number is halfway between 35 and 829?" we assume you mean the number in the exact middle of the two numbers on a number line, as illustrated below, where X=35 and Y=829.

To find the number halfway between 35 and 829, we use the following formula:
(X + Y)/2 = Halfway Between
When we enter 35 and 829 into our formula, we get:
(35 + 829)/2 = 432
Thus, the number halfway between 35 and 829 is 432.
To check that our answer is correct, we subtract 35 from 432 and subtract 432 from 829 and compare the two numbers:
432 - 35 = 397
829 - 432 = 397
As you can see, the halfway number is 397 higher than 35 and 397 lower than 829. Therefore, our halfway between answer of 432 above is correct.
Halfway Between
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Halfway Between 35 and 830
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