
When you ask "What number is halfway between 45 and 680?" we assume you mean the number in the exact middle of the two numbers on a number line, as illustrated below, where X=45 and Y=680.

To find the number halfway between 45 and 680, we use the following formula:
(X + Y)/2 = Halfway Between
When we enter 45 and 680 into our formula, we get:
(45 + 680)/2 = 362.5
Thus, the number halfway between 45 and 680 is 362.5.
To check that our answer is correct, we subtract 45 from 362.5 and subtract 362.5 from 680 and compare the two numbers:
362.5 - 45 = 317.5
680 - 362.5 = 317.5
As you can see, the halfway number is 317.5 higher than 45 and 317.5 lower than 680. Therefore, our halfway between answer of 362.5 above is correct.
Halfway Between
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