
When you ask "What number is halfway between 67 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=67 and Y=680.

To find the number halfway between 67 and 680, we use the following formula:
(X + Y)/2 = Halfway Between
When we enter 67 and 680 into our formula, we get:
(67 + 680)/2 = 373.5
Thus, the number halfway between 67 and 680 is 373.5.
To check that our answer is correct, we subtract 67 from 373.5 and subtract 373.5 from 680 and compare the two numbers:
373.5 - 67 = 306.5
680 - 373.5 = 306.5
As you can see, the halfway number is 306.5 higher than 67 and 306.5 lower than 680. Therefore, our halfway between answer of 373.5 above is correct.
Halfway Between
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