
When you ask "What number is halfway between 37 and 960?" we assume you mean the number in the exact middle of the two numbers on a number line, as illustrated below, where X=37 and Y=960.

To find the number halfway between 37 and 960, we use the following formula:
(X + Y)/2 = Halfway Between
When we enter 37 and 960 into our formula, we get:
(37 + 960)/2 = 498.5
Thus, the number halfway between 37 and 960 is 498.5.
To check that our answer is correct, we subtract 37 from 498.5 and subtract 498.5 from 960 and compare the two numbers:
498.5 - 37 = 461.5
960 - 498.5 = 461.5
As you can see, the halfway number is 461.5 higher than 37 and 461.5 lower than 960. Therefore, our halfway between answer of 498.5 above is correct.
Halfway Between
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Halfway Between 37 and 961
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