
When you ask "What number is halfway between 84 and 972?" we assume you mean the number in the exact middle of the two numbers on a number line, as illustrated below, where X=84 and Y=972.

To find the number halfway between 84 and 972, we use the following formula:
(X + Y)/2 = Halfway Between
When we enter 84 and 972 into our formula, we get:
(84 + 972)/2 = 528
Thus, the number halfway between 84 and 972 is 528.
To check that our answer is correct, we subtract 84 from 528 and subtract 528 from 972 and compare the two numbers:
528 - 84 = 444
972 - 528 = 444
As you can see, the halfway number is 444 higher than 84 and 444 lower than 972. Therefore, our halfway between answer of 528 above is correct.
Halfway Between
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Halfway Between 84 and 973
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