
When you ask "What number is halfway between 46 and 821?" we assume you mean the number in the exact middle of the two numbers on a number line, as illustrated below, where X=46 and Y=821.

To find the number halfway between 46 and 821, we use the following formula:
(X + Y)/2 = Halfway Between
When we enter 46 and 821 into our formula, we get:
(46 + 821)/2 = 433.5
Thus, the number halfway between 46 and 821 is 433.5.
To check that our answer is correct, we subtract 46 from 433.5 and subtract 433.5 from 821 and compare the two numbers:
433.5 - 46 = 387.5
821 - 433.5 = 387.5
As you can see, the halfway number is 387.5 higher than 46 and 387.5 lower than 821. Therefore, our halfway between answer of 433.5 above is correct.
Halfway Between
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Halfway Between 46 and 822
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