When you ask "What number is halfway between 3 and 420?" we assume you mean the number in the exact middle of the two numbers on a number line, as illustrated below, where X=3 and Y=420.
To find the number halfway between 3 and 420, we use the following formula:
(X + Y)/2 = Halfway Between
When we enter 3 and 420 into our formula, we get:
(3 + 420)/2 = 211.5
Thus, the number halfway between 3 and 420 is 211.5.
To check that our answer is correct, we subtract 3 from 211.5 and subtract 211.5 from 420 and compare the two numbers:
211.5 - 3 = 208.5
420 - 211.5 = 208.5
As you can see, the halfway number is 208.5 higher than 3 and 208.5 lower than 420. Therefore, our halfway between answer of 211.5 above is correct.
Halfway Between
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Halfway Between 3 and 421
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