
When you ask "What number is halfway between 40 and 419?" we assume you mean the number in the exact middle of the two numbers on a number line, as illustrated below, where X=40 and Y=419.

To find the number halfway between 40 and 419, we use the following formula:
(X + Y)/2 = Halfway Between
When we enter 40 and 419 into our formula, we get:
(40 + 419)/2 = 229.5
Thus, the number halfway between 40 and 419 is 229.5.
To check that our answer is correct, we subtract 40 from 229.5 and subtract 229.5 from 419 and compare the two numbers:
229.5 - 40 = 189.5
419 - 229.5 = 189.5
As you can see, the halfway number is 189.5 higher than 40 and 189.5 lower than 419. Therefore, our halfway between answer of 229.5 above is correct.
Halfway Between
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Halfway Between 40 and 420
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