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Well, an easy way to figure this out is divide 360 by 4 to get 90, then subtract 3 from 90 to get 87, then subtract 1 from 90 to get 89, then add 1 to 90 to get 91, then add 3 to 90 to get 93. So, the consecutive odd integers that add up to 360 are: 87, 89, 91, and 93, and to check, 87+89+91+93=360. :)
The numbers are 18 and 20.
Try it! Find the square of some integers, until you either (a) find one that gives exactly 360 when squared, or (b) find two consecutive integers, one of which is smaller, the other larger, than 360. You can also take your calculator and find the square root of 360. If it is an integer (no decimals), that means it is a square number.
Rational. 360 is an integer, and all integers are rational.
No four consecutive whole numbers have a sum of 360. 88 + 89 + 90 + 91 = 358 . . . too small 89 + 90 + 91 + 92 = 362 . . . too big