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John stated that when you add an even and an odd integer the answer will be odd. Use these numbers to answer the questions: –13, –8, 16, 23, –7

Is John’s statement always true, sometimes true, or always false? Write two equations to support your answer.

so an even number is represented as 2n where n= a whole number
an odd is 1 more than an even so 2n+1 is odd

so even+odd=2n+2n+1=4n+1=
we see 2 2n's in there which are even
(even)+(even)+1
we know that even+even=even try that withe any 2 even numbers
then +1 means it's odd so therefor it is always true

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bookishfairy73 bookishfairy73 · Answer 2 · 2016-01-20T00:44:11+01:00

bookishfairy73 bookishfairy73

20-01-2016

Try adding some of these together to look for the pattern:

-13 +16 = 3 odd+even = odd

-7 + 16 = 9

how about -13 + -7 = -20

-8 + 16 = 8

It looks like

even + even = even
odd + odd = even

even + odd = odd

So, we only get an odd result in this case. It seems that it is always true.

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