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If you add an even number plus and even number is it possible to get an odd number?
Wiki User
∙ 13y ago
No.
This can be shown by the following proof.
For any even number it can be written as 2k where k is some integer (a countable number). e.g. 4 = 2k where k = 2.
Thus the sum of any even number can be represented as
2k + 2l = 2(k+l)
Now if we let m = (k + l) than m is also an integer. This gives us,
2k + 2l = 2m
And as I said earlier and even number can be written as 2k and the final sum is in that form therefore it must be even.
The same proofs can be constructed for even+odd, and odd+odd by using 2k+1 for the odd number respectively.
Comment: 2 is an odd number 2/2 2/1 so it is an odd number see where im going with this? 2+4=6 :D I came up with ths btw.
Wiki User
∙ 13y ago
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Why is the sum of an odd or even number odd or even?
The sum of an odd and even number is always odd because there's always one left over. Think of any odd number as being any even number plus one. If you add two even numbers, the answer is always even. If you add an even and an odd (plus one), the answer is always odd.
Why is the sum of an odd and even number odd?
The sum of an odd and even number is always odd because there's always one left over. Think of any odd number as being any even number plus one. If you add two even numbers, the answer is always even. If you add an even and an odd (plus one), the answer is always odd.
What do you get when you add an even number and an odd number?
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Even plus odd is odd.
Can you add 2 odd numbers that equal an odd number?
no, b/c you can think of an odd number as an even number plus one. So if you add two odd numbers, you would be adding 2 even numbers plus 2... Let # be even... (#+1) + (#+1) = (#+#) + 2 two even numbers added together are always even
What five odd digits that add up to 14?
It is not possible to add together 5 odd numbers to make an even number.
When you add two odd number together is your answer an even or an odd number?
Always an even number. Think of an odd number as an even number plus a half. Add them up and the two halves make an even.
Is it possible to get an even number when you add an odd and an even number?
No it is not possible to get a even number by adding odd and even number. 1+2=3-odd number.3+4=7-odd number.
What number is a square number plus its even?
4 add 12 = 16 and that is an square number
When odd number plus an even number is equal even numbers?
Any odd number can be written as an even number plus one. Any even number plus any other even number makes an even number. Add one makes an odd number. So an odd number plus an even number is always an odd number. Algebraically, any odd number can be written as 2a+ 1 where a is a whole number. Any even number can be written as 2b, where b is a whole number. Add them together, the sum is 2(a + b) + 1, which is odd.
Why is the sum of two odd numbers even?
-- The first odd number is some even number plus an extra ' 1 '. -- The second odd number is some even number plus an extra ' 1 '. -- Add them. You get (an even number) + (an even number) + ( 2 ). That's an even number. ======================== Another mind-bending , brain-busting way to look at it : -- The first odd number is some even number plus an extra ' 1 '. -- The second odd number is some even number minus ' 1 '. -- Add them. You get (an even number) + (an even number) + ( [1 - 1] or zero ). That's an even number.
Can you add an even number to 15 so that the sum is an even number?
No because two plus 15 equals 17
Why is the sum of an odd or even number odd or even?
The sum of an odd and even number is always odd because there's always one left over. Think of any odd number as being any even number plus one. If you add two even numbers, the answer is always even. If you add an even and an odd (plus one), the answer is always odd.
Why is the sum os an even and odd number a odd number?
The sum of an odd and even number is always odd because there's always one left over. Think of any odd number as being any even number plus one. If you add two even numbers, the answer is always even. If you add an even and an odd (plus one), the answer is always odd.
Why is the sum of an odd and even number odd?
The sum of an odd and even number is always odd because there's always one left over. Think of any odd number as being any even number plus one. If you add two even numbers, the answer is always even. If you add an even and an odd (plus one), the answer is always odd.
Is it possible to have 2 even numbers that add to be an odd number?
no...all even numbers that are added together are even.
What do you get when you add an even number and an odd number?
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Even plus odd is odd.
Can you add 2 odd numbers that equal an odd number?
no, b/c you can think of an odd number as an even number plus one. So if you add two odd numbers, you would be adding 2 even numbers plus 2... Let # be even... (#+1) + (#+1) = (#+#) + 2 two even numbers added together are always even
