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The presentation of an even number is 2n (we can use any letter, such as 2m or 2r)
Let the first even number be 2n and the second number be 2m. So we have,
2n + 2m
= 2(n + m) let n + m = r, then by substituting r for n + m we have
= 2r
Since 2r represents an even number, then we can say that when are adding two even numbers we obtain another even number.
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Is the sum of two odd numbers an even numbers?
Yes, when adding two odd numbers together the sum will always be an even number.
Why is two even numbers or two odd numbers even because 2 is a even number?
When adding two numbers together it must be divisible by two. Being divisible by two is the definition of an even number.
When adding 2 odd numbers together will you always get an even number?
Yes. Try it right now. Any two odd numbers, add them together.
How many ways can the whole number 50 be expressed as the sum of three different prime numbers?
Look at the first 2 of these prime numbers. They cannot be even for then they would be divisible by 2, so not prime. Add them together. Two odd numbers added together make an even. Subtract this even number from 50 (also even) so the third number must be even. There is no way of adding 3 prime numbers together to make an even number.
Why when you multiply an odd number by a even does it always equal a even?
When you multiply an odd number by an even number, you are essentially adding an even number of odd numbers together. Since adding an even number of odd numbers will always result in an even number, the product will be even.
