0
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.
Add your answer:
Earn +20 pts
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.
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.
What is the first even number that cannot be formed by adding two prime numbers together?
2
What four odd numbers added together makes nineteen?
Adding 4 odd numbers together will always equal an even number - got ya!
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.
Can 5 odd numbers make 50?
No. Two odd numbers added together always give an even number. Two even numbers added together always give an even number. An odd and an even number added together always give an odd number. So, if we have 5 odd numbers - a, b, c, d and e a + b will be even c + d will be even So if (a + b) + (c + d) is even, adding e to that will have to be an odd number - but 50 is even, so it cannot be done.
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.
How do you make od numbers?
By adding an odd number with an even number.
The average of 3 consecutive even is 37. what are the numbers?
If the average of 3 numbers is 37 then the sum of those numbers = 37 * 3 = 111. Which is an odd number. Adding together even numbers never results in an odd number. Therefore the 3 numbers can not be even numbers; consecutive or otherwise. The question can not be answered.
Why does an even number plus an odd number always equal an odd number?
For any even number n, the following integer is odd (n+1), so for any odd number other than 1, you are adding the preceding even number, plus 1. Because all even numbers are multiples of 2, their sum is even, and 1 more will be an odd number.---Think of the odd number as an even number plus one and remember that all even numbers are multiples of two.Therefore:- Any two even numbers added together will always be a multiple of two and therefore even. Any two odd numbers added together will be the same as adding two even numbers plus 1 plus 1. (A multiple of two plus two which is still a multiple of two).An odd number added to an even number will be the same as two even numbers plus 1 in other words a multiple of two (even) plus one making the result odd.Extrapolating further it's easy to see that by the above reasoning that for all positive integers...Any number of even numbers added together will always be even.An odd number of odd numbers added together will always be odd.Any even number of odd numbers added together will always be even,Adding any number of even numbers to any number of odd numbers will make no difference to the outcome, the odd or even outcome will still be determined by the number of odd numbers being added together.---Another approach:Let n, r be real numbers even number representation: 2nodd number representation: 2n + 1sum = 2n + 2n + 1 = 4n + 1 = 2(2n) + 1let 2n = rsum representation becomes: 2r + 1, which is a representation of an odd number.
What are two prime numbers whose sum is also prime?
2 + 3 = 5 2 + 5 = 7 2+ 11 = 13 2 + 41 = 43 The numbers only work with 2 because adding odd numbers together equals an even number. 2 is the only even prime number and thus adding any other prime numbers together will not equal a prime.
