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.
"IT IS ALWAYS A ODD"
No. Sum of odd + odd = even Sum of odd + even = odd Sum of even + even = even
Not quite.When two prime numbers of 3 and higher are added together, the result is always even, because all such prime numbers are odd numbers, and when two odd numbers are added together, the result is always an even number.However 2 is a prime number, and 2 is also an even number. Adding 2 (an even number) to a different prime number (an odd number) will always yield an odd number.Only if you don't include "2".
an odd numberSubtracting an odd number from an even number will always result in an odd number.
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.
There are no 5 odd numbers that when added together make 30.Two odd numbers added together make an even numberAn odd number plus and even number makes an odd number.From the five odd numbers:Take two of them and add them together getting an even number and four odd numbersAdd another of the odd numbers to this even number and you will have three odd numbersAdd two of these together and you will have one even and one odd number.Finally add these odd and even numbers together and the result will be an odd numberBut 30 is an even number, so cannot be the sum of five (or any odd number of) odd numbers.
Difference of two odd numbers is an even number. Adding an even number changes nothing.
There are two truths about odd numbers. When added you get an even number... always! When multiplied you get an odd number... always!
2 odd numbers added together equal an event number. to even numbers added together equal an even number. it is impossible to make 4 odd numbers equal an even.
Just add 1
1.
1
2 is an even number. I believe your confusion comes from the fact that 2 is a prime number, but it is still even. It is the only even number that is prime.
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.
because it comes after 4 and 4 is an even number. :)
It never comes out even. There is always one left over when you an odd number by two.