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What does odd divided by even always equal?
Odd divided by even will always be a decimal. The answer will not be an integer.
The sum of an even integer and an odd integer is always odd?
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.
Is an odd number always an irrational number?
No. In fact, no odd integer is irrational. They are all rational.
Why when you add even and odd is always odd?
all even numbers can be written in the form 2k where, k is an integer. all odd numbers can be written in the form 2j+1, where j is an integer. 2k + 2j + 1 = 2(k+j) + 1. You can see that this is in the form of an odd number. hence, the sum of an odd number and an even number is always odd. Test the theory. Pick any even and any odd number. Add them. The total will always be odd.
Can the sum of an odd and even number be odd?
Yes, 1+2=3 and since 1 is odd and 2 is even this shows it can happen. In fact it always does! If we let an even number be denoted by 2n for some integer n and and an odd one 2m+1 for some integer m. Then, 2m+1+2n=2(m+n)+1. Call m+n, p since it is also an integer. 2p+1 is always odd.
