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Why a given integer is ever or odd?

An integer is even or odd can be decided by checking its divisibility by 2 if it is divided by 2 it is even and if not then it is odd


Is the product of an odd integer and an even integer even?

Yes, the product of an odd integer and an even integer is always even. This is because an even integer can be expressed as 2 times some integer, and when multiplied by any other integer (odd or even), the result will still be a multiple of 2, thus making it even. For example, multiplying 3 (odd) by 4 (even) gives 12, which is even.


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.


Why is the sum always odd when you add an even and an odd number?

An even integer is a multiple of 2 so that if x is the even integer then there is some other integer a such that x = 2a. An odd integer is one which, when you divide it by 2, leaves a remainder of 1. That is, if y is the odd integer, then y = 2b + 1 for some other integer b. Now, the sum of the even and odd integer is x + y = 2a + 2b + 1 = 2(a+b) + 1 By the closure of integers under addition, a and b are integers implies that a+b is an integer. So 2(a+b) is even and so the sum is odd.


What are the three consecutive odd integers with sum of -30?

It cannot be done. The basic rules of math. odd integer plus odd integer = even integer. odd integer plus even integer = odd integer. Always. odd integer plus odd integer plus odd integer = odd integer. Always.


Can you multiply an odd integer and even integer?

Yes, you can. An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2.


How do we know if an integer is a odd or even?

If its not divisible by 2 evenly then it is an odd number.


When you have a square number hiw do you know whether the results will be odd or even?

A square number is the result of multiplying an integer by itself. If the integer is even, the square will also be even, as the product of two even numbers is even (e.g., 2 × 2 = 4). Conversely, if the integer is odd, the square will be odd, since the product of two odd numbers is odd (e.g., 3 × 3 = 9). Therefore, the parity (odd or even) of a square number depends solely on whether the original integer is odd or even.


What are the odd integers greater than 40?

Any integer that is divisible by 2 with no remainder is even otherwise it is an odd integer


If n plus 4 represents an odd integer the next larger number odd integer is represented by?

Every integer is either even (divisible by 2) or odd (not divisible by 2). Since an even number plus 1 is odd and an odd number plus one is even, because 1 does not divide 2. We know (n + 4) is odd. The next integer is (n + 4 + 1) = (n + 5), because an odd number plus 1 is even, (n + 5) is even. The integer after (n + 5) is (n + 6), since (n + 5) we know is even, (n + 6) must be odd. Since (n + 6) is the smallest integer that is greater than (n + 4) and is odd, so (n + 6) is the next odd integer.


How do you use inductive reasoning to prove the product of an odd integer and an even integer will always be even?

The product of an odd and even number will always have 2 as a factor. Therefore, it will always be even.


What number is not even or odd?

Any number that is not an integer is neither even nor odd. For example, 8.5, pi, the square root of 2 are all neither even nor odd. Every integer (including 0) is either even or odd. 0 is even since it is divisible by 2: 0 / 2 = 0