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It leaves a remainder of 1 when divided by 2. Or, if the number is n, then n-1 or n+1 is even (divisible by 2).

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โˆ™ 2011-02-18 18:38:39
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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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โˆ™ 2017-04-04 00:12:33

It ends in 1, 3, 5, 7 or 9.

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Q: How do you prove that an integer is an odd integer?
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Related questions

Do Prove that the product of an integer and arbitrary integer is even?

The statement is not true. Disprove by counter-example: 3 is an integer and 5 is an integer, their product is 15 which 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.


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.


If n is an odd integer prove 8 divides n of n-1?

9


What is the 17th odd positive integer?

33 The 17th odd positive integer is


Is -2 even integer or odd integer?

even integer.


Is the square of an odd integer is odd?

Yes.


What is an Odd square?

It is the square of an odd integer.


Is an odd integer greater than 40?

The next odd integer after 40 is 41


Is the set of odd integers closed under division?

No. For example, 5 is an odd integer and 3 is an odd integer, yet 5/3 is neither an integer nor odd (as odd numbers are, by definition, integers).


What kind of number is 71?

The number 71 is an integer, an odd integer, a positive odd integer, and also a prime number.


Are decimals odd or even?

Only integers are even or odd. We do not call fractions, irrational numbers, imaginary numbers, and so on either even or odd. If a decimal is equal to an integer (for example 24.0 is equal to 24), then it is even if the integer is even or odd if the integer is odd. If a decimal is not equal to an integer (for example 24.1 is not an integer), then it is neither even nor odd.


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


How do you input odd integers?

let x = any integer then (2x + 1) = any odd integer


how can the following definition be written correctly as a biconditional statementAn odd integer is an integer that is not divisible by two.?

An integer is odd if and only if it is not divisible by two.


Definition of odd number?

An odd number is an integer of the form 2*n+1 where n is an integer. Equivalently, an odd number is an integer which leaver a remainder of 1 when divided by 2.


Two consecutive odd integers whose sum is 36?

17 (odd integer) + 19 (odd integer) = 36 17 and 19 are consecutive odd integers.


Is the sum of one odd number and one even number even or odd prove and explain in words?

The sum of an odd and an even number is odd. Any odd number can be expressed as 2n + 1 (for some integer "n"). Any even number can be expressed as 2m (for another integer, "m"). The sum of the two is 2(m+n) + 1. Since the expression in parentheses is an integer, multiplying it by 2 gives you an even number. Adding 1 makes the entire expression odd.


What are the next two consecutive odd integers if n is an odd integer?

If n is an odd integer then the next two consecutive odd integers are n+2 and n+4.


Why is the sum of consecutive odd integers always a multiple of 4?

It is quite easy to prove this using algebra. Suppose x is the smaller of the two odd integer. The fact that x is odd means that it is of the form 2m + 1 where m is an integer. [m integer => 2m is an even integer => 2m + 1 is odd] The next odd integer will be x + 2, which is (2m + 1) + 2 = 2m + 3 The sum of these two consecutive odd integers is, therefore, 2m + 1 + 2m + 3 = 4m + 4 = 4(m + 1) Since m is an integer, m+1 is an integer and so 4(m + 1) represents a factorisation of the answer which implies that 4 is a factor of the sum. In other words, the sum is a multiple of 4.


Is 15 an odd integer?

Yes, it is.


What is an integer that is not divisible by two?

Odd.


Can decimal number can be even or odd?

Only integers are even or odd. If a decimal is equal to an integer (for example 24.0 is equal to 24), then it can be even or odd. If a decimal is not equal to an integer (for example, 24.1 is not an integer), then it is neither even nor odd.


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.


What is the next even integer if n is an odd integer?

n + 1