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A number's parity is what determines if we call it even or odd. To determine parity, we divide the integer by 2 and take the remainder. For example, 7/2 has a remainder of 1 because 7 = 2(3) + 1. All odd numbers (like 7) have a remainder of 1 where all even numbers have a remainder of 0 (like 8 = 2(4) + 0).
This means even numbers are divisible by 2. Now, lets consider multiplying some unknown number n by 4.
n * 4 = 4n
Why is 4n necessarily even? When we divide 4n by 2, we get 2n. 4n is always divisible by 2 if n is an integer. Thus, 4n is always even and 4 times any integer is always even.
To reach this solution more intuitively, realize that any even number multiplied by any other integer results in an even number (e.g. even * even = even and even * odd = even). Thus, 4 times any number results in an even number because 4 is even.
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When you multiply an odd number by an odd number is the answer always odd?
Yes - while multiplying odd numbers by even numbers will always produce an even result.
When a number is doubled it is always even why?
When you double any number you are in-fact multiplying it by 2 which is an even number. All even numbers are multiples of 2. When a number is doubled, it is multiplied by 2 and so the result is always a multiple of 2. Thus it must always be an even number.
When an odd number is subtracted from even number what is the result?
you will always have an odd number when you subtract an odd number from am even number
Does a negative squared equal a positive or negative?
A negative number squared equals a positive number. When multiplying, odd numbers of negatives result in a negative answer, and even numbers of negatives result in a positive answer.
Does multiplying an odd number by an even number give an even answer?
odd * odd = odd answer even * even = even answer odd * even = even answer
Why is anything mulpitied by a number always greater?
because when mulitipling that number your always going to get a greater number because that's just how mulipication worksWhen multiplying two whole numbers the result will always be greater than either number except when multiplying by zero (the result will always be zero), or multiplying by one (the result is always the other number). Although it f obvious to most people, it can be demonstrated as follows:When multiplying a number by 2, the result is twice the number.When multiplying a number by 3, the result is three times the number,even bigger.When multiplying a number by 4, the result is four times the number,even bigger still.The pattern continues. Each time you multiply by a larger number, the result gets even bigger.a
What even number and odd number equal a even number?
Your question is incomplete. Adding an even number with an odd number will always result in an odd number. Multiplying an even number with an odd number will always result in an even number.
When you multiply an odd number by an odd number is the answer always odd?
Yes - while multiplying odd numbers by even numbers will always produce an even result.
When a number is doubled it is always even why?
When you double any number you are in-fact multiplying it by 2 which is an even number. All even numbers are multiples of 2. When a number is doubled, it is multiplied by 2 and so the result is always a multiple of 2. Thus it must always be an even number.
What is the rule for multiplying an odd and even number?
Your answer will always be even
Why whenever you x's2 you get even number?
The same results from multiplying by ANY even number - the answer will ALWAYS be even !
What are the rules of multiplying odd and even numbers?
Multiplying two odds together gives an odd result Otherwise multiplying one even and one odd, or two even numbers together gives an even result.
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.
What is the sum of an odd and even number?
The result will always be an odd number.
Are the multiples of an even number always even?
Yes, assuming you're multiplying it by another integer. By definition, an even number is a multiple of two. When you multiply it be another round number, that even number becomes a factor of the result. That means any factors of that even number (one of them being two), will also be factors of the result, thus giving you another even number. If however you multiply by a non-integer, you may very well end up with something that is not an even number. For example, 6 is an even number, but 6 × 1.5 will give you 9, which is not an even number.
When an odd number is subtracted from even number what is the result?
you will always have an odd number when you subtract an odd number from am even number
Is even number times even number always even?
Yes, it is. Any whole number times an even number will be even. This is because whole numbers can be represented as the product of their prime factors. Every even number contains 2 as a prime factor (thereby excluding all even numbers above 2 from being prime.) Additionally, the product of any two numbers is equal to the product of their prime factors. This means that the result of multiplying an even number by a whole number will always have a prime factor of 2, making it an even number.
