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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
What is a square number but not even?
A square number is a number that is the result of multiplying an integer by itself. For example, 1, 4, 9, 16, and 25 are square numbers because they are the result of 1x1, 2x2, 3x3, 4x4, and 5x5 respectively. While square numbers can be odd or even, they are always whole numbers.
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.
