Q: Will the answer to an even number times an odd number be even or odd?

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An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Even times odd is odd.

An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Even times odd is even/

Yes. One has to be the square of an odd number. The other square has to the the square of the even number either before or after the odd number. If this is confusing just plug in real values. In either case, an odd times and odd is odd. Therefore one of the squares has to be odd. AN even times an even, however, is always even. Therefore, the second square has to be even. Thus, one of the squares is even and the other is odd. An even plus and odd 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. Odd times odd is always odd.

Let me show this to you by an example : Suppose we wish to multiply 3 and 7. Product or Multiplication by any device is actually carried by the process of addition of 3 seven times, i.e. 3+3+3+3+3+3+3 = 21. Because the two numbers are odd, the result is always odd. To Summarize, addition of an odd number(i.e. 3) to itself an odd number of times(i.e. 7) always results in an odd number. The product of an even and an odd number always results in an even number because addition of even number any number of times is always even and an odd number added to itself an even number of times also results in an even number. For ex. 7*2 = 14, here 7(odd number) is added 2(even number) times, i.e. 7+7=14 which is even.

Related questions

Yes. Odd times odd is odd. Odd times even is even. Even times even is even.

An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Odd times even is even.

That happens because 5 is an odd number. An odd number times an odd number will give you an odd product; an odd number times an even number will give you an even product. The same happens for the multiples of any other odd number.

An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Even times odd is odd.

No. In fact, you NEVER get an odd number.

An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Odd times even is even.

An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Even times odd is even/

Even, anything times an even = an even

even times even = even odd times even = even odd times odd = odd

even times even = even odd times even = even odd times odd = odd

even times even = even odd times odd = odd even times odd = even

yes, the product of 2 odd numbers is always an odd number. Well, the question is why. The first number is "even" + 1. Multiply both of these by your odd number. Now the "even" times "odd" is even, because every "1" in the odd number becomes a "2". And then the remaining 1 times "odd" must be odd, which is an even +1. Add it all up and you get evens everywhere except that final "1". So the result is even + 1 which is odd. There is a quicker way if you know how to multiply bracketed terms: odd x odd = (even + 1)x(even +1)= even x even +even +even +1 = must be odd.