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That's the way it is defined. And it's defined that way to maintain consistency in different properties of numbers. However, the following argument makes it look reasonable, at least. Let's assume it is already given that a positive number times a negative number is negative. (If this doesn't sound reasonable to you, please ask a separate question.)

Now consider the following sequence:

-10 x 3 = -30

-10 x 2 = -20

-10 x 1 = -10

-10 x 0 = 0

-10 x -1 = ...

Now consider the question: What number should you fill in to complete the sequence? The left number in each multiplication is constant, the middle number decreases by one at a time. The rightmost column obviously obviously increases by 10 at a time; if you continue the sequence, you inevitably get 10 - a positive number. Similarly, you get positive numbers if you replace the sequence with any other combination of numbers, such that the first number is negative, and the second number decreases at a constant rate.

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Q: Why is a negative number times negative number always a positive?

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A positive number times a positive number will always get you a positive number A negative number times a negative number will always get you a positive number (same signs will get you a positive number) but A positive number times a negative number will always get you a negative number or A negative number times a positive number will always get you a negative number (different signs will get you a negative number)

Negative times negative is always a positive.

The square of a number is always two numbers multiplied together. A positive times a positive is always positive, and a negative times a negative is always positive.

A positive number times a positive number is always positive. A negative number times a negative number is always positive. Therefore, any square number will be positive. Any number to the fourth power (a square times a square) will always be positive. And so on.

A positive number multiplied with a negative number will always be negative.

No. A positive times a negative is always negative. A negative times a negative is always a positive.

Multiply the number by its self and the answer will always be positive (negative times a negative is positive)

-12A negative times a positive is always a negative.A negative times a negative is always positive.

A negative number times a positive number will give you a negative product.A negative number times a positive number will give you a negative product.A negative number times a positive number will give you a negative product.A negative number times a positive number will give you a negative product.

-24. A negative number times a positive always results in a negative answer.

A negative times a positive is always a negative.

A negative times a positive is always a negative. The rest is the same: just multiply as if they are both positive numbers and then add the negative sign at the end.

because you are dividing with same signs

When you multiply a negative number by a positive number then the product is always negative. When you multiply a positive number by a negative number then the product is always negative. ( - 2 ) ( + 3 ) = - 6 ( - 4 ) ( 1 ) = - 4 ( - 1 ) 2 = - 2 ( + 2 ) ( - 2 ) = - 4 ( 3 ) ( - 2 ) = - 6 4 ( - 2 ) = - 8

Negative.

-49 A negative times a positive is always a negative.

A negative times a positive is a negative and that negative times a negative would = a positive. So the answer would be a positive number. *<:)

A negative (real) number multiplied by a positive (real) number will always result in a negative (real) number.

A negative number times a positive number is a negative number.

That is false. A negative times a negative is always a positive. Since absolute numbers are always positive if you make it negative that is not correct.

-16. A negative number multiplied by a positive number always yields a negative result.

I think that it's a negative number, as a negative times a negative is a positive, and a positive times a negative is a negative, but I could be wrong. (DUN-DUN--DUUUUUN...)

a postitive times a negative is always a negative

The same as a positive one. If you are multiplying a positive number by a negative, the answer will be negative. If you are multiplying a negative number by a negative, the answer will be positive.

-10 x -5 = +50A negative times a negative will always equal a positive number.A negative times a positive will always equal a negative number.A positive times a positive will always equal a positive number.- x - = +- x + = -+ x + = +