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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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โˆ™ 2015-11-18 11:23:38
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Q: Why is a negative number times negative number always a positive?
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Related questions

How do you work out how to times a positive number by a negative number?

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)


Why does a negative number times a negative number produce a positive number?

Negative times negative is always a positive.


Why is the square of a number always a positive number?

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.


Why is any number raised to a even power 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.


What is a positive times a negitive?

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


Would a positive multiplied by a negative be a positive?

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


How do you square negative numbers?

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


What is negative 2 times positive 6?

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


What is a negitaive times a 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.


What is -4 times 6?

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


A negative times a positive equals?

A negative times a positive is always a negative.


How do you multiply a negative number to a positive number?

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.


Why is a negative number times a negative number always equal a positive number?

because you are dividing with same signs


What is a positive integer times a negative integer?

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


Does a negative number times a positive number equal a positive or a negative number?

Negative.


What is negative seven times positive seven?

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


When you multiply a positive number by a negative by a negative one what is the sign of the answer?

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 times a postitive gets you?

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


When you multipulply negative number by positive number what do you get?

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


To multiply a negative number and a negative number you should multiply their absolute values and make the product negative true or false?

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.


What is negative 4 times postitive 4?

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When a negative number is cubed is it negative or a positive number?

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 positive times a negative?

a postitive times a negative is always a negative


How do i times by a minus number?

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.


What is negative 10 times negative 5?

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