Question

Which statement is true ?

Answer 1

The product of two negative numbers is positive is your answer

Answer 2

It is important to first understand the vocab they are using. You might already know these words, but I will write the basic definitions just to make sure. 

Quotient- a number that you get for an answer in a division problem.
Product- a number that you get for an answer in a multiplication problem.

Knowing this, which of the following statements is true?
1. The quotient of two negative numbers is negative. - FALSE ( For example, (-2/-1)=(1) ) a positive number one is our quotient.

2. The product of two negative numbers is positive. - TRUE ( the double negative creates a positive. For example, (-2×-3)= 6. The product "6" is positive.)

3. The quotient of a positive number and a negative number is positive. - FALSE ( Ex: (-1÷ 2)= ($- \frac{1}{2}$) The negative one half is our quotient and it is not positive.

4. The product of two numbers positive numbers is negative. - FALSE you need at a negative number that you in the multiplication in order to get a negative product.


Rule of thumb:

If you have an even amount of negative numbers present in a division or multiplication problem, the negatives will cancel each other out and create a positive outcome(quotient/product). 

If you have no negative numbers at all in a multiplication or division problem you will have a positive outcome. 

If you have an odd number of negative numbers, the outcome will be negative in an multiplication or division problem. 

Please comment below with any further questions you still have! 


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