Question

Which statement is true about the sign of a quotient? Check all that apply. The quotient of two negative fractions is negative. The quotient of one negative fraction and one positive fraction is negative. The quotient of two positive fractions is negative. The quotient of two positive fractions is positive. The rules for the signs of quotients are the same as the rules for the signs of products.

Answer 1

The basic rule when it comes to multiplying or dividing integers are the same. If both numbers have the same signs, the answer will have a positive sign. If both number are opposite in signs, the answer will have a negative sign. Thus, the answers are:

The quotient of one negative fraction and one positive fraction is negative. 
The quotient of two positive fractions is positive.
The rules for the signs of quotients are the same as the rules for the signs of products.

Answer 2

Using the rules for the signs, we will see that the correct options are:

• "The quotient of one negative fraction and one positive fraction is negative."
• "The quotient of two positive fractions is positive."
• "The rules for the signs of quotients are the same as the rules for the signs of products."

How are the sign rules for quotients?

Remember that the rules for the product are:

• (+)*(+) = (+)
• (+)*(-) = (-)
• (-)*(+) = (-)
• (-)*(-) = (+).

Now, a quotient is equivalent to a product, so the rules are exactly the same rules as the above ones.

Then the statements that are true are:

• "The quotient of one negative fraction and one positive fraction is negative."
• "The quotient of two positive fractions is positive."
• "The rules for the signs of quotients are the same as the rules for the signs of products."

If you want to learn more about quotients, you can read:

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