Multiplying and Dividing Rational Numbers

What is a rational number?

• A number that can be expressed as the quotient of two integers, where the denominator is not zero.

• A number that cannot be expressed as a fraction.

• A number that is always an integer.

• A number that has an infinite number of decimal places.

What is the rule for multiplying two rational numbers with the same sign?

• The product is negative.

• The product is zero.

• The product is positive.

• The product is undefined.

What is the result of @@\frac{1}{4} \times \frac{2}{3}@@?

• @@\frac{1}{4}@@

• @@\frac{1}{6}@@

• @@\frac{2}{12}@@

• @@\frac{1}{2}@@

What is the rule for multiplying two rational numbers with different signs?

• The product is positive.

• The product is negative.

• The product is zero.

• The product is undefined.

What is the result of @@\frac{-8}{9} \times \frac{1}{2}@@?

• @@\frac{-4}{9}@@

• @@\frac{-2}{9}@@

• @@\frac{4}{9}@@

• @@\frac{-8}{18}@@

What is the rule for dividing two rational numbers?

• The quotient is always positive.

• If both numbers have the same sign, the quotient is positive; if they have different signs, the quotient is negative.

• The quotient is always negative.

• The quotient is positive if one number is negative and the other is positive.