Multiplying and Dividing Rational Numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

How do you multiply two rational numbers?

Back

To multiply two rational numbers, multiply their numerators together and their denominators together. Simplify the result if possible.

Front

What is the result of multiplying a positive rational number by a negative rational number?

Back

The result is a negative rational number.

Front

What is the result of dividing a rational number by another rational number?

Back

To divide a rational number by another, multiply the first number by the reciprocal of the second number.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the sign of the product of two negative numbers?

Back

The product of two negative numbers is positive.

Front

What is the sign of the product of a positive number and a negative number?

Back

The product of a positive number and a negative number is negative.

Front

What is the result of dividing a positive rational number by a negative rational number?

Back

The result is a negative rational number.

Front

How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.

Front

What is the first step in solving a division problem involving rational numbers?

Back

The first step is to identify the reciprocal of the divisor.