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 negative rational number by a positive rational number?

Back

The result is a negative rational number.

Front

How do you divide two rational numbers?

Back

To divide two rational numbers, multiply the first rational number by the reciprocal of the second rational number.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by swapping its numerator and denominator.

Front

What is the significance of the sign when multiplying or dividing rational numbers?

Back

The sign of the result depends on the signs of the numbers involved: positive times positive is positive, positive times negative is negative, negative times negative is positive, and negative divided by positive is negative.

Front

What is the simplified form of 3 3/4 multiplied by 1/2?

Back

The simplified form is 15/8.

Front

If Frank weighs 225 pounds on Earth, how much would he weigh on Mars where gravity is 0.38 of Earth's?

Back

Frank would weigh 85.5 pounds on Mars.

Front

What is the result of 1/5 divided by -2/5?

Back

The result is -1/2.