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 divide two rational numbers?

Back

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

Front

What is the reciprocal of a number?

Back

The reciprocal of a number is 1 divided by that number. For example, the reciprocal of 2 is 1/2.

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

What is the result of multiplying two negative rational numbers?

Back

The result is a positive rational number.

Front

How do you convert a decimal to a fraction?

Back

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 1, then multiply the numerator and denominator by 10 for each digit after the decimal point.

Front

What is the product of 0 and any rational number?

Back

The product of 0 and any rational number is always 0.

Front

How do you multiply two rational numbers?

Back

To multiply two rational numbers, multiply their numerators together and their denominators together.

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 ÷ positive = positive; positive ÷ negative = negative; negative ÷ negative = positive.

Front

What is the quotient of a number and itself (except zero)?

Back

The quotient of a number and itself is always 1.