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. Then simplify the resulting fraction if possible.

Front

What is the rule for multiplying two negative numbers?

Back

The product of two negative numbers is positive.

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 number?

Back

The reciprocal of a number is 1 divided by that number. For a fraction, it is obtained by swapping the numerator and denominator.

Front

What is the simplest form of a fraction?

Back

A fraction is in simplest form when the numerator and denominator have no common factors other than 1.

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 result of multiplying a positive number by a negative number?

Back

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

Front

How do you simplify the fraction -14/16?

Back

To simplify -14/16, divide both the numerator and denominator by their greatest common divisor, which is 2, resulting in -7/8.

Front

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

Back

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