Multiplying & Dividing Rational Numbers Flashcard

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 if possible.

Front

What is the rule for dividing rational numbers?

Back

To divide by a rational number, multiply by its reciprocal (invert the second number and multiply).

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

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

Back

Multiply the whole number by the denominator, add the numerator, and place that result over the original denominator.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How do you find the total change in a quantity over time?

Back

To find the total change, multiply the rate of change by the total time.

Front

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

Back

The result is a negative number.

Front

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

Back

The result is a negative number.

Front

What is the result of multiplying two negative numbers?

Back

The result is a positive number.