Multiplying and Dividing Rational Numbers Word Problems

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 necessary.

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 number by the reciprocal of the second number.

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

If the temperature drops at a rate of 2½ degrees for 4¼ hours, how do you calculate the total change in temperature?

Back

Multiply the rate of change (-2.5) by the time (4.25) to find the total change: -2.5 * 4.25 = -10.625 degrees.

Front

What is the best way to estimate the result of dividing 62.4 inches by 3?

Back

Round 62.4 to 60, then divide: 60 ÷ 3 = 20 inches.

Front

What is the process to solve 7.8 ÷ 0.03?

Back

Convert 0.03 to a whole number by multiplying both numbers by 100: 7.8 ÷ 0.03 = 780 ÷ 3 = 260.

Front

How do you find the width of each piece when cutting 8.25 inches of paper into 5 equal pieces?

Back

Divide 8.25 by 5: 8.25 ÷ 5 = 1.65 inches.