Applications of Rational Numbers

Applications of Rational Numbers

Directions: Answer the following questions related to operations of adding, subtracting, multiplying and dividing rational numbers (integers, decimals and fractions).

Word Problem Set #1

Practice answering the following application word problems of operations with rational numbers.

Multiple Choice

Jim biked $2\ \frac{1}{4}$ miles on Monday and  $3\ \frac{5}{8}$ miles on Tuesday. To determine how much further he traveled on Tuesday than on Monday, you would...

• Add

• Subtract

• Multiply

• Divide

Fill in the Blank

Jim biked  $2\ \frac{1}{4}$   miles on Monday and  $3\ \frac{5}{8}$  miles on Tuesday. How much further had he traveled on Tuesday than on Monday?

Multiple Choice

After a back to school party, 7 friends had  $3\ \frac{1}{2}$  watermelons left over. If they each decided to take equal parts home, they would need to...

• Add

• Subtract

• Multiply

• Divide

Fill in the Blank

After a back to school party, 7 friends had  $3\ \frac{1}{2}$   watermelons left over. The each decided to take equal parts home. How much should each person take home?

Multiple Choice

Sherry needs  $3\ \frac{2}{3}$  cups of sugar to bake a cake. She is baking 4 cakes for a church gathering. Sherry would need to ______ to determine how many cups of sugar she needs for these cakes.

• Add

• Subtract

• Multiply

• Divide

Fill in the Blank

Sherry needs  $3\ \frac{2}{3}$  cups of sugar to bake a cake. She is baking 4 cakes for a church gathering. How many cups of sugar does she need for these cakes?

Multiple Choice

Richard had 3 pieces of rope. One piece was  $\frac{3}{8}$    yard long, another was  $1\ \frac{1}{4}$   yards long, and the third was  $2\ \frac{1}{2}$   yards long. To find the total amount of rope Richard had, you would need to...

• Add

• Subtract

• Multiply

• Divide

Fill in the Blank

Richard had 3 pieces of rope. One piece was  $\frac{3}{8}$  yard long, another was  $1\ \frac{1}{4}$   yards long, and the third was  $2\ \frac{1}{2}$  yards long. What is the total amount of rope Richard had?

Word Problem Set #2

Multiple Choice

Giovani’s dog weighed  $70\ \frac{3}{4}$  pounds when he got him last month. During the month he gained  $20\ \frac{5}{8}$   pounds. What does his dog weigh now?

•  $90\ \frac{5}{8}$  pounds

•  $91\ \frac{3}{8}$   pounds

•  $91\ \frac{1}{8}$   pounds

•  $91\ \frac{7}{8}$   pounds

Fill in the Blank

The legend of a map indicated that 1 inch = 16 miles. If the distance on the map between two cities is  $2\ \frac{3}{8}$  inches, how far apart are the cities?

Multiple Choice

Aaron estimates that he uses  $43\ \frac{1}{2}$  gallons of water each time he showers. At this rate, how many gallons of water would Andrew use in a 31-day month if he showers every day?

•  $977\ \frac{1}{2}$   gallons

•  $997\ \frac{1}{2}$   gallons

•  $1348\ \frac{1}{2}$   gallons

• 1,300 gallons

Fill in the Blank

Some companies pay people extra when they work more than a regular 40-hour work week. The overtime pay is often  $1\ \frac{1}{2}$ times the regular hourly rate. This is called time and a half. A summer job for students pays $12 an hour and offers time and a half for the hours worked over 40. If a student works 46 hours during one week, what is the student's total pay before taxes?

Multiple Choice

The Smith family bought a new television set. The television costs $898.20, including tax. They plan to pay for the television in 12 equal monthly payments. How much will they pay each month?

• $76.44

• $74.20

• $74.85

• $72.10

Fill in the Blank

At a workshop on enhancing creativity,  $\frac{1}{4}$ of the participants are musicians,  $\frac{2}{5}$   are artists,  $\frac{1}{10}$  are actors and the remaining participants are writers. What fraction of the people attending the workshop are writers?

Multiple Choice

A submarine submerged to a depth of 35.25 meters and then dives an additional 8.5 meters. What is the new depth of the submarine?

• -43.75 meters

• 26.75 meters

• -49.75 meters

• -36.10 meters

Fill in the Blank

A board that is  $7\ \frac{1}{4}$ inches long is cut from a board that is 3 feet long. If the width of the saw cut is  $\frac{1}{16}$  inch, what is the length of the remaining piece?

Multiple Choice

The first play of a football game resulted in a loss of  $12\ \frac{1}{2}$  yards. Then a penalty resulted in another loss of  $5\ \frac{1}{8}$  yards. What is the total loss for the team?

•  $7\ \frac{3}{8}$   yards

•  $17\ \frac{5}{8}$   yards

•  $-17\ \frac{5}{8}$   yards

•  $-7\ \frac{3}{8}$   yards

Fill in the Blank

The ingredients to make 16 brownies are  $\frac{2}{3}$ cup butter, 5 ounces unsweetened chocolate,  $1\ \frac{1}{2}$  cups sugar, 2 teaspoons vanilla, 2 eggs and 1 cup flour. With only one cup of sugar, what is the greatest number of brownies that you could make? (Ignore part of a brownie.)

Multiple Choice

Abigail has long black hair that is 32 inches long. She asks the hairdresser to cut off one-fourth the total length of her hair. How long will Abigail’s hair measure after the haircut?

• 24 inches

• 8 inches

• 40 inches

• 28 inches