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 1/4 miles on Monday and 3 5/8 miles on Tuesday. To determine how much further he traveled on Tuesday than on Monday, you would...

• Add

• Subtract

• Multiply

• Divide

Open Ended

Jim biked 2 1/4 miles on Monday and 3 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 1/2 watermelons left over. If they each decided to take equal parts home, they would need to...

• Add

• Subtract

• Multiply

• Divide

Open Ended

After a back to school party, 7 friends had 3 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 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

Open Ended

Sherry needs 3 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 3/8 yard long, another was 1 1/4 yards long, and the third was 2 1/2 yards long. To find the total amount of rope Richard had, you would need to...

• Add

• Subtract

• Multiply

• Divide

Open Ended

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

Word Problem Set #2

Multiple Choice

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

• 90 5/8 pounds

• 91 3/8 pounds

• 91 1/8 pounds

• 91 7/8 pounds

Multiple Choice

Aaron estimates that he uses 43 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 1/2 gallons

• 997 1/2 gallons

• 1,348 1/2 gallons

• 1,300 gallons

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

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

Multiple Choice

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

• 7 3/8 yards

• 17 5/8 yards

• -17 5/8 yards

• -7 3/8 yards

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