Applications of multiplying rational numbers practice

Answer 1

Sure! Here are several applications of multiplying rational numbers, along with practice problems for each application. You can also find examples to help guide your understanding.

Applications of Multiplying Rational Numbers

1. Finance/Budgeting:

   • Application: Calculating discounts or taxes.
   • Example Problem: A sweater is regularly priced at $50. If there’s a 20% discount, what is the sale price?

2. Cooking and Recipes:

   • Application: Adjusting ingredient quantities based on serving size.
   • Example Problem: A recipe calls for 2/3 cup of sugar. If you want to make only 3/4 of the recipe, how much sugar do you need?

3. Measurement/Area:

   • Application: Finding the area of rectangles or other geometric shapes.
   • Example Problem: A rectangle has a length of 1.5 meters and a width of 2/3 meters. What is the area of the rectangle?

4. Speed/Rate Problems:

   • Application: Calculating distance or time based on rates.
   • Example Problem: A car travels at a speed of 60 miles per hour for 1/4 of an hour. How far does it travel?

5. Scaling:

   • Application: When resizing objects (e.g., scale models).
   • Example Problem: If a model of a car is built at 1/10 the actual size and the actual car is 15 feet long, how long is the model in feet?

Practice Problems

1. Finance/Budgeting:

   • A laptop costs $800, and there’s a 15% off sale. What is the price after the discount?

2. Cooking and Recipes:

   • A smoothie recipe needs 1/2 cup of yogurt. If you are making 2/5 of the recipe, how much yogurt do you need?

3. Measurement/Area:

   • A rectangular garden measures 4.5 meters by 7/8 meters. What is the area of the garden in square meters?

4. Speed/Rate Problems:

   • A cyclist is riding at a speed of 15 miles per hour for 1/3 of an hour. How far does the cyclist travel?

5. Scaling:

   • A blueprint of a room is drawn at a scale of 1/20. If the length of the room in the blueprint is 3 inches, what is the actual length of the room in feet?

Answers to Practice Problems

1. Finance/Budgeting:

   • Discount = 800 × 0.15 = $120.
   • Sale Price = 800 - 120 = $680.

2. Cooking and Recipes:

   • Amount of yogurt = (1/2) × (2/5) = 2/10 = 1/5 cup.

3. Measurement/Area:

   • Area = 4.5 × (7/8) = 4.5 × 0.875 = 3.9375 square meters.

4. Speed/Rate Problems:

   • Distance = speed × time = 15 × (1/3) = 5 miles.

5. Scaling:

   • Actual Length = 3 × 20 inches = 60 inches = 5 feet.

Feel free to explore more complex problems or applications if desired!