Lesson 4
Converting Units
Problem 1
Priya’s family exchanged 250 dollars for 4,250 pesos. Priya bought a sweater for 510 pesos. How many dollars did the sweater cost?
| pesos | dollars |
|---|---|
| 4,250 | 250 |
| 25 | |
| 1 | |
| 3 | |
| 510 |
Solution
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Problem 2
There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon. For each question, explain or show your reasoning.
- How many milliliters are in 3 gallons?
- How many milliliters are in 1 quart?
Solution
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Problem 3
Lin knows that there are 4 quarts in a gallon. She wants to convert 6 quarts to gallons, but cannot decide if she should multiply 6 by 4 or divide 6 by 4 to find her answer. What should she do? Explain or show your reasoning. If you get stuck, consider drawing a double number line or using a table.
Solution
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Problem 4
Tyler has a baseball bat that weighs 28 ounces. Find this weight in kilograms and in grams. (Note: 1 kilogram \(\approx\) 35 ounces)
Solution
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Problem 5
Identify whether each unit measures length, volume, or weight (or mass).
- Mile
- Cup
- Pound
- Centimeter
- Liter
- Gram
- Pint
- Yard
- Kilogram
- Teaspoon
- Milliliter
Solution
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(From Unit 3, Lesson 1.)Problem 6
A recipe for trail mix uses 7 ounces of almonds with 5 ounces of raisins. (Almonds and raisins are the only ingredients.) How many ounces of almonds would be in a one-pound bag of this trail mix? Explain or show your reasoning.
Solution
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(From Unit 2, Lesson 11.)Problem 7
An ant can travel at a constant speed of 980 inches every 5 minutes.
- How far does the ant travel in 1 minute?
- At this rate, how far can the ant travel in 7 minutes?
Solution
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(From Unit 2, Lesson 9.)