Measurement Conversions — Answer Key
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
5 tons = 5,000 pounds because 1 ton equals 500 pounds.
Corrected: 5 tons = 10,000 pounds because 1 ton equals 2,000 pounds and 2,000 × 5 = 10,000.
The original used 500 pounds per ton, but 1 ton actually equals 2,000 pounds. Multiplying 2,000 by 5 gives 10,000 pounds, not 5,000.
2. Fix the sentence:
6 quarts = 18 cups because 1 quart equals 3 cups.
Corrected: 6 quarts = 24 cups because 1 quart equals 4 cups and 4 × 6 = 24.
The original said 1 quart equals 3 cups, but it actually equals 4 cups. So 6 quarts is 4 x 6 = 24 cups, not 18.
3. Fix the sentence:
4 gallons = 12 quarts because there are 3 quarts in a gallon.
Corrected: 4 gallons = 16 quarts because there are 4 quarts in a gallon and 4 × 4 = 16.
There are 4 quarts in a gallon, not 3. So 4 gallons equals 4 x 4 = 16 quarts, not 12.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. 1 ton = 2000 pounds
The answer is "2000." One ton always equals 2,000 pounds, so this is the standard conversion to memorize for weight problems.
2. 8 pints = 4 quarts
The answer is "4." Since 2 pints make 1 quart, divide 8 by 2 to get 4 quarts.
3. 3 gallons = 48 cups
The answer is "48." One gallon equals 16 cups, so 3 gallons is 16 x 3 = 48 cups.
4. 96 ounces = 6 pounds
The answer is "6." There are 16 ounces in a pound, so divide 96 by 16 to get 6 pounds.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. A bag of flour weighs 5 pounds. How many ounces is that? Show your work.
Sample answer: Since 1 pound equals 16 ounces, multiply 5 by 16 to get 80 ounces.
Since 1 pound equals 16 ounces, multiply 16 by 5 to convert: 16 x 5 = 80 ounces total.
2. A pitcher holds 2 quarts. How many cups is that? Explain your steps.
Sample answer: Since 1 quart equals 4 cups, multiply 2 by 4 to get 8 cups.
Since 1 quart equals 4 cups, multiply 4 by 2 to convert: 4 x 2 = 8 cups in the pitcher.