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Convert Measurements

Grade 4 · Measurement · Worksheet 1

  1. 3.25 × 8 = ? Answer: ______________
  2. 13 yards = __ feet Answer: ______________
  3. 2.75 × 12 = ? Answer: ______________
  4. Kaia is helping her family build a new fence around their rectangular backyard. The backyard is 15 meters long and 12 meters wide. They need to buy enough fencing to go around the entire yard. How many meters of fencing do they need to buy?
    Answer: ______________
  5. 2.5 × 4 = ? Answer: ______________
  6. Emma is helping her mom measure ribbon for a school craft project. They need 5 meters of red ribbon. The ribbon is sold in centimeters at the store. How many centimeters of red ribbon does Emma need to buy? Answer: ______________
  7. 15 meters = __ centimeters Answer: ______________
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Answer Key & Explanations

Convert Measurements · Grade 4 · Worksheet 1

  1. 3.25 × 8 = ? Answer: 26 Solution: Write the multiplication: 3.25 × 8 Multiply 3.25 by 8. First, multiply the whole number part: 3 × 8 = 24 Multiply the decimal part: 0.25 × 8 = 2 Add the two results together: 24 + 2 = 26 The final answer is 26.
    Full step-by-step solution

    Step 1: Write the multiplication: 3.25 × 8 Step 2: Multiply 3.25 by 8. First, multiply the whole number part: 3 × 8 = 24 Step 3: Multiply the decimal part: 0.25 × 8 = 2 Step 4: Add the two results together: 24 + 2 = 26 Step 5: The final answer is 26.

  2. 13 yards = __ feet Answer: 39 Solution: Recall that 1 yard = 3 feet. To convert 13 yards to feet, multiply 13 by 3. 13 × 3 = 39 Therefore, 13 yards is equal to 39 feet.
    Full step-by-step solution

    Step 1: Recall that 1 yard = 3 feet. Step 2: To convert 13 yards to feet, multiply 13 by 3. Step 3: 13 × 3 = 39 Step 4: Therefore, 13 yards is equal to 39 feet. The answer is 39.

  3. 2.75 × 12 = ? Answer: 33 Solution: Write the multiplication: 2.75 × 12 Multiply 275 × 12 to ignore the decimal temporarily 275 × 10 = 2750 275 × 2 = 550 Add the results: 2750 + 550 = 3300 Since 2.75 has 2 decimal places, move the decimal point 2 places left in 3300 3300 becomes 33.00 The answer is 33
    Full step-by-step solution

    Step 1: Write the multiplication: 2.75 × 12 Step 2: Multiply 275 × 12 to ignore the decimal temporarily Step 3: 275 × 10 = 2750 Step 4: 275 × 2 = 550 Step 5: Add the results: 2750 + 550 = 3300 Step 6: Since 2.75 has 2 decimal places, move the decimal point 2 places left in 3300 Step 7: 3300 becomes 33.00 Step 8: The answer is 33

  4. Kaia is helping her family build a new fence around their rectangular backyard. The backyard is 15 meters long and 12 meters wide. They need to buy enough fencing to go around the entire yard. How many meters of fencing do they need to buy? Answer: 54 Solution: Identify the shape and its dimensions. The backyard is a rectangle that is 15 meters long and 12 meters wide. To find the total distance around a rectangle, we need to find the perimeter.
    Full step-by-step solution

    Step 1: Identify the shape and its dimensions. The backyard is a rectangle that is 15 meters long and 12 meters wide. Step 2: To find the total distance around a rectangle, we need to find the perimeter. The perimeter is the sum of all four sides. Step 3: A rectangle has two pairs of equal sides: two lengths of 15 meters and two widths of 12 meters. Step 4: Add the two lengths: 15 + 15 = 30 meters. Step 5: Add the two widths: 12 + 12 = 24 meters. Step 6: Add them together: 30 + 24 = 54 meters. Step 7: The answer is 54 meters of fencing.

  5. 2.5 × 4 = ? Answer: 10 Solution: We are multiplying 2.5 by 4. This means we are adding the number 2.5 a total of 4 times. Set up the multiplication.
    Full step-by-step solution

    Step 1: Understand the problem. We are multiplying 2.5 by 4. This means we are adding the number 2.5 a total of 4 times. Step 2: Set up the multiplication. We write the problem as: 2.5 × 4 Step 3: Consider the decimal. The number 2.5 is the same as the fraction 25/10, or 25 tenths. Multiplying 25 tenths by 4 is easier to think about. Step 4: Perform the multiplication without the decimal first. Ignore the decimal point for a moment and multiply the numbers as if they were whole numbers. 25 × 4 = 100 Step 5: Reintroduce the decimal point. Since we originally had one digit after the decimal point in the number 2.5, our answer must also have one digit after the decimal point. So, 100 becomes 100.0, but we can simply write this as 100. Step 6: Verify the result. We can check by adding 2.5 four times: 2.5 + 2.5 = 5.0 5.0 + 2.5 = 7.5 7.5 + 2.5 = 10.0 This confirms our result. Step 7: Final Answer. The product of 2.5 and 4 is 10.

  6. Emma is helping her mom measure ribbon for a school craft project. They need 5 meters of red ribbon. The ribbon is sold in centimeters at the store. How many centimeters of red ribbon does Emma need to buy? Answer: 500 centimeters Solution: Recall that 1 meter = 100 centimeters. Emma needs 5 meters of ribbon. Multiply the number of meters by the number of centimeters in each meter: 5 × 100 = 500.
    Full step-by-step solution

    Step 1: Recall that 1 meter = 100 centimeters. Step 2: Emma needs 5 meters of ribbon. Step 3: Multiply the number of meters by the number of centimeters in each meter: 5 × 100 = 500. Step 4: Include the unit: 500 centimeters. The answer is 500 centimeters.

  7. 15 meters = __ centimeters Answer: 1500 Solution: We know that 1 meter equals 100 centimeters. To convert 15 meters to centimeters, multiply 15 by 100. 15 × 100 = 1500 Therefore, 15 meters is equal to 1500 centimeters.
    Full step-by-step solution

    Step 1: We know that 1 meter equals 100 centimeters. Step 2: To convert 15 meters to centimeters, multiply 15 by 100. Step 3: 15 × 100 = 1500 Step 4: Therefore, 15 meters is equal to 1500 centimeters.