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Decimal Multiplication

Grade 5 · Decimals · Worksheet 3

  1. A rectangular garden is drawn on a coordinate plane with corners at (0,0), (8.5,0), (8.5,6.2), and (0,6.2). Each unit represents 1 meter. What is the area of the garden in square meters? Answer: ______________
  2. Emma is making friendship bracelets for her class. Each bracelet requires 0.85 meters of string. If she needs to make 24 bracelets for all her classmates, how many meters of string does Emma need in total? Answer: ______________
  3. 9.63 × 42 = ? Answer: ______________
  4. 3.75 × 16 = ? Answer: ______________
  5. 6.48 × 23 = ? Answer: ______________
  6. Emma is making friendship bracelets for her classmates. Each bracelet requires 0.85 meters of colorful yarn. If she wants to make bracelets for 24 classmates, how many meters of yarn does Emma need in total? Answer: ______________
  7. 8.42 × 37 = ? Answer: ______________
  8. Tane is selling cookies to raise money. Each box of cookies costs $4 dollars, and Tane sells 14 boxes. How much money did Tane raise? Answer: ______________
  9. 8.42 × 23 = ? Answer: ______________
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Answer Key & Explanations

Decimal Multiplication · Grade 5 · Worksheet 3

  1. A rectangular garden is drawn on a coordinate plane with corners at (0,0), (8.5,0), (8.5,6.2), and (0,6.2). Each unit represents 1 meter. What is the area of the garden in square meters? Answer: 52.7 Solution: We have a rectangle with corners at (0,0), (8.5,0), (8.5,6.2), and (0,6.2). Each unit on the coordinate plane represents 1 meter. We need to find the area of the rectangle in square meters.
    Full step-by-step solution

    Step 1: Understand the problem We have a rectangle with corners at (0,0), (8.5,0), (8.5,6.2), and (0,6.2). Each unit on the coordinate plane represents 1 meter. We need to find the area of the rectangle in square meters. Step 2: Identify the length and width From the coordinates: - The bottom side is from (0,0) to (8.5,0), so the length is 8.5 meters. - The left side is from (0,0) to (0,6.2), so the width (height) is 6.2 meters. Step 3: Recall the area formula for a rectangle Area = length × width Step 4: Substitute the values Area = 8.5 × 6.2 Step 5: Multiply step-by-step First, multiply 8.5 × 6.2: 8.5 × 6 = 51.0 8.5 × 0.2 = 1.7 Now add: 51.0 + 1.7 = 52.7 Step 6: State the final answer The area of the garden is 52.7 square meters.

  2. Emma is making friendship bracelets for her class. Each bracelet requires 0.85 meters of string. If she needs to make 24 bracelets for all her classmates, how many meters of string does Emma need in total? Answer: 20.4 Solution: Each bracelet requires 0.85 meters of string Emma needs to make 24 bracelets Multiply the length per bracelet by the number of bracelets: 0.85 × 24 First multiply 0.85 × 20 = 17 Then multiply 0.85 × 4 = 3.4 Add the results: 17 + 3.4 = 20.4 Emma needs 20.4 meters of string in total.
    Full step-by-step solution

    Step 1: Each bracelet requires 0.85 meters of string Step 2: Emma needs to make 24 bracelets Step 3: Multiply the length per bracelet by the number of bracelets: 0.85 × 24 Step 4: First multiply 0.85 × 20 = 17 Step 5: Then multiply 0.85 × 4 = 3.4 Step 6: Add the results: 17 + 3.4 = 20.4 Emma needs 20.4 meters of string in total.

  3. 9.63 × 42 = ? Answer: 404.46 Solution: Multiply 9.63 × 42 as if they were whole numbers: 963 × 42 963 × 40 = 38,520 963 × 2 = 1,926 Add the partial products: 38,520 + 1,926 = 40,446 Since 9.63 has two decimal places, the product must also have two decimal places Place the decimal point two places from the right: 404.46 The answer is…
    Full step-by-step solution

    Step 1: Multiply 9.63 × 42 as if they were whole numbers: 963 × 42 Step 2: 963 × 40 = 38,520 Step 3: 963 × 2 = 1,926 Step 4: Add the partial products: 38,520 + 1,926 = 40,446 Step 5: Since 9.63 has two decimal places, the product must also have two decimal places Step 6: Place the decimal point two places from the right: 404.46 The answer is 404.46.

  4. 3.75 × 16 = ? Answer: 60 Solution: Write the multiplication: 3.75 × 16 Multiply 3.75 by 10: 3.75 × 10 = 37.5 Multiply 3.75 by 6: 3.75 × 6 = 22.5 Add the two results: 37.5 + 22.5 = 60 The answer is 60.
    Full step-by-step solution

    Step 1: Write the multiplication: 3.75 × 16 Step 2: Multiply 3.75 by 10: 3.75 × 10 = 37.5 Step 3: Multiply 3.75 by 6: 3.75 × 6 = 22.5 Step 4: Add the two results: 37.5 + 22.5 = 60 The answer is 60.

  5. 6.48 × 23 = ? Answer: 149.04 Solution: Multiply 6.48 × 23 as if they were whole numbers: 648 × 23 648 × 20 = 12,960 648 × 3 = 1,944 Add the partial products: 12,960 + 1,944 = 14,904 Since 6.48 has two decimal places, the product must also have two decimal places Place the decimal point two places from the right: 149.04 The answer is…
    Full step-by-step solution

    Step 1: Multiply 6.48 × 23 as if they were whole numbers: 648 × 23 Step 2: 648 × 20 = 12,960 Step 3: 648 × 3 = 1,944 Step 4: Add the partial products: 12,960 + 1,944 = 14,904 Step 5: Since 6.48 has two decimal places, the product must also have two decimal places Step 6: Place the decimal point two places from the right: 149.04 The answer is 149.04.

  6. Emma is making friendship bracelets for her classmates. Each bracelet requires 0.85 meters of colorful yarn. If she wants to make bracelets for 24 classmates, how many meters of yarn does Emma need in total? Answer: 20.4 Solution: Identify what you know - each bracelet needs 0.85 meters of yarn, and Emma needs to make 24 bracelets.
    Full step-by-step solution

    Step 1: Identify what you know - each bracelet needs 0.85 meters of yarn, and Emma needs to make 24 bracelets. Step 2: Multiply the amount per bracelet by the number of bracelets: 0.85 × 24 Step 3: First multiply 0.85 × 20 = 17 Step 4: Then multiply 0.85 × 4 = 3.4 Step 5: Add the results: 17 + 3.4 = 20.4 Step 6: Emma needs 20.4 meters of yarn in total.

  7. 8.42 × 37 = ? Answer: 311.54 Solution: Multiply 8.42 × 37 as if they were whole numbers: 842 × 37 842 × 30 = 25,260 842 × 7 = 5,894 Add the partial products: 25,260 + 5,894 = 31,154 Since 8.42 has two decimal places, the product must also have two decimal places Place the decimal point two places from the right: 311.54 The answer is…
    Full step-by-step solution

    Step 1: Multiply 8.42 × 37 as if they were whole numbers: 842 × 37 Step 2: 842 × 30 = 25,260 Step 3: 842 × 7 = 5,894 Step 4: Add the partial products: 25,260 + 5,894 = 31,154 Step 5: Since 8.42 has two decimal places, the product must also have two decimal places Step 6: Place the decimal point two places from the right: 311.54 The answer is 311.54.

  8. Tane is selling cookies to raise money. Each box of cookies costs $4 dollars, and Tane sells 14 boxes. How much money did Tane raise? Answer: 56 Solution: Number of boxes sold: 14 boxes. Price per box: $4. Total money raised: 14 × 4 = 56.
    Full step-by-step solution

    Step 1: Number of boxes sold: 14 boxes. Step 2: Price per box: $4. Step 3: Total money raised: 14 × 4 = 56. Tane raised $56.

  9. 8.42 × 23 = ? Answer: 193.66 Solution: Multiply 8.42 by 23 as if they were whole numbers: 842 × 23 842 × 20 = 16,840 842 × 3 = 2,526 Add the partial products: 16,840 + 2,526 = 19,366 Since 8.42 has two decimal places, the product must also have two decimal places Place the decimal point two places from the right: 193.66 The answer is…
    Full step-by-step solution

    Step 1: Multiply 8.42 by 23 as if they were whole numbers: 842 × 23 Step 2: 842 × 20 = 16,840 Step 3: 842 × 3 = 2,526 Step 4: Add the partial products: 16,840 + 2,526 = 19,366 Step 5: Since 8.42 has two decimal places, the product must also have two decimal places Step 6: Place the decimal point two places from the right: 193.66 The answer is 193.66.