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Decimal Multiplication

Grade 5 · Decimals · Worksheet 1

  1. 8.47 × 63 = ? Answer: ______________
  2. 4.83 × 27 = ? Answer: ______________
  3. Tom is buying 12 packs of stickers for a school project. Each pack contains 54 stickers. How many stickers does Tom have in total? Answer: ______________
  4. 8.47 × 23 = ? Answer: ______________
  5. Emma draws a rectangular playground on a coordinate grid. The corners are at (0, 0), (8.5, 0), (8.5, 6.4), and (0, 6.4). Each unit on the grid represents 1 meter. What is the area of the playground in square meters? Answer: ______________
  6. 3.75 × 16 = ? Answer: ______________
  7. 8.47 × 36 = ? Answer: ______________
  8. 4.25 × 6 = ? Answer: ______________
  9. Tane is designing a rectangular garden on a coordinate grid. The corners of the garden are at (0, 0), (14.5, 0), (14.5, 11.2), and (0, 11.2). Each unit on the grid represents 1 meter. Tane wants to cover the entire garden with mulch. One bag of mulch covers 8 square meters. How many bags of mulch does Tane need to buy? Answer: ______________
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Answer Key & Explanations

Decimal Multiplication · Grade 5 · Worksheet 1

  1. 8.47 × 63 = ? Answer: 533.61 Solution: Multiply 8.47 × 63 as if they were whole numbers: 847 × 63 847 × 60 = 50,820 847 × 3 = 2,541 Add the partial products: 50,820 + 2,541 = 53,361 Since 8.47 has two decimal places, the product must also have two decimal places Place the decimal point two places from the right: 533.61 The answer is…
    Full step-by-step solution

    Step 1: Multiply 8.47 × 63 as if they were whole numbers: 847 × 63 Step 2: 847 × 60 = 50,820 Step 3: 847 × 3 = 2,541 Step 4: Add the partial products: 50,820 + 2,541 = 53,361 Step 5: Since 8.47 has two decimal places, the product must also have two decimal places Step 6: Place the decimal point two places from the right: 533.61 The answer is 533.61.

  2. 4.83 × 27 = ? Answer: 130.41 Solution: Multiply 4.83 × 27 as if they were whole numbers: 483 × 27 483 × 20 = 9,660 483 × 7 = 3,381 Add the partial products: 9,660 + 3,381 = 13,041 Since 4.83 has two decimal places, the product must also have two decimal places Place the decimal point two places from the right: 130.41 The answer is…
    Full step-by-step solution

    Step 1: Multiply 4.83 × 27 as if they were whole numbers: 483 × 27 Step 2: 483 × 20 = 9,660 Step 3: 483 × 7 = 3,381 Step 4: Add the partial products: 9,660 + 3,381 = 13,041 Step 5: Since 4.83 has two decimal places, the product must also have two decimal places Step 6: Place the decimal point two places from the right: 130.41 The answer is 130.41.

  3. Tom is buying 12 packs of stickers for a school project. Each pack contains 54 stickers. How many stickers does Tom have in total? Answer: 648 Solution: Identify the number of stickers in one pack: 54 stickers. Multiply by the number of packs: 54 × 12 = 648. Tom has 648 stickers in total.
    Full step-by-step solution

    Step 1: Identify the number of stickers in one pack: 54 stickers. Step 2: Multiply by the number of packs: 54 × 12 = 648. Tom has 648 stickers in total.

  4. 8.47 × 23 = ? Answer: 194.81 Solution: Multiply 8.47 × 23 as if they were whole numbers: 847 × 23 847 × 20 = 16,940 847 × 3 = 2,541 Add the partial products: 16,940 + 2,541 = 19,481 Since 8.47 has two decimal places, the product must also have two decimal places Place the decimal point two places from the right: 194.81 The answer is…
    Full step-by-step solution

    Step 1: Multiply 8.47 × 23 as if they were whole numbers: 847 × 23 Step 2: 847 × 20 = 16,940 Step 3: 847 × 3 = 2,541 Step 4: Add the partial products: 16,940 + 2,541 = 19,481 Step 5: Since 8.47 has two decimal places, the product must also have two decimal places Step 6: Place the decimal point two places from the right: 194.81 The answer is 194.81.

  5. Emma draws a rectangular playground on a coordinate grid. The corners are at (0, 0), (8.5, 0), (8.5, 6.4), and (0, 6.4). Each unit on the grid represents 1 meter. What is the area of the playground in square meters? Answer: 54.4 Solution: Find the length of the rectangle by calculating the difference in x-coordinates. The x-coordinates are 0 and 8.5. Length = 8.5 - 0 = 8.5 meters.
    Full step-by-step solution

    Step 1: Find the length of the rectangle by calculating the difference in x-coordinates. The x-coordinates are 0 and 8.5. Length = 8.5 - 0 = 8.5 meters. Step 2: Find the width of the rectangle by calculating the difference in y-coordinates. The y-coordinates are 0 and 6.4. Width = 6.4 - 0 = 6.4 meters. Step 3: Calculate the area by multiplying length and width. Area = 8.5 x 6.4 Step 4: Multiply the numbers. 8.5 x 6 = 51, 8.5 x 0.4 = 3.4. 51 + 3.4 = 54.4 Step 5: The area is 54.4 square meters.

  6. 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.

  7. 8.47 × 36 = ? Answer: 304.92 Solution: Multiply 8.47 × 36 as if they were whole numbers: 847 × 36 847 × 30 = 25,410 847 × 6 = 5,082 Add the partial products: 25,410 + 5,082 = 30,492 Since 8.47 has two decimal places, the product must also have two decimal places Place the decimal point two places from the right: 304.92 The answer is…
    Full step-by-step solution

    Step 1: Multiply 8.47 × 36 as if they were whole numbers: 847 × 36 Step 2: 847 × 30 = 25,410 Step 3: 847 × 6 = 5,082 Step 4: Add the partial products: 25,410 + 5,082 = 30,492 Step 5: Since 8.47 has two decimal places, the product must also have two decimal places Step 6: Place the decimal point two places from the right: 304.92 The answer is 304.92.

  8. 4.25 × 6 = ? Answer: 25.5 Solution: Write the multiplication: 4.25 × 6 Multiply the whole number part: 4 × 6 = 24 Multiply the decimal part: 0.25 × 6 = 1.5 Add the results: 24 + 1.5 = 25.5 Place the decimal point in the answer: 25.5 The final answer is 25.5.
    Full step-by-step solution

    Step 1: Write the multiplication: 4.25 × 6 Step 2: Multiply the whole number part: 4 × 6 = 24 Step 3: Multiply the decimal part: 0.25 × 6 = 1.5 Step 4: Add the results: 24 + 1.5 = 25.5 Step 5: Place the decimal point in the answer: 25.5 The final answer is 25.5.

  9. Tane is designing a rectangular garden on a coordinate grid. The corners of the garden are at (0, 0), (14.5, 0), (14.5, 11.2), and (0, 11.2). Each unit on the grid represents 1 meter. Tane wants to cover the entire garden with mulch. One bag of mulch covers 8 square meters. How many bags of mulch does Tane need to buy? Answer: 21 Solution: Find the length by subtracting the x-coordinates: 14.5 - 0 = 14.5 meters. Find the width by subtracting the y-coordinates: 11.2 - 0 = 11.2 meters. Calculate the area: 14.5 × 11.2.
    Full step-by-step solution

    Step 1: Find the length by subtracting the x-coordinates: 14.5 - 0 = 14.5 meters. Step 2: Find the width by subtracting the y-coordinates: 11.2 - 0 = 11.2 meters. Step 3: Calculate the area: 14.5 × 11.2. Step 4: Multiply: 14.5 × 11 = 159.5, and 14.5 × 0.2 = 2.9. Add: 159.5 + 2.9 = 162.4 square meters. Step 5: Each bag covers 8 square meters. Divide: 162.4 ÷ 8 = 20.3. Step 6: Since 20 bags cover only 160 square meters (20 × 8 = 160), and the garden is 162.4 square meters, Tane needs 21 bags to cover the entire garden. The answer is 21.