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Multiplication Properties

Grade 3 · Mathematics · Worksheet 1

  1. A rectangular swimming pool is drawn on a grid where each square represents 1 square meter. The pool is 25 meters long and 12 meters wide. What is the total area of the swimming pool in square meters?
    Answer: ______________
  2. 72 × 50 = ? Answer: ______________
  3. 6 × 1 = 1 × ? Answer: ______________
  4. A farmer plants apple trees in a rectangular orchard. The orchard has 8 rows of trees, and each row contains 15 trees. If you imagine this arrangement as a grid, how many apple trees are there in total? Answer: ______________
  5. Emma is helping her teacher set up chairs for the school concert. She arranges 24 rows of chairs with 15 chairs in each row. How many chairs does Emma arrange in total? Answer: ______________
  6. A rectangular garden is drawn on grid paper where each square represents 1 square meter. The garden has a length of 24 meters and a width of 15 meters. What is the total area of the garden in square meters?
    Answer: ______________
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Answer Key & Explanations

Multiplication Properties · Grade 3 · Worksheet 1

  1. A rectangular swimming pool is drawn on a grid where each square represents 1 square meter. The pool is 25 meters long and 12 meters wide. What is the total area of the swimming pool in square meters? Answer: 300 Solution: The problem asks for the area of a rectangle. The formula for area of a rectangle is length multiplied by width. The length is given as 25 meters and the width is given as 12 meters.
    Full step-by-step solution

    Step 1: The problem asks for the area of a rectangle. The formula for area of a rectangle is length multiplied by width. Step 2: The length is given as 25 meters and the width is given as 12 meters. Step 3: Multiply the length by the width: 25 × 12 Step 4: First, multiply 25 by 10: 25 × 10 = 250 Step 5: Then, multiply 25 by 2: 25 × 2 = 50 Step 6: Add the two results: 250 + 50 = 300 Step 7: The total area is 300 square meters.

  2. 72 × 50 = ? Answer: 3600 Solution: Start with 72 × 50 Multiply 72 × 5 = 360 Since we multiplied by 5 instead of 50, we need to multiply by 10 to get the correct result 360 × 10 = 3600 Therefore, 72 × 50 = 3600 The answer is 3600.
    Full step-by-step solution

    Step 1: Start with 72 × 50 Step 2: Multiply 72 × 5 = 360 Step 3: Since we multiplied by 5 instead of 50, we need to multiply by 10 to get the correct result Step 4: 360 × 10 = 3600 Step 5: Therefore, 72 × 50 = 3600 The answer is 3600.

  3. 6 × 1 = 1 × ? Answer: 6 Solution: The problem is 6 × 1 = 1 × ? Calculate the left side: 6 × 1 = 6 So the right side must also equal 6: 1 × ? = 6 Since 1 × 6 = 6, the missing number is 6.
    Full step-by-step solution

    Step 1: The problem is 6 × 1 = 1 × ? Step 2: Calculate the left side: 6 × 1 = 6 Step 3: So the right side must also equal 6: 1 × ? = 6 Step 4: Since 1 × 6 = 6, the missing number is 6. Step 5: This shows the commutative property: 6 × 1 = 1 × 6. The answer is 6.

  4. A farmer plants apple trees in a rectangular orchard. The orchard has 8 rows of trees, and each row contains 15 trees. If you imagine this arrangement as a grid, how many apple trees are there in total? Answer: 120 Solution: We are told the orchard has 8 rows of trees, and each row contains 15 trees.
    Full step-by-step solution

    We are told the orchard has 8 rows of trees, and each row contains 15 trees. Step 1: Understand the arrangement. A rectangular orchard with 8 rows and 15 trees per row means the total number of trees is the number of rows multiplied by the number of trees in each row. Step 2: Write the multiplication. Total trees = 8 × 15 Step 3: Break down the multiplication if needed. 8 × 15 = 8 × (10 + 5) = (8 × 10) + (8 × 5) Step 4: Calculate each part. 8 × 10 = 80 8 × 5 = 40 Step 5: Add the results. 80 + 40 = 120 Step 6: State the final answer. So, the total number of apple trees is 120.

  5. Emma is helping her teacher set up chairs for the school concert. She arranges 24 rows of chairs with 15 chairs in each row. How many chairs does Emma arrange in total? Answer: 360 Solution: Emma has 24 rows of chairs Each row has 15 chairs To find the total chairs, multiply the number of rows by chairs per row: 24 × 15 Break it down: 24 × 10 = 240 and 24 × 5 = 120 Add the partial products: 240 + 120 = 360 Emma arranges 360 chairs in total.
    Full step-by-step solution

    Step 1: Emma has 24 rows of chairs Step 2: Each row has 15 chairs Step 3: To find the total chairs, multiply the number of rows by chairs per row: 24 × 15 Step 4: Break it down: 24 × 10 = 240 and 24 × 5 = 120 Step 5: Add the partial products: 240 + 120 = 360 Emma arranges 360 chairs in total.

  6. A rectangular garden is drawn on grid paper where each square represents 1 square meter. The garden has a length of 24 meters and a width of 15 meters. What is the total area of the garden in square meters? Answer: 360 Solution: The area of a rectangle is found by multiplying length × width The length is 24 meters and the width is 15 meters Multiply 24 × 15 First multiply 24 × 10 = 240 Then multiply 24 × 5 = 120 Add the results: 240 + 120 = 360 The area is 360 square meters The answer is 360.
    Full step-by-step solution

    Step 1: The area of a rectangle is found by multiplying length × width Step 2: The length is 24 meters and the width is 15 meters Step 3: Multiply 24 × 15 Step 4: First multiply 24 × 10 = 240 Step 5: Then multiply 24 × 5 = 120 Step 6: Add the results: 240 + 120 = 360 Step 7: The area is 360 square meters The answer is 360.