Multiplication Concept

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Answer Key & Explanations

Multiplication Concept · Grade 3 · Worksheet 2

1. 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 = ? × 8 Answer: 8 Solution: Count the number of times 8 is added: 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 has 8 groups of 8. Repeated addition of the same number can be written as multiplication: 8 groups of 8 means 8 × 8.
   Full step-by-step solution

   Step 1: Count the number of times 8 is added: 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 has 8 groups of 8. Step 2: Repeated addition of the same number can be written as multiplication: 8 groups of 8 means 8 × 8. Step 3: So the missing number is 8. The answer is 8.

2. A rectangular garden is planted with flowers in a grid pattern. There are 15 rows of flowers, and each row contains 24 flowers. If you visualize this garden as an array with rows and columns, how many flowers are there in total? Answer: 360 Solution: The garden has 15 rows. Each row has 24 flowers. To find the total number of flowers, multiply the number of rows by the number of flowers in each row: 15 × 24.
   Full step-by-step solution

   Step 1: The garden has 15 rows. Step 2: Each row has 24 flowers. Step 3: To find the total number of flowers, multiply the number of rows by the number of flowers in each row: 15 × 24. Step 4: Calculate 15 × 24. First, break it down: 15 × 20 = 300, and 15 × 4 = 60. Step 5: Add the two results: 300 + 60 = 360. The total number of flowers is 360.

3. The city library is organizing a summer reading program. They want to give each of the 8 participating schools 125 books to distribute to students. How many books does the library need to prepare in total? Answer: 1000 Solution: Identify what we're finding: total number of books There are 8 schools, and each school gets 125 books This means we need to add 125 eight times: 125 + 125 + 125 + 125 + 125 + 125 + 125 + 125 125 + 125 = 250 250 + 125 = 375 375 + 125 = 500 500 + 125 = 625 625 + 125 = 750 750 + 125 = 875 875 +…
   Full step-by-step solution

   Step 1: Identify what we're finding: total number of books Step 2: There are 8 schools, and each school gets 125 books Step 3: This means we need to add 125 eight times: 125 + 125 + 125 + 125 + 125 + 125 + 125 + 125 Step 4: Calculate step by step: 125 + 125 = 250 250 + 125 = 375 375 + 125 = 500 500 + 125 = 625 625 + 125 = 750 750 + 125 = 875 875 + 125 = 1000 Step 5: The library needs to prepare 1000 books in total.

4. A baker arranges cupcakes on a rectangular tray. There are 8 rows of cupcakes, and each row has 9 cupcakes. If you visualize this tray as an array with rows and columns, how many cupcakes are there in total? Answer: 72 Solution: The problem describes a rectangular array with 8 rows and 9 cupcakes in each row. To find the total number of cupcakes, multiply the number of rows by the number of cupcakes in each row.
   Full step-by-step solution

   Step 1: The problem describes a rectangular array with 8 rows and 9 cupcakes in each row. Step 2: To find the total number of cupcakes, multiply the number of rows by the number of cupcakes in each row. Step 3: 8 rows × 9 cupcakes per row = 72 cupcakes. The answer is 72.

5. A rectangular swimming pool has a length of 25 meters and a width of 12 meters. If you visualize the pool's surface as a grid of 1-meter squares, how many total 1-meter squares would cover the entire pool surface? Answer: 300 Solution: The pool length is 25 meters, so there would be 25 squares along the length. The pool width is 12 meters, so there would be 12 squares along the width.
   Full step-by-step solution

   Step 1: The pool length is 25 meters, so there would be 25 squares along the length. Step 2: The pool width is 12 meters, so there would be 12 squares along the width. Step 3: To find the total number of squares, multiply the number of squares along the length by the number of squares along the width: 25 × 12 Step 4: Calculate 25 × 10 = 250 Step 5: Calculate 25 × 2 = 50 Step 6: Add the partial products: 250 + 50 = 300 The answer is 300.