Rectangular Arrays

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Answer Key & Explanations

Rectangular Arrays · Grade 2 · Worksheet 1

1. Ms. Chen's class is arranging chairs for the school play. They set up 7 rows with 8 chairs in each row. How many chairs are there in total? Answer: 56 Solution: There are 7 rows of chairs. Each row has 8 chairs. To find the total number of chairs, multiply the number of rows by the number of chairs in each row: 7 × 8.
   Full step-by-step solution

   Step 1: There are 7 rows of chairs. Step 2: Each row has 8 chairs. Step 3: To find the total number of chairs, multiply the number of rows by the number of chairs in each row: 7 × 8. Step 4: 7 × 8 = 56. The answer is 56.

2. This array has 9 rows and 9 columns. How many total? Answer: 81 Solution: The array has 9 rows. Each row has 9 columns, so each row has 9 items.
   Full step-by-step solution

   Step 1: The array has 9 rows. Step 2: Each row has 9 columns, so each row has 9 items. Step 3: To find the total, add the number of items in each row: 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 Step 4: 9 + 9 = 18, then 18 + 9 = 27, then 27 + 9 = 36, then 36 + 9 = 45, then 45 + 9 = 54, then 54 + 9 = 63, then 63 + 9 = 72, then 72 + 9 = 81 The answer is 81.

3. This array has 4 rows and 6 columns. How many total? Answer: 24 Solution: The array has 4 rows. Each row has 6 columns, so there are 6 items in each row. To find the total, add 6 + 6 + 6 + 6.
   Full step-by-step solution

   Step 1: The array has 4 rows. Step 2: Each row has 6 columns, so there are 6 items in each row. Step 3: To find the total, add 6 + 6 + 6 + 6. Step 4: 6 + 6 = 12, 12 + 6 = 18, 18 + 6 = 24. The answer is 24.

4. A classroom has desks arranged in 7 rows. Each row has 9 desks. How many desks are in the classroom in total? Answer: 63 Solution: There are 7 rows of desks. Each row has 9 desks. To find the total number of desks, multiply the number of rows by the number of desks in each row: 7 × 9.
   Full step-by-step solution

   Step 1: There are 7 rows of desks. Step 2: Each row has 9 desks. Step 3: To find the total number of desks, multiply the number of rows by the number of desks in each row: 7 × 9. Step 4: 7 × 9 = 63. The answer is 63.

5. A farmer plants apple trees in 4 rows. Each row has 6 trees. How many apple trees are there in total? Answer: 24 Solution: The farmer planted apple trees in 4 rows. Each row has 6 trees. We need to find the total number of trees.
   Full step-by-step solution

   Let's solve this step-by-step. Step 1: Understand the problem. The farmer planted apple trees in 4 rows. Each row has 6 trees. We need to find the total number of trees. Step 2: Decide on the operation. When we have equal groups, we can use multiplication. Total trees = number of rows × number of trees in each row. Step 3: Write the multiplication. Number of rows = 4 Trees per row = 6 Total trees = 4 × 6 Step 4: Perform the multiplication. 4 × 6 = 24 Step 5: State the final answer. There are 24 apple trees in total.

6. Aroha arranged her stickers in an array with 3 rows and 5 columns. How many stickers does she have? Answer: 15 Solution: The array has 3 rows. Each row has 5 columns, so each row has 5 stickers. To find the total, add the number of stickers in each row: 5 + 5 + 5 5 + 5 = 10, then 10 + 5 = 15 The answer is 15.
   Full step-by-step solution

   Step 1: The array has 3 rows. Step 2: Each row has 5 columns, so each row has 5 stickers. Step 3: To find the total, add the number of stickers in each row: 5 + 5 + 5 Step 4: 5 + 5 = 10, then 10 + 5 = 15 The answer is 15.

7. Olivia arranged her toy cars in an array with 5 rows and 5 columns. How many cars are there? Answer: 25 Solution: The array has 5 rows. Each row has 5 columns, so each row has 5 cars.
   Full step-by-step solution

   Step 1: The array has 5 rows. Step 2: Each row has 5 columns, so each row has 5 cars. Step 3: To find the total, add the number of cars in each row: 5 + 5 + 5 + 5 + 5 Step 4: 5 + 5 = 10, then 10 + 5 = 15, then 15 + 5 = 20, then 20 + 5 = 25 The answer is 25.