Rectangular Arrays

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Rectangular Arrays · Grade 2 · Worksheet 1

1. 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.

2. A farmer plants apple trees in rows. There are 8 rows of trees and each row has 12 trees. How many apple trees are there in total? Answer: 96 Solution: We are told there are 8 rows of apple trees, and each row has 12 trees. To find the total number of trees, we multiply the number of rows by the number of trees in each row. Write down the multiplication.
   Full step-by-step solution

   We are told there are 8 rows of apple trees, and each row has 12 trees. To find the total number of trees, we multiply the number of rows by the number of trees in each row. Step 1: Write down the multiplication. Total trees = 8 rows × 12 trees per row Step 2: Break it down for clarity. 8 × 12 = 8 × (10 + 2) = (8 × 10) + (8 × 2) = 80 + 16 Step 3: Add the results. 80 + 16 = 96 Step 4: State the final answer. There are 96 apple trees in total.

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

   Step 1: The array has 6 rows. Step 2: Each row has 4 columns, so there are 4 items in each row. Step 3: To find the total, add the number of items in each row: 4 + 4 + 4 + 4 + 4 + 4. Step 4: 4 + 4 = 8, 8 + 4 = 12, 12 + 4 = 16, 16 + 4 = 20, 20 + 4 = 24. The answer is 24.

4. Liam is organizing his sticker collection. He puts 24 stickers on one page and 35 stickers on another page. How many stickers does Liam have in total? Answer: 59 Solution: Identify the number of stickers on each page. Liam puts 24 stickers on the first page and 35 stickers on the second page. Understand what is being asked.
   Full step-by-step solution

   Let's solve this step by step. Step 1: Identify the number of stickers on each page. Liam puts 24 stickers on the first page and 35 stickers on the second page. Step 2: Understand what is being asked. We need to find the total number of stickers, which means we must add the stickers from both pages. Step 3: Write the addition expression. Total stickers = 24 + 35 Step 4: Perform the addition. First, add the ones place: 4 + 5 = 9 Then, add the tens place: 20 + 30 = 50 Now, combine: 50 + 9 = 59 Step 5: Conclusion. Liam has 59 stickers in total. Answer: 59

5. Liam is arranging his toy cars in a rectangular display. He puts 6 cars in each row and makes 4 rows. How many toy cars does Liam have in total? Answer: 24 Solution: Liam is arranging his toy cars in a rectangular display. There are 6 cars in each row. There are 4 rows.
   Full step-by-step solution

   Liam is arranging his toy cars in a rectangular display. Step 1: There are 6 cars in each row. Step 2: There are 4 rows. Step 3: To find the total number of cars, multiply the number of cars per row by the number of rows. Step 4: Calculation: 6 cars/row × 4 rows = 24 cars. Step 5: Therefore, Liam has 24 toy cars in total.