Multiply 2-Digit by 2-Digit

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Multiply 2-Digit by 2-Digit · Grade 4 · Worksheet 2

1. Anna is planting a rectangular garden. The garden is 55 feet long and 50 feet wide. What is the area of the garden in square feet? Answer: 2750 Solution: The length is 55 feet and the width is 50 feet. Area = length × width = 55 × 50 = 2750.
   Full step-by-step solution

   Step 1: The length is 55 feet and the width is 50 feet. Step 2: Area = length × width = 55 × 50 = 2750. The answer is 2750 square feet.

2. A rectangular garden is drawn on a grid with length 15 meters and width 12 meters. If each square meter of the grid represents one square meter of actual garden space, what is the total area of the garden? Answer: 180 Solution: We have a rectangular garden with length 15 meters and width 12 meters. Each square meter on the grid represents one actual square meter. We need to find the total area.
   Full step-by-step solution

   Step 1: Understand the problem. We have a rectangular garden with length 15 meters and width 12 meters. Each square meter on the grid represents one actual square meter. We need to find the total area. Step 2: Recall the formula for the area of a rectangle. Area = length × width Step 3: Substitute the given values into the formula. Length = 15 meters Width = 12 meters Area = 15 × 12 Step 4: Perform the multiplication. First, multiply 15 by 10: 15 × 10 = 150 Then, multiply 15 by 2: 15 × 2 = 30 Now add the results: 150 + 30 = 180 Step 5: State the final answer with units. The total area of the garden is 180 square meters. Final Answer: 180

3. Liam is organizing a school bake sale. He has 24 boxes of cookies, and each box contains 18 cookies. How many cookies does Liam have in total for the bake sale? Answer: 432 Solution: To find the total number of cookies, we need to multiply the number of boxes by the number of cookies in each box. Identify the numbers from the problem. - Number of boxes = 24 - Number of cookies per box = 18 Write the multiplication expression.
   Full step-by-step solution

   To find the total number of cookies, we need to multiply the number of boxes by the number of cookies in each box. Step 1: Identify the numbers from the problem. - Number of boxes = 24 - Number of cookies per box = 18 Step 2: Write the multiplication expression. Total cookies = 24 × 18 Step 3: Break down the multiplication for easier calculation. We can split 18 into 10 + 8. So, 24 × 18 = 24 × (10 + 8) Step 4: Use the distributive property to multiply. First, multiply 24 by 10: 24 × 10 = 240 Next, multiply 24 by 8: 24 × 8 = 192 Step 5: Add the two results together. 240 + 192 = 432 Step 6: State the final answer. Therefore, Liam has 432 cookies in total for the bake sale.

4. Ava is helping her teacher set up for the science fair. She needs to arrange 36 display boards in rows. If each row can hold 12 display boards, how many rows will Ava need to set up all the boards? Answer: 3 Solution: Ava has 36 display boards total. Each row can hold 12 display boards.
   Full step-by-step solution

   Step 1: Ava has 36 display boards total. Step 2: Each row can hold 12 display boards. Step 3: To find how many rows are needed, divide the total number of boards by the number that fits in each row: 36 ÷ 12 Step 4: 36 ÷ 12 = 3 Ava will need 3 rows to set up all the display boards.

5. Noah is organizing a school field trip to the science museum. Each school bus can carry 36 students, and they need to transport 15 full buses. How many students can be transported to the museum in total? Answer: 540 Solution: Each bus carries 36 students There are 15 buses Multiply the number of students per bus by the number of buses: 36 × 15 Break it down: 36 × 10 = 360 Then 36 × 5 = 180 Add the partial products: 360 + 180 = 540 The total number of students is 540.
   Full step-by-step solution

   Step 1: Each bus carries 36 students Step 2: There are 15 buses Step 3: Multiply the number of students per bus by the number of buses: 36 × 15 Step 4: Break it down: 36 × 10 = 360 Step 5: Then 36 × 5 = 180 Step 6: Add the partial products: 360 + 180 = 540 Step 7: The total number of students is 540.