Multiply 2-Digit by 2-Digit

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Answer Key & Explanations

Multiply 2-Digit by 2-Digit · Grade 4 · Worksheet 1

1. 38 × 52 = ? Answer: 1976 Solution: Multiply 38 by 2 (the ones digit of 52) 38 × 2 = 76 Multiply 38 by 50 (the tens digit of 52) 38 × 50 = 1900 76 + 1900 = 1976 The answer is 1976.
   Full step-by-step solution

   Step 1: Multiply 38 by 2 (the ones digit of 52) 38 × 2 = 76 Step 2: Multiply 38 by 50 (the tens digit of 52) 38 × 50 = 1900 Step 3: Add the two partial products together 76 + 1900 = 1976 The answer is 1976.

2. Emma is designing a rectangular garden in her backyard. She draws it on a grid where each square represents 1 square foot. The garden's longer side measures 35 feet and its shorter side measures 20 feet. What is the total area of Emma's garden in square feet? Answer: 700 Solution: The area of a rectangle is found by multiplying its length by its width. Here, the length is 35 feet and the width is 20 feet. Multiply 35 × 20.
   Full step-by-step solution

   Step 1: The area of a rectangle is found by multiplying its length by its width. Step 2: Here, the length is 35 feet and the width is 20 feet. Step 3: Multiply 35 × 20. Step 4: First, multiply 35 × 2 = 70. Step 5: Since 20 = 2 × 10, add a zero to the product: 70 × 10 = 700. Step 6: The total area is 700 square feet. The answer is 700.

3. Noah is organizing a school field trip to the science museum. He needs to arrange transportation for 36 students and 4 teachers. Each school bus can carry 24 people. How many buses does Noah need to book for the trip? Answer: 2 Solution: Calculate the total number of people going on the trip: 36 students + 4 teachers = 40 people Each bus can carry 24 people Divide the total people by the bus capacity: 40 ÷ 24 = 1 remainder 16 Since we can't leave anyone behind, we need to round up to the next whole number: 1 bus + 1 bus = 2…
   Full step-by-step solution

   Step 1: Calculate the total number of people going on the trip: 36 students + 4 teachers = 40 people Step 2: Each bus can carry 24 people Step 3: Divide the total people by the bus capacity: 40 ÷ 24 = 1 remainder 16 Step 4: Since we can't leave anyone behind, we need to round up to the next whole number: 1 bus + 1 bus = 2 buses Step 5: Check: 2 buses × 24 people = 48 seats, which is enough for 40 people The answer is 2 buses.

4. 57 × 84 = ? Answer: 4788 Solution: Multiply 57 by 4 (the ones digit of 84) 57 × 4 = 228 Multiply 57 by 80 (the tens digit of 84) 57 × 80 = 4560 228 + 4560 = 4788 The answer is 4788.
   Full step-by-step solution

   Step 1: Multiply 57 by 4 (the ones digit of 84) 57 × 4 = 228 Step 2: Multiply 57 by 80 (the tens digit of 84) 57 × 80 = 4560 Step 3: Add the two partial products together 228 + 4560 = 4788 The answer is 4788.

5. Leo is planting a rectangular garden. The garden is 49 feet long and 80 feet wide. What is the area of the garden in square feet? Answer: 3920 Solution: The length is 49 feet and the width is 80 feet. Area = length × width = 49 × 80 = 3920.
   Full step-by-step solution

   Step 1: The length is 49 feet and the width is 80 feet. Step 2: Area = length × width = 49 × 80 = 3920. The answer is 3920 square feet.

6. Mia is collecting seashells at the beach. Each day, Mia collects 69 shells. After 81 days, how many shells has Mia collected in total? Answer: 5589 Solution: Each day, Mia collects 69 shells. After 81 days, the total is 69 × 81 = 5589.
   Full step-by-step solution

   Step 1: Each day, Mia collects 69 shells. Step 2: After 81 days, the total is 69 × 81 = 5589. The answer is 5589 shells.

7. Moana is collecting seashells at the beach. Each day, Moana collects 54 shells. After 88 days, how many shells has Moana collected in total? Answer: 4752 Solution: Each day, Moana collects 54 shells. After 88 days, the total is 54 × 88 = 4752.
   Full step-by-step solution

   Step 1: Each day, Moana collects 54 shells. Step 2: After 88 days, the total is 54 × 88 = 4752. The answer is 4752 shells.