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Multiply 2-Digit by 2-Digit

Grade 4 · Mathematics · Worksheet 3

  1. Noah is organizing a school field trip to the zoo. He needs to pack lunches for all the students. Each lunch contains 1 sandwich, 1 juice box, and 1 apple. If there are 36 students in the fourth grade and 28 students in the fifth grade going on the trip, how many total lunches does Noah need to pack? Answer: ______________
  2. A rectangular swimming pool is drawn on a grid. The longer side measures 28 units and the shorter side measures 16 units. If each unit on the grid represents 3 feet, what is the actual area of the swimming pool in square feet? Answer: ______________
  3. Liam is organizing his baseball card collection into albums. Each album page holds 24 cards, and Liam has 15 full pages. How many baseball cards does Liam have in his albums? Answer: ______________
  4. A rectangular garden is drawn on a grid. The longer sides are 24 units long and the shorter sides are 15 units long. What is the total area of the garden in square units? Answer: ______________
  5. 47 × 58 = ? Answer: ______________
  6. 42 × 36 = ? Answer: ______________
  7. 78 × 46 = ? Answer: ______________
  8. 52 × 37 = ? Answer: ______________
  9. 38 × 64 = ? Answer: ______________
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Answer Key & Explanations

Multiply 2-Digit by 2-Digit · Grade 4 · Worksheet 3

  1. Noah is organizing a school field trip to the zoo. He needs to pack lunches for all the students. Each lunch contains 1 sandwich, 1 juice box, and 1 apple. If there are 36 students in the fourth grade and 28 students in the fifth grade going on the trip, how many total lunches does Noah need to pack? Answer: 64 Solution: Identify how many fourth grade students are going: 36 Identify how many fifth grade students are going: 28 Add the number of students from both grades to find the total number of lunches needed.
    Full step-by-step solution

    Step 1: Identify how many fourth grade students are going: 36 Step 2: Identify how many fifth grade students are going: 28 Step 3: Add the number of students from both grades to find the total number of lunches needed. Step 4: 36 + 28 = 64 Noah needs to pack 64 lunches in total.

  2. A rectangular swimming pool is drawn on a grid. The longer side measures 28 units and the shorter side measures 16 units. If each unit on the grid represents 3 feet, what is the actual area of the swimming pool in square feet? Answer: 4032 Solution: Area on grid = length × width = 28 × 16 28 × 16 = (28 × 10) + (28 × 6) = 280 + 168 = 448 square units Each grid unit represents 3 feet, so each square unit represents 3 × 3 = 9 square feet Actual area = area on grid × scale factor for area Actual area = 448 × 9 = 4032 square feet The answer is 4032.
    Full step-by-step solution

    Step 1: Find the area of the rectangle on the grid Area on grid = length × width = 28 × 16 28 × 16 = (28 × 10) + (28 × 6) = 280 + 168 = 448 square units Step 2: Apply the scale factor Each grid unit represents 3 feet, so each square unit represents 3 × 3 = 9 square feet Step 3: Calculate the actual area Actual area = area on grid × scale factor for area Actual area = 448 × 9 = 4032 square feet The answer is 4032.

  3. Liam is organizing his baseball card collection into albums. Each album page holds 24 cards, and Liam has 15 full pages. How many baseball cards does Liam have in his albums? Answer: 360 Solution: We are told that each album page holds 24 cards, and Liam has 15 full pages. To find the total number of cards, we multiply the number of pages by the number of cards per page. Identify the number of cards per page.
    Full step-by-step solution

    We are told that each album page holds 24 cards, and Liam has 15 full pages. To find the total number of cards, we multiply the number of pages by the number of cards per page. Step 1: Identify the number of cards per page. Cards per page = 24 Step 2: Identify the number of pages. Number of pages = 15 Step 3: Multiply to find the total number of cards. Total cards = 24 × 15 Step 4: Break the multiplication into simpler parts if needed. 24 × 15 = 24 × (10 + 5) = (24 × 10) + (24 × 5) = 240 + 120 = 360 Step 5: Conclusion. Liam has 360 baseball cards in his albums. Final answer: 360

  4. A rectangular garden is drawn on a grid. The longer sides are 24 units long and the shorter sides are 15 units long. What is the total area of the garden in square units? Answer: 360 Solution: We have a rectangular garden. The longer sides are 24 units long, and the shorter sides are 15 units long. We need to find the total area.
    Full step-by-step solution

    Step 1: Understand the problem. We have a rectangular garden. The longer sides are 24 units long, and the shorter sides are 15 units long. We need to find the total area. Step 2: Recall the formula for the area of a rectangle. Area = length × width. Step 3: Identify the length and width from the problem. Longer side = 24 units (this can be considered the length). Shorter side = 15 units (this can be considered the width). Step 4: Apply the formula. Area = 24 × 15. Step 5: Perform the multiplication. First, multiply 24 by 10: 24 × 10 = 240. Then, multiply 24 by 5: 24 × 5 = 120. Add the results: 240 + 120 = 360. Step 6: State the final answer. The total area of the garden is 360 square units.

  5. 47 × 58 = ? Answer: 2726 Solution: Multiply 47 by 8 (the ones digit of 58) 47 × 8 = 376 Multiply 47 by 50 (the tens digit of 58) 47 × 50 = 2350 376 + 2350 = 2726 The answer is 2726.
    Full step-by-step solution

    Step 1: Multiply 47 by 8 (the ones digit of 58) 47 × 8 = 376 Step 2: Multiply 47 by 50 (the tens digit of 58) 47 × 50 = 2350 Step 3: Add the two partial products together 376 + 2350 = 2726 The answer is 2726.

  6. 42 × 36 = ? Answer: 1512 Solution: Multiply 42 by 6 (the ones digit of 36). 42 × 6 = 252. Multiply 42 by 30 (the tens digit of 36).
    Full step-by-step solution

    Step 1: Multiply 42 by 6 (the ones digit of 36). 42 × 6 = 252. Step 2: Multiply 42 by 30 (the tens digit of 36). 42 × 30 = 1260. Step 3: Add the two partial products together. 252 + 1260 = 1512. The answer is 1512.

  7. 78 × 46 = ? Answer: 3588 Solution: Multiply 78 by 6 (the ones digit of 46) 78 × 6 = 468 Multiply 78 by 40 (the tens digit of 46) 78 × 40 = 3120 468 + 3120 = 3588 The answer is 3588.
    Full step-by-step solution

    Step 1: Multiply 78 by 6 (the ones digit of 46) 78 × 6 = 468 Step 2: Multiply 78 by 40 (the tens digit of 46) 78 × 40 = 3120 Step 3: Add the two partial products together 468 + 3120 = 3588 The answer is 3588.

  8. 52 × 37 = ? Answer: 1924 Solution: Multiply 52 by 7 (the ones digit of 37) 52 × 7 = 364 Multiply 52 by 30 (the tens digit of 37) 52 × 30 = 1560 364 + 1560 = 1924 The answer is 1924.
    Full step-by-step solution

    Step 1: Multiply 52 by 7 (the ones digit of 37) 52 × 7 = 364 Step 2: Multiply 52 by 30 (the tens digit of 37) 52 × 30 = 1560 Step 3: Add the two partial products together 364 + 1560 = 1924 The answer is 1924.

  9. 38 × 64 = ? Answer: 2432 Solution: Multiply 38 by 4 (the ones digit of 64) 38 × 4 = 152 Multiply 38 by 60 (the tens digit of 64) 38 × 60 = 2280 152 + 2280 = 2432 The answer is 2432.
    Full step-by-step solution

    Step 1: Multiply 38 by 4 (the ones digit of 64) 38 × 4 = 152 Step 2: Multiply 38 by 60 (the tens digit of 64) 38 × 60 = 2280 Step 3: Add the two partial products together 152 + 2280 = 2432 The answer is 2432.