Multiply 4-Digit by 1-Digit

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Multiply 4-Digit by 1-Digit · Grade 4 · Worksheet 3

1. A factory produces 1,245 toy cars each day. If the factory operates for 23 days this month, how many toy cars will it produce in total? Answer: 28635 Solution: The factory produces 1,245 toy cars each day and operates for 23 days.
   Full step-by-step solution

   Step 1: The factory produces 1,245 toy cars each day and operates for 23 days. Step 2: To find the total number of toy cars, multiply the daily production by the number of days: 1,245 × 23 Step 3: First, multiply 1,245 by 20: 1,245 × 20 = 24,900 Step 4: Then, multiply 1,245 by 3: 1,245 × 3 = 3,735 Step 5: Add the two results together: 24,900 + 3,735 = 28,635 Step 6: The factory will produce 28,635 toy cars in total this month.

2. A rectangular garden is drawn with length 15 meters and width 8 meters. If you walk around the entire edge of the garden, how many meters will you walk? Answer: 46 Solution: We are asked to find the total distance walked around the edge of a rectangular garden. This means we need the perimeter of the rectangle. Perimeter = 2 × (length + width) Identify the given measurements.
   Full step-by-step solution

   We are asked to find the total distance walked around the edge of a rectangular garden. This means we need the perimeter of the rectangle. Step 1: Recall the formula for the perimeter of a rectangle. Perimeter = 2 × (length + width) Step 2: Identify the given measurements. Length = 15 meters Width = 8 meters Step 3: Substitute the values into the formula. Perimeter = 2 × (15 + 8) Step 4: First, add the length and width. 15 + 8 = 23 Step 5: Multiply by 2. 2 × 23 = 46 Step 6: State the final answer with units. The distance walked around the entire edge is 46 meters. Final answer: 46

3. Mason is looking at a rectangular park on a map. The park has a length of 1,372 meters and a width of 7 meters. What is the area of the park in square meters? Answer: 9,604 Solution: The area of a rectangle is found by multiplying the length by the width. Here, the length is 1,372 meters and the width is 7 meters. Step 2: Multiply 1,372 by 7.
   Full step-by-step solution

   Step 1: The area of a rectangle is found by multiplying the length by the width. Here, the length is 1,372 meters and the width is 7 meters. Step 2: Multiply 1,372 by 7. Break 1,372 into 1,000 + 300 + 70 + 2. Step 3: Multiply each part by 7: 1,000 × 7 = 7,000; 300 × 7 = 2,100; 70 × 7 = 490; 2 × 7 = 14. Step 4: Add the results: 7,000 + 2,100 = 9,100; 9,100 + 490 = 9,590; 9,590 + 14 = 9,604. The area of the park is 9,604 square meters.

4. A community center is organizing a summer reading program and needs to order books for 4th grade participants. There are 36 classrooms participating, and each classroom needs 24 books for their reading corner. How many books does the community center need to order in total? Answer: 864 Solution: Identify the number of classrooms: 36 Identify the number of books needed per classroom: 24 Multiply to find the total number of books: 36 × 24 Break down the multiplication: 36 × 20 = 720 Then multiply: 36 × 4 = 144 Add the partial products: 720 + 144 = 864 The community center needs to order…
   Full step-by-step solution

   Step 1: Identify the number of classrooms: 36 Step 2: Identify the number of books needed per classroom: 24 Step 3: Multiply to find the total number of books: 36 × 24 Step 4: Break down the multiplication: 36 × 20 = 720 Step 5: Then multiply: 36 × 4 = 144 Step 6: Add the partial products: 720 + 144 = 864 Step 7: The community center needs to order 864 books in total.

5. A school is organizing a field trip and needs to buy snacks for all 348 students. If each student receives 4 cookies, how many cookies does the school need to buy in total? Answer: 1392 Solution: We have 348 students, and each student gets 4 cookies. We need to find the total number of cookies. Identify the operation.
   Full step-by-step solution

   Step 1: Understand the problem. We have 348 students, and each student gets 4 cookies. We need to find the total number of cookies. Step 2: Identify the operation. Since each student gets the same number of cookies, we multiply the number of students by the number of cookies per student. Step 3: Write the multiplication. Total cookies = 348 × 4 Step 4: Break down the multiplication. First, multiply 4 by the ones digit of 348: 4 × 8 = 32 Write down 2, carry over 3. Step 5: Multiply 4 by the tens digit of 348: 4 × 4 = 16 Add the carried over 3: 16 + 3 = 19 Write down 9, carry over 1. Step 6: Multiply 4 by the hundreds digit of 348: 4 × 3 = 12 Add the carried over 1: 12 + 1 = 13 Write down 13. Step 7: Combine the digits. From steps 4–6, we have: 13, then 9, then 2 → 1392. Step 8: Conclusion. The school needs to buy 1392 cookies in total.

6. Hana is packing care packages for a community food drive. Each care package contains 3,285 food items. If Hana packs 7 care packages, how many food items will she pack in total? Answer: 22,995 Solution: Identify the numbers in the problem. Each care package has 3,285 food items, and Hana packs 7 care packages.
   Full step-by-step solution

   Step 1: Identify the numbers in the problem. Each care package has 3,285 food items, and Hana packs 7 care packages. Step 2: To find the total number of food items, multiply the number of items per package by the number of packages: 3,285 × 7. Step 3: Multiply 3,285 by 7. Start with the ones: 7 × 5 = 35. Write 5 in the ones place and carry over 3 tens. Step 4: Multiply the tens: 7 × 8 = 56, plus the carried 3 = 59. Write 9 in the tens place and carry over 5 hundreds. Step 5: Multiply the hundreds: 7 × 2 = 14, plus the carried 5 = 19. Write 9 in the hundreds place and carry over 1 thousand. Step 6: Multiply the thousands: 7 × 3 = 21, plus the carried 1 = 22. Write 22 in the thousands and ten-thousands places. Step 7: The result is 22,995. Final Answer: Hana packs 22,995 food items in total.