Multiply 4-Digit by 1-Digit

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

1. A factory produces 245 toy cars each day. If the factory operates 6 days a week, how many toy cars does it produce in one week? Answer: 1470 Solution: The factory produces 245 toy cars each day. It operates 6 days a week. We need to find the total number of toy cars produced in one week.
   Full step-by-step solution

   Step 1: Understand the problem. The factory produces 245 toy cars each day. It operates 6 days a week. We need to find the total number of toy cars produced in one week. Step 2: Set up the calculation. Since the factory makes 245 cars per day and works 6 days a week, we multiply: Total cars in one week = 245 × 6. Step 3: Perform the multiplication. First, break it down: 245 × 6 = (200 × 6) + (40 × 6) + (5 × 6). Step 4: Calculate each part. 200 × 6 = 1200 40 × 6 = 240 5 × 6 = 30 Step 5: Add the results. 1200 + 240 = 1440 1440 + 30 = 1470 Step 6: State the final answer. The factory produces 1470 toy cars in one week.

2. A community garden is planting tomato seedlings in rows. Each row can hold 156 seedlings, and there are 24 rows in the garden. How many tomato seedlings can be planted in total? Answer: 3744 Solution: Identify the numbers to multiply: 156 seedlings per row and 24 rows Set up the multiplication: 156 × 24 Multiply 156 by 20: 156 × 20 = 3120 Multiply 156 by 4: 156 × 4 = 624 Add the partial products: 3120 + 624 = 3744 The total number of tomato seedlings is 3744
   Full step-by-step solution

   Step 1: Identify the numbers to multiply: 156 seedlings per row and 24 rows Step 2: Set up the multiplication: 156 × 24 Step 3: Multiply 156 by 20: 156 × 20 = 3120 Step 4: Multiply 156 by 4: 156 × 4 = 624 Step 5: Add the partial products: 3120 + 624 = 3744 Step 6: The total number of tomato seedlings is 3744

3. 1,234 × 56 = ? Answer: 69104 Solution: Multiply 1,234 by 6 (the ones digit of 56): 1,234 × 6 = 7,404 Multiply 1,234 by 50 (the tens digit of 56): 1,234 × 50 = 61,700 Add the two partial products: 7,404 + 61,700 = 69,104 The final answer is 69,104.
   Full step-by-step solution

   Step 1: Multiply 1,234 by 6 (the ones digit of 56): 1,234 × 6 = 7,404 Step 2: Multiply 1,234 by 50 (the tens digit of 56): 1,234 × 50 = 61,700 Step 3: Add the two partial products: 7,404 + 61,700 = 69,104 Step 4: The final answer is 69,104.

4. A school is organizing a field trip and needs to buy snacks for all 348 students. If each student receives 6 cookies, how many cookies does the school need to buy in total? Answer: 2088 Solution: We are told that there are 348 students and each student gets 6 cookies. To find the total number of cookies, we multiply the number of students by the number of cookies per student. Write the multiplication expression.
   Full step-by-step solution

   We are told that there are 348 students and each student gets 6 cookies. To find the total number of cookies, we multiply the number of students by the number of cookies per student. Step 1: Write the multiplication expression. Total cookies = 348 × 6 Step 2: Break down the multiplication for clarity. First, multiply 300 × 6 = 1800 Then, multiply 40 × 6 = 240 Then, multiply 8 × 6 = 48 Step 3: Add the results together. 1800 + 240 = 2040 2040 + 48 = 2088 Step 4: Conclusion. The school needs to buy 2088 cookies in total. Final answer: 2088

5. A rectangular swimming pool is drawn on a grid with length 24 meters and width 15 meters. The pool is surrounded by a tile border that is 2 meters wide on all sides. What is the total area of the tile border in square meters? Answer: 172 Solution: Find the dimensions of the larger rectangle (pool + border) Length = pool length + border on both sides = 24 + 2 + 2 = 28 meters Width = pool width + border on both sides = 15 + 2 + 2 = 19 meters Area = length × width = 28 × 19 28 × 19 = 28 × (20 - 1) = (28 × 20) - (28 × 1) = 560 - 28 = 532…
   Full step-by-step solution

   Step 1: Find the dimensions of the larger rectangle (pool + border) Length = pool length + border on both sides = 24 + 2 + 2 = 28 meters Width = pool width + border on both sides = 15 + 2 + 2 = 19 meters Step 2: Calculate the area of the larger rectangle Area = length × width = 28 × 19 28 × 19 = 28 × (20 - 1) = (28 × 20) - (28 × 1) = 560 - 28 = 532 square meters Step 3: Calculate the area of just the pool Area = length × width = 24 × 15 24 × 15 = 24 × (10 + 5) = (24 × 10) + (24 × 5) = 240 + 120 = 360 square meters Step 4: Subtract to find the border area Border area = total area - pool area = 532 - 360 = 172 square meters The answer is 172.

6. A rectangular swimming pool is drawn with a length of 25 meters and a width of 12 meters. A tile border is placed around the entire pool, following the outside edge. What is the total length of the tile border in meters? Answer: 74 Solution: The problem asks for the total length of the tile border around the pool, which is the perimeter of the rectangle. The formula for the perimeter of a rectangle is: Perimeter = 2 × (length + width) Substitute the given values: Perimeter = 2 × (25 + 12) Calculate inside the parentheses first: 25 +…
   Full step-by-step solution

   Step 1: The problem asks for the total length of the tile border around the pool, which is the perimeter of the rectangle. Step 2: The formula for the perimeter of a rectangle is: Perimeter = 2 × (length + width) Step 3: Substitute the given values: Perimeter = 2 × (25 + 12) Step 4: Calculate inside the parentheses first: 25 + 12 = 37 Step 5: Multiply by 2: 2 × 37 = 74 Step 6: The total length of the tile border is 74 meters.