Divide 4-Digit by 1-Digit

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

1. A community garden is planting flowers in their new flower beds. They have 1,728 flower bulbs to plant equally in 12 different flower beds. How many bulbs should be planted in each flower bed? Answer: 144 Solution: Identify the total number of flower bulbs: 1,728 Identify the number of flower beds: 12 Divide the total bulbs by the number of beds: 1,728 ÷ 12 Calculate the division: 12 × 144 = 1,728 Therefore, 1,728 ÷ 12 = 144 The answer is 144 bulbs per flower bed.
   Full step-by-step solution

   Step 1: Identify the total number of flower bulbs: 1,728 Step 2: Identify the number of flower beds: 12 Step 3: Divide the total bulbs by the number of beds: 1,728 ÷ 12 Step 4: Calculate the division: 12 × 144 = 1,728 Step 5: Therefore, 1,728 ÷ 12 = 144 The answer is 144 bulbs per flower bed.

2. The school library is organizing books for a reading fair. They have 1,248 books that need to be divided equally among 8 classrooms. How many books will each classroom receive? Answer: 156 Solution: We need to divide 1,248 books equally among 8 classrooms. This means we perform the division: 1,248 ÷ 8. Set up the division.
   Full step-by-step solution

   We need to divide 1,248 books equally among 8 classrooms. This means we perform the division: 1,248 ÷ 8. Step 1: Set up the division. We can use long division. Step 2: Look at the first digit: 1. Since 1 is less than 8, we cannot divide 1 by 8. So we take the first two digits: 12. Step 3: Divide 12 by 8. 8 × 1 = 8, which is less than 12. 8 × 2 = 16, which is too big. So we use 1. Write 1 above the 2 (in the hundreds place of the quotient). Step 4: Multiply 1 × 8 = 8, subtract from 12: 12 − 8 = 4. Step 5: Bring down the next digit, which is 4. Now we have 44. Step 6: Divide 44 by 8. 8 × 5 = 40, which is less than 44. 8 × 6 = 48, which is too big. So we use 5. Write 5 above the 4 (in the tens place of the quotient). Step 7: Multiply 5 × 8 = 40, subtract from 44: 44 − 40 = 4. Step 8: Bring down the last digit, which is 8. Now we have 48. Step 9: Divide 48 by 8. 8 × 6 = 48 exactly. So we use 6. Write 6 above the 8 (in the ones place of the quotient). Step 10: Multiply 6 × 8 = 48, subtract: 48 − 48 = 0. No remainder. So the quotient is 156. Final check: 156 × 8 = 1,248, which matches the total number of books. ANSWER: Each classroom receives 156 books.

3. A factory needs to package 1,152 toy cars into boxes that hold 24 cars each. How many boxes will they need? Answer: 48 Solution: We need to divide the total number of toy cars by the number that fits in each box. Set up the division problem: 1,152 ÷ 24 First, estimate: 24 × 50 = 1,200, which is a little more than 1,152. Try 24 × 48.
   Full step-by-step solution

   Step 1: We need to divide the total number of toy cars by the number that fits in each box. Step 2: Set up the division problem: 1,152 ÷ 24 Step 3: First, estimate: 24 × 50 = 1,200, which is a little more than 1,152. Step 4: Try 24 × 48. Break it down: 24 × 40 = 960, and 24 × 8 = 192. Step 5: Add the partial products: 960 + 192 = 1,152. Step 6: Since 24 × 48 = 1,152, the factory will need 48 boxes. The answer is 48.

4. A rectangular garden is divided into square plots arranged in 6 rows and 8 columns. Each square plot measures 5 feet on each side. If you look at the garden from above, what is the total area of the garden in square feet? Answer: 1200 Solution: Find the total number of square plots in the garden. There are 6 rows and 8 columns, so the total number of plots is 6 × 8 = 48 plots. Find the area of one square plot.
   Full step-by-step solution

   Step 1: Find the total number of square plots in the garden. There are 6 rows and 8 columns, so the total number of plots is 6 × 8 = 48 plots. Step 2: Find the area of one square plot. Each plot is a square with sides of 5 feet, so the area of one plot is 5 × 5 = 25 square feet. Step 3: Find the total area of the garden. Multiply the number of plots by the area of one plot: 48 × 25. Step 4: Calculate 48 × 25. First, 48 × 20 = 960. Then, 48 × 5 = 240. Finally, 960 + 240 = 1200. The total area of the garden is 1200 square feet.

5. A community garden is planting flowers in their new flower beds. They have 1,728 flower seeds to distribute equally among 12 different flower beds. How many seeds should be planted in each flower bed? Answer: 144 Solution: Identify the total number of seeds: 1,728 Identify the number of flower beds: 12 Divide the total seeds by the number of flower beds: 1,728 ÷ 12 Calculate the division: 12 × 144 = 1,728 Therefore, 1,728 ÷ 12 = 144 Each flower bed should receive 144 seeds.
   Full step-by-step solution

   Step 1: Identify the total number of seeds: 1,728 Step 2: Identify the number of flower beds: 12 Step 3: Divide the total seeds by the number of flower beds: 1,728 ÷ 12 Step 4: Calculate the division: 12 × 144 = 1,728 Step 5: Therefore, 1,728 ÷ 12 = 144 Each flower bed should receive 144 seeds.

6. A rectangular garden is divided into 4 equal sections. The total area of the garden is 324 square feet. If you walk along the perimeter of the entire garden, how many feet do you walk if the garden is 27 feet long? Answer: 78 Solution: We have a rectangular garden divided into 4 equal sections. Total area = 324 square feet. Length = 27 feet.
   Full step-by-step solution

   Let's go step by step. --- **Step 1: Understand the problem** We have a rectangular garden divided into 4 equal sections. Total area = 324 square feet. Length = 27 feet. We need the perimeter of the entire garden. --- **Step 2: Find the width of the garden** Area of rectangle = length × width 324 = 27 × width width = 324 / 27 width = 12 feet. So the garden is 27 ft long and 12 ft wide. --- **Step 3: Understand the "divided into 4 equal sections"** The problem says the garden is divided into 4 equal sections. This could be done in two ways: - 2 sections along the length and 2 along the width (like a 2×2 grid) - 4 sections in a row along the length (1×4) - 4 sections stacked along the width (4×1) But the perimeter of the entire garden does not depend on the internal divisions — only on the outer length and width. So the perimeter = 2 × (length + width) = 2 × (27 + 12) = 2 × 39 = 78 feet. --- **Step 4: Conclusion** Walking along the perimeter means going around the outside of the whole garden, not the inside divisions. So the total distance walked = 78 feet. --- **Final answer:** 78

7. Ethan is organizing 7600 baseball cards into albums. Each album page holds 2 cards. How many full pages can Ethan fill? Answer: 3800 Solution: We have 7600 baseball cards total. Each page holds 2 cards. Divide the total cards by the cards per page: 7600 ÷ 2 = 3800.
   Full step-by-step solution

   Step 1: We have 7600 baseball cards total. Step 2: Each page holds 2 cards. Step 3: Divide the total cards by the cards per page: 7600 ÷ 2 = 3800. Step 4: Since we want full pages, Ethan can fill 3800 pages. The answer is 3800.

8. Jordan is organizing 8802 photographs into an album. Each page can hold 18 photographs. If Jordan fills every page completely, how many pages will be filled? Answer: 489 Solution: Divide the total number of photographs (8802) by the number that fit on one page (18). 8802 ÷ 18 = 489. Jordan will fill 489 pages completely.
   Full step-by-step solution

   Step 1: Divide the total number of photographs (8802) by the number that fit on one page (18). Step 2: 8802 ÷ 18 = 489. Jordan will fill 489 pages completely.

9. Leo is organizing 2006 photographs into an album. Each page can hold 17 photographs. If Leo fills every page completely, how many pages will be filled? Answer: 118 Solution: Divide the total number of photographs (2006) by the number that fit on one page (17). 2006 ÷ 17 = 118. Leo will fill 118 pages completely.
   Full step-by-step solution

   Step 1: Divide the total number of photographs (2006) by the number that fit on one page (17). Step 2: 2006 ÷ 17 = 118. Leo will fill 118 pages completely.