Divide 4-Digit by 1-Digit

lessonbunny.com

Answer Key & Explanations

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

1. The school library is organizing its books for a book fair. They have 1,248 books that need to be divided equally among 8 display tables. How many books should be placed on each table? Answer: 156 Solution: We need to divide 1,248 books equally among 8 tables. This means we must 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 tables. This means we must perform the division: 1,248 ÷ 8. Step 1: Set up the division. We can use long division: 8 into 1,248. Step 2: Divide 8 into the first digit (1). 8 does not go into 1, so we consider the first two digits: 12. 8 goes into 12 one time. Write 1 above the 2. 1 × 8 = 8. Subtract 8 from 12: 12 − 8 = 4. Step 3: Bring down the next digit (4). Now we have 44. 8 goes into 44 five times because 8 × 5 = 40. Write 5 above the 4. Subtract 40 from 44: 44 − 40 = 4. Step 4: Bring down the last digit (8). Now we have 48. 8 goes into 48 six times because 8 × 6 = 48. Write 6 above the 8. Subtract 48 from 48: 48 − 48 = 0. Step 5: Read the answer from the top: 156. So, 1,248 ÷ 8 = 156. Final answer: Each table should have 156 books.

2. 1,728 ÷ 12 = ? Answer: 144 Solution: Set up the division: 1,728 ÷ 12 Divide 17 (the first two digits) by 12: 12 × 1 = 12, so 17 - 12 = 5 Bring down the next digit (2) to make 52 Divide 52 by 12: 12 × 4 = 48, so 52 - 48 = 4 Bring down the last digit (8) to make 48 Divide 48 by 12: 12 × 4 = 48, so 48 - 48 = 0 The quotient is 144…
   Full step-by-step solution

   Step 1: Set up the division: 1,728 ÷ 12 Step 2: Divide 17 (the first two digits) by 12: 12 × 1 = 12, so 17 - 12 = 5 Step 3: Bring down the next digit (2) to make 52 Step 4: Divide 52 by 12: 12 × 4 = 48, so 52 - 48 = 4 Step 5: Bring down the last digit (8) to make 48 Step 6: Divide 48 by 12: 12 × 4 = 48, so 48 - 48 = 0 Step 7: The quotient is 144 Therefore, 1,728 ÷ 12 = 144

3. Lucas is organizing 6048 photographs into an album. Each page can hold 4 photographs. If Lucas fills every page completely, how many pages will be filled? Answer: 1512 Solution: Divide the total number of photographs (6048) by the number that fit on one page (4). 6048 ÷ 4 = 1512. Lucas will fill 1512 pages completely.
   Full step-by-step solution

   Step 1: Divide the total number of photographs (6048) by the number that fit on one page (4). Step 2: 6048 ÷ 4 = 1512. Lucas will fill 1512 pages completely.

4. A community garden is planting flowers in rows. They have 1,728 flower bulbs to plant equally across 12 rows. How many bulbs should be planted in each row? Answer: 144 Solution: Identify the total number of bulbs: 1,728 Identify the number of rows: 12 Divide the total bulbs by the number of rows: 1,728 ÷ 12 Calculate the division: 12 × 144 = 1,728 Therefore, 1,728 ÷ 12 = 144 Each row should have 144 flower bulbs.
   Full step-by-step solution

   Step 1: Identify the total number of bulbs: 1,728 Step 2: Identify the number of rows: 12 Step 3: Divide the total bulbs by the number of rows: 1,728 ÷ 12 Step 4: Calculate the division: 12 × 144 = 1,728 Step 5: Therefore, 1,728 ÷ 12 = 144 Each row should have 144 flower bulbs.

5. 1,836 ÷ 6 = ? Answer: 306 Solution: Set up the division: 6 into 1,836. 6 does not go into 1, so consider 18. 6 goes into 18 three times (6 × 3 = 18).
   Full step-by-step solution

   Step 1: Set up the division: 6 into 1,836. Step 2: 6 does not go into 1, so consider 18. 6 goes into 18 three times (6 × 3 = 18). Write 3 above the 8. Step 3: Subtract 18 from 18, which is 0. Bring down the 3. Step 4: 6 does not go into 3, so write 0 above the 3. Bring down the 6. Step 5: 6 goes into 36 six times (6 × 6 = 36). Write 6 above the 6. Step 6: Subtract 36 from 36, which is 0. The answer is 306.

6. A rectangular garden is divided into square plots. There are 8 rows of plots and 12 columns of plots. Each square plot has an area of 4 square meters. What is the total area of the garden in square meters? Answer: 384 Solution: The garden has 8 rows and 12 columns of square plots. Number of plots = rows × columns = 8 × 12 = 96 plots. Find the area of one plot.
   Full step-by-step solution

   Step 1: Understand the garden layout. The garden has 8 rows and 12 columns of square plots. So the total number of plots is: Number of plots = rows × columns = 8 × 12 = 96 plots. Step 2: Find the area of one plot. Each plot has an area of 4 square meters. Step 3: Calculate the total area of the garden. Total area = (Number of plots) × (Area of one plot) Total area = 96 × 4 = 384 square meters. Step 4: Final answer. The total area of the garden is 384 square meters.

7. 1,296 ÷ 6 = ? Answer: 216 Solution: Set up the division: 1,296 ÷ 6 Divide the thousands place: 1 thousand ÷ 6 = 0 thousands, so move to the hundreds place Divide 12 hundreds ÷ 6 = 2 hundreds (write 2 in hundreds place) Bring down the 9 to make 9 tens Divide 9 tens ÷ 6 = 1 ten (write 1 in tens place) with remainder 3 tens Convert…
   Full step-by-step solution

   Step 1: Set up the division: 1,296 ÷ 6 Step 2: Divide the thousands place: 1 thousand ÷ 6 = 0 thousands, so move to the hundreds place Step 3: Divide 12 hundreds ÷ 6 = 2 hundreds (write 2 in hundreds place) Step 4: Bring down the 9 to make 9 tens Step 5: Divide 9 tens ÷ 6 = 1 ten (write 1 in tens place) with remainder 3 tens Step 6: Convert remainder 3 tens to 30 ones, plus the 6 ones = 36 ones Step 7: Divide 36 ones ÷ 6 = 6 ones (write 6 in ones place) Step 8: The final answer is 216

8. A rectangular garden is divided into 4 equal sections. The total area of the garden is 1,248 square feet. If you look at the garden from above, what is the area of just one section? Answer: 312 Solution: The garden is rectangular and divided into 4 equal sections. The total area is 1,248 square feet. We need the area of one section.
   Full step-by-step solution

   Step 1: Understand the problem. The garden is rectangular and divided into 4 equal sections. The total area is 1,248 square feet. We need the area of one section. Step 2: Reasoning. If the garden is divided into 4 equal sections, then the total area is the sum of the areas of all 4 sections. So, the area of one section = total area ÷ number of sections. Step 3: Set up the calculation. Total area = 1,248 square feet Number of equal sections = 4 Area of one section = 1,248 ÷ 4 Step 4: Perform the division. 1,248 ÷ 4 = 312 Step 5: Conclusion. The area of just one section is 312 square feet. Final answer: 312

9. The school cafeteria is preparing for a special lunch event. They have 1,728 cookies to distribute equally among 24 classrooms. How many cookies will each classroom receive? Answer: 72 Solution: Identify the total number of cookies: 1,728 Identify the number of classrooms: 24 Set up the division problem: 1,728 ÷ 24 - 24 × 70 = 1,680 - 1,728 - 1,680 = 48 - 24 × 2 = 48 - 48 - 48 = 0 Add the partial quotients: 70 + 2 = 72 Each classroom will receive 72 cookies.
   Full step-by-step solution

   Step 1: Identify the total number of cookies: 1,728 Step 2: Identify the number of classrooms: 24 Step 3: Set up the division problem: 1,728 ÷ 24 Step 4: Divide step by step: - 24 × 70 = 1,680 - 1,728 - 1,680 = 48 - 24 × 2 = 48 - 48 - 48 = 0 Step 5: Add the partial quotients: 70 + 2 = 72 Each classroom will receive 72 cookies.