Divide 4-Digit by 1-Digit

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

1. 864 ÷ 12 = ? Answer: 72 Solution: Set up the division problem. We want to divide 864 by 12. This means we need to find how many times 12 fits into 864.
   Full step-by-step solution

   Let's solve 864 ÷ 12 step-by-step. Step 1: Set up the division problem. We want to divide 864 by 12. This means we need to find how many times 12 fits into 864. Step 2: Start with the hundreds place. Look at the first digit of 864, which is 8 (in the hundreds place). 12 is larger than 8, so 12 does not fit into 8. We must consider the first two digits instead. Step 3: Consider the first two digits: 86. Now, how many times does 12 fit into 86? We can estimate: 12 × 7 = 84, which is less than 86. 12 × 8 = 96, which is too big. So, 12 fits into 86 a total of 7 times. Step 4: Multiply and subtract. Write 7 above the 6 in 86 (in the tens place of the answer). Multiply: 7 × 12 = 84. Subtract this from 86: 86 - 84 = 2. Step 5: Bring down the next digit. Bring down the next digit from 864, which is 4. This makes the new number 24. Step 6: Divide 24 by 12. How many times does 12 fit into 24? 12 × 2 = 24 exactly. So, write 2 above the 4 in 864 (in the ones place of the answer). Step 7: Multiply and subtract again. Multiply: 2 × 12 = 24. Subtract: 24 - 24 = 0. Step 8: Conclusion. Since the remainder is 0, we have finished. The answer is the number we wrote above the division bracket: 72. Therefore, 864 ÷ 12 = 72.

2. A farmer plants corn in a rectangular field that is divided into 15 equal rows. Each row contains 28 corn plants arranged in a straight line. If you look at the field from above, how many corn plants are there in total? Answer: 420 Solution: The field has 15 rows of corn plants. Each row contains 28 corn plants. To find the total number of plants, multiply the number of rows by the number of plants in each row: 15 × 28.
   Full step-by-step solution

   Step 1: The field has 15 rows of corn plants. Step 2: Each row contains 28 corn plants. Step 3: To find the total number of plants, multiply the number of rows by the number of plants in each row: 15 × 28. Step 4: First, multiply 15 by 20: 15 × 20 = 300. Step 5: Then, multiply 15 by 8: 15 × 8 = 120. Step 6: Add the two results: 300 + 120 = 420. The total number of corn plants is 420.

3. A community garden is planting flowers in their new flower beds. They have 1,728 flower seedlings that need to be divided equally among 12 identical flower beds. How many seedlings should be planted in each flower bed? Answer: 144 Solution: Identify the total number of seedlings: 1,728 Identify the number of flower beds: 12 Divide the total seedlings 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 seedlings.
   Full step-by-step solution

   Step 1: Identify the total number of seedlings: 1,728 Step 2: Identify the number of flower beds: 12 Step 3: Divide the total seedlings 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 seedlings.

4. A rectangular classroom floor is tiled with square tiles. There are 28 tiles along the length of the room and 36 tiles along the width. If you look at the floor from above, how many total tiles cover the entire floor? Answer: 1008 Solution: The problem describes a rectangular floor with tiles arranged in rows and columns. There are 28 tiles along the length (this is like the number of columns).
   Full step-by-step solution

   Step 1: The problem describes a rectangular floor with tiles arranged in rows and columns. Step 2: There are 28 tiles along the length (this is like the number of columns). Step 3: There are 36 tiles along the width (this is like the number of rows). Step 4: To find the total number of tiles, multiply the number of tiles in one row by the number of rows: 28 × 36. Step 5: Calculate 28 × 36: First, 20 × 36 = 720, then 8 × 36 = 288. Step 6: Add the partial products: 720 + 288 = 1008. The total number of tiles is 1008.

5. A farmer plants corn in a rectangular field that is divided into 12 equal rows and 15 equal columns of square plots. If each square plot has an area of 16 square meters, what is the total area of the entire corn field in square meters? Answer: 2880 Solution: Find the total number of square plots in the field. The field has 12 rows and 15 columns, so total plots = 12 × 15 = 180 plots. Find the total area of the field.
   Full step-by-step solution

   Step 1: Find the total number of square plots in the field. The field has 12 rows and 15 columns, so total plots = 12 × 15 = 180 plots. Step 2: Find the total area of the field. Each plot has an area of 16 square meters. Total area = (number of plots) × (area per plot) = 180 × 16. Step 3: Calculate 180 × 16. First, 100 × 16 = 1600 Then, 80 × 16 = 1280 Now add: 1600 + 1280 = 2880 Step 4: State the final answer. The total area of the corn field is 2880 square meters.

6. Nikau is organizing 1581 baseball cards into albums. Each album page holds 3 cards. How many full pages can Nikau fill? Answer: 527 Solution: We have 1581 baseball cards total. Each page holds 3 cards. Divide the total cards by the cards per page: 1581 ÷ 3 = 527.
   Full step-by-step solution

   Step 1: We have 1581 baseball cards total. Step 2: Each page holds 3 cards. Step 3: Divide the total cards by the cards per page: 1581 ÷ 3 = 527. Step 4: Since we want full pages, Nikau can fill 527 pages. The answer is 527.

7. 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, you can see the 4 identical rectangular sections arranged in 2 rows and 2 columns. What is the area of just one section of the garden? Answer: 312 Solution: The garden is rectangular and divided into 4 equal sections arranged in 2 rows and 2 columns. The total area is 1,248 square feet. Since the 4 sections are equal, each section has the same area.
   Full step-by-step solution

   Step 1: Understand the problem. The garden is rectangular and divided into 4 equal sections arranged in 2 rows and 2 columns. The total area is 1,248 square feet. Step 2: Since the 4 sections are equal, each section has the same area. To find the area of one section, divide the total area by the number of sections. Step 3: Write the division. Area of one section = Total area / Number of sections Area of one section = 1,248 / 4 Step 4: Perform the division. 1,248 ÷ 4 = 312 Step 5: State the answer. The area of just one section is 312 square feet.

8. The school library is organizing books for a book fair. They have 1,248 books to arrange equally on 8 large display tables. How many books should be placed on each table? Answer: 156 Solution: We are told there are 1,248 books to be divided equally among 8 tables. This means we need to perform the division: 1,248 ÷ 8. Set up the division.
   Full step-by-step solution

   We are told there are 1,248 books to be divided equally among 8 tables. This means we need to perform the division: 1,248 ÷ 8. Step 1: Set up the division. We can think of it as: how many groups of 8 are in 1,248? Step 2: Divide step-by-step. First, consider the thousands and hundreds digits: 12 hundreds. 8 goes into 12 one time (because 8 × 1 = 8). Write 1 in the hundreds place of the quotient. 12 − 8 = 4. Bring down the next digit (4) from 1,248, making 44. Step 3: Now 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 in the tens place of the quotient. 44 − 40 = 4. Bring down the next digit (8), making 48. Step 4: Divide 48 by 8. 8 × 6 = 48 exactly. Write 6 in the ones place of the quotient. 48 − 48 = 0. Step 5: Combine the quotient digits: Hundreds digit: 1, Tens digit: 5, Ones digit: 6 → 156. So, 1,248 ÷ 8 = 156. Answer: Each table gets 156 books.

9. 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