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Multi-Digit Operations

Grade 4 · Mathematics · Worksheet 2

  1. Mason is looking at a rectangular piece of land drawn on a grid where each square represents 1 square meter. The land has a length of 127 meters and a width of 82 meters. A square flower bed in one corner measures 17 meters on each side. What is the total area of the land available for planting, excluding the flower bed?
    Answer: ______________
  2. 347 × 26 = ? Answer: ______________
  3. 2,847 + 1,593 = ? Answer: ______________
  4. 12,345 + 67,890 = ? Answer: ______________
  5. Liam is building a rectangular garden in his backyard. The length of the garden is 15 feet and the width is 8 feet. He wants to put a fence around the entire garden. How many feet of fencing does Liam need to buy? Answer: ______________
  6. 3,456 ÷ 24 = ? Answer: ______________
  7. 3,456 - 1,789 = ? Answer: ______________
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Answer Key & Explanations

Multi-Digit Operations · Grade 4 · Worksheet 2

  1. Mason is looking at a rectangular piece of land drawn on a grid where each square represents 1 square meter. The land has a length of 127 meters and a width of 82 meters. A square flower bed in one corner measures 17 meters on each side. What is the total area of the land available for planting, excluding the flower bed? Answer: 10125 Solution: Calculate the total area of the rectangular land. Area = length x width = 127 x 82 First, multiply 127 x 80 = 10,160 Then, multiply 127 x 2 = 254 Add them together: 10,160 + 254 = 10,414 square meters.
    Full step-by-step solution

    Step 1: Calculate the total area of the rectangular land. Area = length x width = 127 x 82 First, multiply 127 x 80 = 10,160 Then, multiply 127 x 2 = 254 Add them together: 10,160 + 254 = 10,414 square meters. Step 2: Calculate the area of the square flower bed. Area = side x side = 17 x 17 = 289 square meters. Step 3: Subtract the flower bed area from the total land area. 10,414 - 289 = 10,125 square meters. The answer is 10125.

  2. 347 × 26 = ? Answer: 9022 Solution: Break 26 into 20 + 6. Multiply 347 by 6. 347 × 6: 7 × 6 = 42 → write 2, carry 4 4 × 6 = 24, plus carried 4 = 28 → write 8, carry 2 3 × 6 = 18, plus carried 2 = 20 → write 20 So 347 × 6 = 2082.
    Full step-by-step solution

    Let's multiply 347 by 26 step by step. Step 1: Break 26 into 20 + 6. We will multiply 347 by 6 first, then 347 by 20, and add the results. Step 2: Multiply 347 by 6. 347 × 6: 7 × 6 = 42 → write 2, carry 4 4 × 6 = 24, plus carried 4 = 28 → write 8, carry 2 3 × 6 = 18, plus carried 2 = 20 → write 20 So 347 × 6 = 2082. Step 3: Multiply 347 by 20. 347 × 20 = 347 × 2 × 10 First, 347 × 2: 7 × 2 = 14 → write 4, carry 1 4 × 2 = 8, plus carried 1 = 9 → write 9 3 × 2 = 6 → write 6 So 347 × 2 = 694. Now multiply by 10: 694 × 10 = 6940. So 347 × 20 = 6940. Step 4: Add the two results. 2082 + 6940: 2082 + 6940 --- 9022 Step 5: Final answer. 347 × 26 = 9022.

  3. 2,847 + 1,593 = ? Answer: 4440 Solution: Write the numbers vertically, aligning by place value. 2,847 + 1,593 Add the ones column: 7 + 3 = 10. Write down the 0 and carry over the 1 to the tens column.
    Full step-by-step solution

    Step 1: Write the numbers vertically, aligning by place value. 2,847 + 1,593 ------- Step 2: Add the ones column: 7 + 3 = 10. Write down the 0 and carry over the 1 to the tens column. Step 3: Add the tens column: 4 + 9 + 1 (carried over) = 14. Write down the 4 and carry over the 1 to the hundreds column. Step 4: Add the hundreds column: 8 + 5 + 1 (carried over) = 14. Write down the 4 and carry over the 1 to the thousands column. Step 5: Add the thousands column: 2 + 1 + 1 (carried over) = 4. Step 6: The final answer is 4,440.

  4. 12,345 + 67,890 = ? Answer: 80,235 Solution: Write the numbers vertically, aligning by place value: 12,345 + 67,890 Add the ones column: 5 + 0 = 5. Write 5. Add the tens column: 4 + 9 = 13.
    Full step-by-step solution

    Step 1: Write the numbers vertically, aligning by place value: 12,345 + 67,890 -------- Step 2: Add the ones column: 5 + 0 = 5. Write 5. Step 3: Add the tens column: 4 + 9 = 13. Write 3, carry over 1 to the hundreds column. Step 4: Add the hundreds column: 3 + 8 + 1 (carried) = 12. Write 2, carry over 1 to the thousands column. Step 5: Add the thousands column: 2 + 7 + 1 (carried) = 10. Write 0, carry over 1 to the ten-thousands column. Step 6: Add the ten-thousands column: 1 + 6 + 1 (carried) = 8. Write 8. Step 7: Combine the digits: 80,235. The answer is 80,235.

  5. Liam is building a rectangular garden in his backyard. The length of the garden is 15 feet and the width is 8 feet. He wants to put a fence around the entire garden. How many feet of fencing does Liam need to buy? Answer: 46 Solution: To find how much fencing Liam needs, we need to calculate the perimeter of the rectangular garden. The perimeter is the total distance around the outside of the rectangle. The formula is: Perimeter = 2 * (length + width) Identify the given measurements from the problem.
    Full step-by-step solution

    To find how much fencing Liam needs, we need to calculate the perimeter of the rectangular garden. The perimeter is the total distance around the outside of the rectangle. Step 1: Recall the formula for the perimeter of a rectangle. The formula is: Perimeter = 2 * (length + width) Step 2: Identify the given measurements from the problem. Length = 15 feet Width = 8 feet Step 3: Substitute the given values into the formula. Perimeter = 2 * (15 + 8) Step 4: Perform the calculation inside the parentheses first. 15 + 8 = 23 Step 5: Multiply the result by 2. 2 * 23 = 46 Step 6: State the final answer with the correct unit. Liam needs to buy 46 feet of fencing.

  6. 3,456 ÷ 24 = ? Answer: 144 Solution: Set up the division: 3,456 ÷ 24 24 goes into 34 one time (24 × 1 = 24) Subtract: 34 - 24 = 10 Bring down the 5: 105 24 goes into 105 four times (24 × 4 = 96) Subtract: 105 - 96 = 9 Bring down the 6: 96 24 goes into 96 four times (24 × 4 = 96) Subtract: 96 - 96 = 0 The quotient is 144 The answer…
    Full step-by-step solution

    Step 1: Set up the division: 3,456 ÷ 24 Step 2: 24 goes into 34 one time (24 × 1 = 24) Step 3: Subtract: 34 - 24 = 10 Step 4: Bring down the 5: 105 Step 5: 24 goes into 105 four times (24 × 4 = 96) Step 6: Subtract: 105 - 96 = 9 Step 7: Bring down the 6: 96 Step 8: 24 goes into 96 four times (24 × 4 = 96) Step 9: Subtract: 96 - 96 = 0 Step 10: The quotient is 144 The answer is 144.

  7. 3,456 - 1,789 = ? Answer: 1667 Solution: Write the numbers vertically aligned by place value 3,456 - 1,789 Start with the ones place: 6 - 9 (can't do, need to regroup) Borrow 1 from the tens place, making 5 tens become 4 tens, and 6 ones become 16 ones 16 - 9 = 7 Move to tens place: 4 - 8 (can't do, need to regroup) Borrow 1 from the…
    Full step-by-step solution

    Step 1: Write the numbers vertically aligned by place value 3,456 - 1,789 Step 2: Start with the ones place: 6 - 9 (can't do, need to regroup) Borrow 1 from the tens place, making 5 tens become 4 tens, and 6 ones become 16 ones 16 - 9 = 7 Step 3: Move to tens place: 4 - 8 (can't do, need to regroup) Borrow 1 from the hundreds place, making 4 hundreds become 3 hundreds, and 4 tens become 14 tens 14 - 8 = 6 Step 4: Move to hundreds place: 3 - 7 (can't do, need to regroup) Borrow 1 from the thousands place, making 3 thousands become 2 thousands, and 3 hundreds become 13 hundreds 13 - 7 = 6 Step 5: Move to thousands place: 2 - 1 = 1 Step 6: Combine all results: 1,667 The answer is 1,667.