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Multi-Digit Operations

Grade 4 · Mathematics · Worksheet 3

  1. A rectangular garden is drawn on a grid with length 12 meters and width 8 meters. If you walk around the entire outside edge of the garden, how many meters will you walk?
    Answer: ______________
  2. 4,328 - 1,957 = ? Answer: ______________
  3. Liam is organizing his baseball card collection. He has 347 cards in his main album and his friend Noah gives him 128 more cards. How many baseball cards does Liam have in total now? Answer: ______________
  4. Matiu is collecting bottle caps for a school project. Last week, Matiu collected 13042 bottle caps. This week, Matiu collected 12646 more bottle caps. How many bottle caps does Matiu have in total? Answer: ______________
  5. 23,457 + 68,913 = ? Answer: ______________
  6. Liam is saving money to buy a new video game that costs $45. He already has $28 saved from doing chores. For his birthday, his grandmother gives him $15. How much more money does Liam need to buy the video game? Answer: ______________
  7. Liam is saving money to buy a new video game that costs $45.75. He already has $28.50 saved from doing chores. For his birthday, his grandmother gives him $15.25. How much more money does Liam need to buy the video game? Answer: ______________
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Answer Key & Explanations

Multi-Digit Operations · Grade 4 · Worksheet 3

  1. A rectangular garden is drawn on a grid with length 12 meters and width 8 meters. If you walk around the entire outside edge of the garden, how many meters will you walk? Answer: 40 Solution: We are told the garden is rectangular with length 12 meters and width 8 meters. Walking around the entire outside edge means we are finding the perimeter of the rectangle.
    Full step-by-step solution

    We are told the garden is rectangular with length 12 meters and width 8 meters. Walking around the entire outside edge means we are finding the perimeter of the rectangle. Step 1: Recall the formula for the perimeter of a rectangle. Perimeter = 2 × (length + width) Step 2: Substitute the given values into the formula. Length = 12 m Width = 8 m Perimeter = 2 × (12 + 8) Step 3: First, add the length and width. 12 + 8 = 20 Step 4: Multiply by 2. 2 × 20 = 40 Step 5: State the final answer. The distance walked around the garden is 40 meters. ANSWER: 40

  2. 4,328 - 1,957 = ? Answer: 2371 Solution: Write the numbers vertically aligned by place value: 4,328 - 1,957 Subtract ones column: 8 - 7 = 1 Subtract tens column: 2 - 5 (can't do, so regroup) Borrow 1 hundred from 3 hundreds, making it 2 hundreds Add 10 tens to 2 tens, making it 12 tens 12 - 5 = 7 Subtract hundreds column: 2 - 9 (can't…
    Full step-by-step solution

    Step 1: Write the numbers vertically aligned by place value: 4,328 - 1,957 Step 2: Subtract ones column: 8 - 7 = 1 Step 3: Subtract tens column: 2 - 5 (can't do, so regroup) Borrow 1 hundred from 3 hundreds, making it 2 hundreds Add 10 tens to 2 tens, making it 12 tens 12 - 5 = 7 Step 4: Subtract hundreds column: 2 - 9 (can't do, so regroup) Borrow 1 thousand from 4 thousands, making it 3 thousands Add 10 hundreds to 2 hundreds, making it 12 hundreds 12 - 9 = 3 Step 5: Subtract thousands column: 3 - 1 = 2 Step 6: Combine the results: 2,371 The answer is 2,371.

  3. Liam is organizing his baseball card collection. He has 347 cards in his main album and his friend Noah gives him 128 more cards. How many baseball cards does Liam have in total now? Answer: 475 Solution: Liam starts with 347 cards in his main album. Noah gives him 128 more cards. So we need to calculate: 347 + 128.
    Full step-by-step solution

    Let's add the number of baseball cards Liam has step by step. Step 1: Liam starts with 347 cards in his main album. Step 2: Noah gives him 128 more cards. So we need to calculate: 347 + 128. Step 3: Add the ones place digits: 7 (from 347) + 8 (from 128) = 15. Write down 5 in the ones place, and carry over 1 to the tens place. Step 4: Add the tens place digits: 4 (from 347) + 2 (from 128) = 6, plus the carried over 1 makes 7. Write down 7 in the tens place. Step 5: Add the hundreds place digits: 3 (from 347) + 1 (from 128) = 4. Write down 4 in the hundreds place. Step 6: Combine the digits: 4 hundreds, 7 tens, 5 ones = 475. So, Liam now has 475 baseball cards in total.

  4. Matiu is collecting bottle caps for a school project. Last week, Matiu collected 13042 bottle caps. This week, Matiu collected 12646 more bottle caps. How many bottle caps does Matiu have in total? Answer: 25688 Solution: Start with the bottle caps from last week: 13042. Add the bottle caps from this week: 13042 + 12646 = 25688.
    Full step-by-step solution

    Step 1: Start with the bottle caps from last week: 13042. Step 2: Add the bottle caps from this week: 13042 + 12646 = 25688. The answer is 25688 bottle caps.

  5. 23,457 + 68,913 = ? Answer: 92,370 Solution: Write the numbers vertically, aligning by place value: 23,457 + 68,913 Add the ones column: 7 + 3 = 10. Write 0, carry 1 to the tens column. Add the tens column: 5 + 1 + 1 (carried) = 7.
    Full step-by-step solution

    Step 1: Write the numbers vertically, aligning by place value: 23,457 + 68,913 --------- Step 2: Add the ones column: 7 + 3 = 10. Write 0, carry 1 to the tens column. Step 3: Add the tens column: 5 + 1 + 1 (carried) = 7. Write 7. Step 4: Add the hundreds column: 4 + 9 = 13. Write 3, carry 1 to the thousands column. Step 5: Add the thousands column: 3 + 8 + 1 (carried) = 12. Write 2, carry 1 to the ten-thousands column. Step 6: Add the ten-thousands column: 2 + 6 + 1 (carried) = 9. Write 9. Step 7: Combine the digits: 92,370. The answer is 92,370.

  6. Liam is saving money to buy a new video game that costs $45. He already has $28 saved from doing chores. For his birthday, his grandmother gives him $15. How much more money does Liam need to buy the video game? Answer: 2 Solution: Find the total money Liam has after his birthday. He had $28 from chores and gets $15 from his grandmother. So, total money = 28 + 15 28 + 15 = 43 Liam has $43 now.
    Full step-by-step solution

    Let's go step by step. Step 1: Find the total money Liam has after his birthday. He had $28 from chores and gets $15 from his grandmother. So, total money = 28 + 15 28 + 15 = 43 Liam has $43 now. Step 2: Find how much more money he needs. The game costs $45. Money needed = Cost of game − Money he has Money needed = 45 − 43 45 − 43 = 2 Step 3: Conclusion Liam needs $2 more to buy the video game. Final answer: 2

  7. Liam is saving money to buy a new video game that costs $45.75. He already has $28.50 saved from doing chores. For his birthday, his grandmother gives him $15.25. How much more money does Liam need to buy the video game? Answer: 2.00 Solution: Identify the cost of the video game. The video game costs $45.75. Add up the money Liam already has.
    Full step-by-step solution

    Let's go step-by-step. Step 1: Identify the cost of the video game. The video game costs $45.75. Step 2: Add up the money Liam already has. Money from chores = $28.50 Money from grandmother = $15.25 Total money Liam has = 28.50 + 15.25 Let's add: 28.50 + 15.25 First, add dollars: 28 + 15 = 43 Then add cents: 0.50 + 0.25 = 0.75 So total = 43 + 0.75 = 43.75 Step 3: Find how much more money Liam needs. Money needed = Cost of game − Money Liam has Money needed = 45.75 − 43.75 Subtract: 45.75 − 43.75 Dollars: 45 − 43 = 2 Cents: 0.75 − 0.75 = 0.00 So result = 2.00 Step 4: Conclusion Liam needs $2.00 more to buy the video game. Final answer: 2.00