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Subtraction Within 10000

Grade 4 · Mathematics · Worksheet 3

  1. A rectangular garden has a length of 125.75 meters and a width of 84.25 meters. If a fence is installed around the entire perimeter of the garden, how many meters of fencing are needed?
    Answer: ______________
  2. Emma is organizing a charity run. She has collected 9,031 registration forms from participants. So far, 4,287 participants have picked up their race packets. How many registration forms are still waiting for participants to collect their packets? Answer: ______________
  3. 4,327 - 1,896 = ? Answer: ______________
  4. Sophia collected 8,416 cans for a food drive. After donating some cans to a local shelter, she has 5,276 cans left. How many cans did Sophia donate to the shelter? Answer: ______________
  5. A rectangular garden has a length of 125.75 meters and a width of 89.25 meters. The gardener wants to install a fence around the entire garden. What is the perimeter of the garden in meters?
    Answer: ______________
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Answer Key & Explanations

Subtraction Within 10000 · Grade 4 · Worksheet 3

  1. A rectangular garden has a length of 125.75 meters and a width of 84.25 meters. If a fence is installed around the entire perimeter of the garden, how many meters of fencing are needed? Answer: 420 Solution: The perimeter of a rectangle is calculated as 2 × length + 2 × width Calculate 2 × length = 2 × 125.75 = 251.50 Calculate 2 × width = 2 × 84.25 = 168.50 Add the two results: 251.50 + 168.50 = 420.00 The total fencing needed is 420 meters
    Full step-by-step solution

    Step 1: The perimeter of a rectangle is calculated as 2 × length + 2 × width Step 2: Calculate 2 × length = 2 × 125.75 = 251.50 Step 3: Calculate 2 × width = 2 × 84.25 = 168.50 Step 4: Add the two results: 251.50 + 168.50 = 420.00 Step 5: The total fencing needed is 420 meters

  2. Emma is organizing a charity run. She has collected 9,031 registration forms from participants. So far, 4,287 participants have picked up their race packets. How many registration forms are still waiting for participants to collect their packets? Answer: 4,744 Solution: Start with the total number of registration forms: 9,031 Subtract the number of packets already collected: 4,287 Set up the subtraction: 9,031 - 4,287 Subtract the ones place: 1 - 7 (need to borrow from the tens place) The tens place is 3, so borrow 1 ten: 3 becomes 2, ones place becomes 11.
    Full step-by-step solution

    Step 1: Start with the total number of registration forms: 9,031 Step 2: Subtract the number of packets already collected: 4,287 Step 3: Set up the subtraction: 9,031 - 4,287 Step 4: Subtract the ones place: 1 - 7 (need to borrow from the tens place) Step 5: The tens place is 3, so borrow 1 ten: 3 becomes 2, ones place becomes 11. 11 - 7 = 4 Step 6: Subtract the tens place: 2 - 8 (need to borrow from the hundreds place) Step 7: The hundreds place is 0, so borrow from the thousands place: 9 becomes 8, hundreds place becomes 10. Then borrow 1 hundred: 10 becomes 9, tens place becomes 12. 12 - 8 = 4 Step 8: Subtract the hundreds place: 9 - 2 = 7 Step 9: Subtract the thousands place: 8 - 4 = 4 Step 10: The result is 4,744 Check: 4,744 + 4,287 = 9,031 The answer is 4,744 registration forms.

  3. 4,327 - 1,896 = ? Answer: 2431 Solution: Start with the ones place: 7 - 6 = 1 Move to the tens place: 2 - 9 (can't do, so regroup from hundreds) Hundreds place becomes 3 - 1 = 2, tens place becomes 12 - 9 = 3 Move to the hundreds place: 2 - 8 (can't do, so regroup from thousands) Thousands place becomes 4 - 1 = 3, hundreds place…
    Full step-by-step solution

    Step 1: Start with the ones place: 7 - 6 = 1 Step 2: Move to the tens place: 2 - 9 (can't do, so regroup from hundreds) Step 3: Hundreds place becomes 3 - 1 = 2, tens place becomes 12 - 9 = 3 Step 4: Move to the hundreds place: 2 - 8 (can't do, so regroup from thousands) Step 5: Thousands place becomes 4 - 1 = 3, hundreds place becomes 12 - 8 = 4 Step 6: Move to the thousands place: 3 - 1 = 2 Step 7: Final answer: 2,431 The answer is 2431.

  4. Sophia collected 8,416 cans for a food drive. After donating some cans to a local shelter, she has 5,276 cans left. How many cans did Sophia donate to the shelter? Answer: 3140 Solution: Start with the total cans Sophia collected: 8,416 Subtract the cans she has left: 5,276 Set up the subtraction: 8,416 - 5,276 Subtract the ones place: 6 - 6 = 0 Subtract the tens place: 1 - 7 (need to borrow from hundreds place) Borrow from the hundreds place: 4 becomes 3, tens place becomes 11…
    Full step-by-step solution

    Step 1: Start with the total cans Sophia collected: 8,416 Step 2: Subtract the cans she has left: 5,276 Step 3: Set up the subtraction: 8,416 - 5,276 Step 4: Subtract the ones place: 6 - 6 = 0 Step 5: Subtract the tens place: 1 - 7 (need to borrow from hundreds place) Step 6: Borrow from the hundreds place: 4 becomes 3, tens place becomes 11 Step 7: 11 - 7 = 4 Step 8: Subtract the hundreds place: 3 - 2 = 1 Step 9: Subtract the thousands place: 8 - 5 = 3 Step 10: The result is 3,140 The answer is 3,140 cans.

  5. A rectangular garden has a length of 125.75 meters and a width of 89.25 meters. The gardener wants to install a fence around the entire garden. What is the perimeter of the garden in meters? Answer: 430 Solution: The formula for the perimeter of a rectangle is P = 2 × (length + width). Substitute the given values: P = 2 × (125.75 + 89.25). First, add the length and width: 125.75 + 89.25 = 215.00.
    Full step-by-step solution

    Step 1: The formula for the perimeter of a rectangle is P = 2 × (length + width). Step 2: Substitute the given values: P = 2 × (125.75 + 89.25). Step 3: First, add the length and width: 125.75 + 89.25 = 215.00. Step 4: Then multiply by 2: 2 × 215.00 = 430.00. Step 5: The perimeter is 430 meters.