Subtraction Within 10000

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Answer Key & Explanations

Subtraction Within 10000 · Grade 4 · Worksheet 2

1. Tane runs a small farm supply store. He had 9,012 kilograms of chicken feed in stock. Over the weekend, he sold 3,487 kilograms to local farmers. How many kilograms of chicken feed does Tane have left? Answer: 5525 Solution: Start with the total amount of chicken feed: 9,012 kilograms. Subtract the amount sold: 3,487 kilograms. Set up the subtraction: 9,012 - 3,487 Subtract the ones place: 2 - 7 (need to borrow from the tens place).
   Full step-by-step solution

   Step 1: Start with the total amount of chicken feed: 9,012 kilograms. Step 2: Subtract the amount sold: 3,487 kilograms. Step 3: Set up the subtraction: 9,012 - 3,487 Step 4: Subtract the ones place: 2 - 7 (need to borrow from the tens place). Step 5: The tens place is 1, so borrow from hundreds: hundreds become 0, tens become 11. Now tens: 11 - 8 = 3. Ones: 12 - 7 = 5. Step 6: Subtract the hundreds place: 0 - 4 (need to borrow from thousands). Step 7: Thousands become 8, hundreds become 10. Hundreds: 10 - 4 = 6. Step 8: Subtract the thousands place: 8 - 3 = 5. Step 9: The result is 5,525. Step 10: Check: 5,525 + 3,487 = 9,012. The answer is 5,525 kilograms.

2. Moana had 3579 marbles in a collection. After giving away 976 marbles to a friend, how many marbles does Moana have left? Answer: 2603 Solution: Start with 3579 marbles. Subtract the 976 marbles given away: 3579 - 976 = 2603. So Moana has 2603 marbles left.
3. Jordan had 8585 marbles in a collection. After giving away 599 marbles to a friend, how many marbles does Jordan have left? Answer: 7986 Solution: Start with 8585 marbles. Subtract the 599 marbles given away: 8585 - 599 = 7986. So Jordan has 7986 marbles left.
4. Alex's house is 3305 meters from school. Alex has already walked 990 meters. How many more meters does Alex need to walk to reach school? Answer: 2315 Solution: Find the total distance to school: 3305 meters. Find how far Alex has already walked: 990 meters. Subtract the distance walked from the total distance: 3305 - 990 = 2315.
   Full step-by-step solution

   Step 1: Find the total distance to school: 3305 meters. Step 2: Find how far Alex has already walked: 990 meters. Step 3: Subtract the distance walked from the total distance: 3305 - 990 = 2315. Alex needs to walk 2315 more meters to reach school.

5. 9,375 - 4,826 = ? Answer: 4549 Solution: 9,375 - 4,826 Subtract the ones place: 5 - 6 (we need to regroup) Borrow 1 ten from the 7 tens, making it 6 tens, and add 10 to the 5 ones to get 15 ones 15 - 6 = 9 Subtract the tens place: 6 - 2 = 4 Subtract the hundreds place: 3 - 8 (we need to regroup) Borrow 1 thousand from the 9 thousands,…
   Full step-by-step solution

   Step 1: Write the problem vertically: 9,375 - 4,826 Step 2: Subtract the ones place: 5 - 6 (we need to regroup) Borrow 1 ten from the 7 tens, making it 6 tens, and add 10 to the 5 ones to get 15 ones 15 - 6 = 9 Step 3: Subtract the tens place: 6 - 2 = 4 Step 4: Subtract the hundreds place: 3 - 8 (we need to regroup) Borrow 1 thousand from the 9 thousands, making it 8 thousands, and add 10 to the 3 hundreds to get 13 hundreds 13 - 8 = 5 Step 5: Subtract the thousands place: 8 - 4 = 4 Step 6: Combine the results: 4,549 The answer is 4,549.

6. A rectangular garden has a length of 125.75 meters and a width of 84.25 meters. If you walk around the entire perimeter of the garden, how many meters do you walk? Answer: 420 Solution: The perimeter of a rectangle is calculated by adding all four sides: Perimeter = 2 × (length + width) Substitute the given values: Perimeter = 2 × (125.75 + 84.25) First, add the length and width: 125.75 + 84.25 = 210 Then multiply by 2: 2 × 210 = 420 The total distance walked is 420 meters.
   Full step-by-step solution

   Step 1: The perimeter of a rectangle is calculated by adding all four sides: Perimeter = 2 × (length + width) Step 2: Substitute the given values: Perimeter = 2 × (125.75 + 84.25) Step 3: First, add the length and width: 125.75 + 84.25 = 210 Step 4: Then multiply by 2: 2 × 210 = 420 Step 5: The total distance walked is 420 meters.

7. Jordan is saving money to buy a new bicycle that costs $8085. Jordan already has $1098. How much more money does Jordan need to save to buy the bicycle? Answer: 6987 Solution: Find the total cost of the bicycle: $8085. Find how much Jordan already has: $1098. Subtract the savings from the total cost: $8085 - $1098 = $6987.
   Full step-by-step solution

   Step 1: Find the total cost of the bicycle: $8085. Step 2: Find how much Jordan already has: $1098. Step 3: Subtract the savings from the total cost: $8085 - $1098 = $6987. Jordan needs $6987 more to buy the bicycle.