Subtraction Within 10000

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Answer Key & Explanations

Subtraction Within 10000 · Grade 4 · Worksheet 3

1. 9,304 - 5,817 = ? Answer: 3487 Solution: Start with the ones place: 4 - 7 (cannot do, so regroup from tens) Regroup from tens: 0 tens becomes 9 tens, 4 ones becomes 14 ones 14 - 7 = 7 (ones place) Move to tens place: 9 - 1 = 8 (tens place) Move to hundreds place: 3 - 8 (cannot do, so regroup from thousands) Regroup from thousands: 9…
   Full step-by-step solution

   Step 1: Start with the ones place: 4 - 7 (cannot do, so regroup from tens) Step 2: Regroup from tens: 0 tens becomes 9 tens, 4 ones becomes 14 ones Step 3: 14 - 7 = 7 (ones place) Step 4: Move to tens place: 9 - 1 = 8 (tens place) Step 5: Move to hundreds place: 3 - 8 (cannot do, so regroup from thousands) Step 6: Regroup from thousands: 9 thousands becomes 8 thousands, 3 hundreds becomes 13 hundreds Step 7: 13 - 8 = 5 (hundreds place) Step 8: Move to thousands place: 8 - 5 = 3 (thousands place) Step 9: Final answer: 3,487

2. 9,123 - 4,567 = ? Answer: 4556 Solution: 9,123 - 4,567 Start with the ones column: 3 - 7 (can't do, need to regroup) Borrow from tens column: 2 becomes 1, 3 becomes 13 13 - 7 = 6 Move to tens column: 1 - 6 (can't do, need to regroup) Borrow from hundreds column: 1 becomes 0, 1 becomes 11 11 - 6 = 5 Move to hundreds column: 0 - 5…
   Full step-by-step solution

   Step 1: Write the problem vertically: 9,123 - 4,567 _______ Step 2: Start with the ones column: 3 - 7 (can't do, need to regroup) Borrow from tens column: 2 becomes 1, 3 becomes 13 13 - 7 = 6 Step 3: Move to tens column: 1 - 6 (can't do, need to regroup) Borrow from hundreds column: 1 becomes 0, 1 becomes 11 11 - 6 = 5 Step 4: Move to hundreds column: 0 - 5 (can't do, need to regroup) Borrow from thousands column: 9 becomes 8, 0 becomes 10 10 - 5 = 5 Step 5: Move to thousands column: 8 - 4 = 4 Step 6: Combine the results: 4,556 The answer is 4,556.

3. Noah's school collected 8,416 canned goods for a food drive. After distributing some to local families, there were 5,276 canned goods left. How many canned goods were distributed to the families? Answer: 3,140 Solution: Start with the total number of canned goods collected: 8,416. Subtract the number of canned goods left: 5,276. Set up the subtraction: 8,416 - 5,276.
   Full step-by-step solution

   Step 1: Start with the total number of canned goods collected: 8,416. Step 2: Subtract the number of canned goods 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. Since 1 is less than 7, borrow 1 hundred from the hundreds place. The hundreds place becomes 3 (since 4 - 1 = 3), and the tens place becomes 11. Then, 11 - 7 = 4. Step 6: Subtract the hundreds place: 3 - 2 = 1. Step 7: Subtract the thousands place: 8 - 5 = 3. Step 8: The result is 3,140. Step 9: Check: 3,140 + 5,276 = 8,416. The answer is 3,140 canned goods.

4. Lucas's house is 6499 meters from school. Lucas has already walked 6250 meters. How many more meters does Lucas need to walk to reach school? Answer: 249 Solution: Find the total distance to school: 6499 meters. Find how far Lucas has already walked: 6250 meters. Subtract the distance walked from the total distance: 6499 - 6250 = 249.
   Full step-by-step solution

   Step 1: Find the total distance to school: 6499 meters. Step 2: Find how far Lucas has already walked: 6250 meters. Step 3: Subtract the distance walked from the total distance: 6499 - 6250 = 249. Lucas needs to walk 249 more meters to reach school.

5. A school is organizing a field trip to the science museum. The museum charges $12.75 per student, and there are 128 students going on the trip. The school has already collected $985 from parents to cover the costs. How much more money does the school need to collect to pay for all the students? Answer: D. $647.00 Solution: 128 students × $12.75 per student First: 128 × 12 = 1,536 Then: 128 × 0.75 = 96 Add: 1,536 + 96 = 1,632 Total cost = $1,632.00 $1,632.00 - $985.00 = $647.00 The school needs $647.00 more to pay for all students
   Full step-by-step solution

   Step 1: Calculate the total cost for all students 128 students × $12.75 per student First: 128 × 12 = 1,536 Then: 128 × 0.75 = 96 Add: 1,536 + 96 = 1,632 Total cost = $1,632.00 Step 2: Subtract the money already collected $1,632.00 - $985.00 = $647.00 Step 3: The school needs $647.00 more to pay for all students

6. 4237 - 1589 = ? Answer: 2648 Solution: Start with the ones place: 7 - 9 (can't do, so regroup from tens) 3 tens becomes 2 tens, 7 ones becomes 17 ones: 17 - 9 = 8 Move to tens place: 2 - 8 (can't do, so regroup from hundreds) 2 hundreds becomes 1 hundred, 2 tens becomes 12 tens: 12 - 8 = 4 Move to hundreds place: 1 - 5 (can't do, so…
   Full step-by-step solution

   Step 1: Start with the ones place: 7 - 9 (can't do, so regroup from tens) Step 2: 3 tens becomes 2 tens, 7 ones becomes 17 ones: 17 - 9 = 8 Step 3: Move to tens place: 2 - 8 (can't do, so regroup from hundreds) Step 4: 2 hundreds becomes 1 hundred, 2 tens becomes 12 tens: 12 - 8 = 4 Step 5: Move to hundreds place: 1 - 5 (can't do, so regroup from thousands) Step 6: 4 thousands becomes 3 thousands, 1 hundred becomes 11 hundreds: 11 - 5 = 6 Step 7: Move to thousands place: 3 - 1 = 2 Step 8: Combine the results: 2648 The answer is 2648.

7. Mason's bakery had 9,246 cookies in stock at the start of the week. By Friday, they had sold 5,789 cookies. How many cookies were still left in the bakery at the end of the week? Answer: 3,457 Solution: Start with the total number of cookies: 9,246. Subtract the number sold: 5,789. Set up the subtraction vertically: 9,246 - 5,789.
   Full step-by-step solution

   Step 1: Start with the total number of cookies: 9,246. Step 2: Subtract the number sold: 5,789. Step 3: Set up the subtraction vertically: 9,246 - 5,789. Step 4: Subtract the ones place: 6 - 9. Since 6 is less than 9, borrow 1 ten from the tens place (4 becomes 3, and 6 becomes 16). 16 - 9 = 7. Step 5: Subtract the tens place: 3 - 8. Since 3 is less than 8, borrow 1 hundred from the hundreds place (2 becomes 1, and 3 becomes 13). 13 - 8 = 5. Step 6: Subtract the hundreds place: 1 - 7. Since 1 is less than 7, borrow 1 thousand from the thousands place (9 becomes 8, and 1 becomes 11). 11 - 7 = 4. Step 7: Subtract the thousands place: 8 - 5 = 3. Step 8: The result is 3,457. Step 9: Check: 3,457 + 5,789 = 9,246. The answer is 3,457 cookies.

8. 7524 - 3896 = ? Answer: 3628 Solution: Write the problem vertically: 7524 - 3896 Start with the ones place: 4 - 6, cannot do, so regroup from tens place. 2 tens becomes 1 ten, and 4 ones becomes 14 ones.
   Full step-by-step solution

   Step 1: Write the problem vertically: 7524 - 3896 Step 2: Start with the ones place: 4 - 6, cannot do, so regroup from tens place. 2 tens becomes 1 ten, and 4 ones becomes 14 ones. 14 - 6 = 8 Step 3: Move to tens place: 1 - 9, cannot do, so regroup from hundreds place. 5 hundreds becomes 4 hundreds, and 1 ten becomes 11 tens. 11 - 9 = 2 Step 4: Move to hundreds place: 4 - 8, cannot do, so regroup from thousands place. 7 thousands becomes 6 thousands, and 4 hundreds becomes 14 hundreds. 14 - 8 = 6 Step 5: Move to thousands place: 6 - 3 = 3 Step 6: Combine the results: 3 thousands, 6 hundreds, 2 tens, 8 ones = 3628 The answer is 3628.

9. Aroha is saving money to buy a new bicycle that costs $8828. Aroha already has $8527. How much more money does Aroha need to save to buy the bicycle? Answer: 301 Solution: Find the total cost of the bicycle: $8828. Find how much Aroha already has: $8527. Subtract the savings from the total cost: $8828 - $8527 = $301.
   Full step-by-step solution

   Step 1: Find the total cost of the bicycle: $8828. Step 2: Find how much Aroha already has: $8527. Step 3: Subtract the savings from the total cost: $8828 - $8527 = $301. Aroha needs $301 more to buy the bicycle.