Subtraction Within 10000

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Answer Key & Explanations

Subtraction Within 10000 · Grade 4 · Worksheet 1

1. A farmer harvested 3,475 apples from her orchard in the morning and 2,189 apples in the afternoon. How many more apples did she harvest in the morning than in the afternoon? Answer: 1286 Solution: Identify the two amounts: morning harvest = 3,475 apples, afternoon harvest = 2,189 apples To find how many more apples were harvested in the morning, subtract the afternoon amount from the morning amount Set up the subtraction: 3,475 - 2,189 Subtract the ones place: 5 - 9 (can't do, so borrow…
   Full step-by-step solution

   Step 1: Identify the two amounts: morning harvest = 3,475 apples, afternoon harvest = 2,189 apples Step 2: To find how many more apples were harvested in the morning, subtract the afternoon amount from the morning amount Step 3: Set up the subtraction: 3,475 - 2,189 Step 4: Subtract the ones place: 5 - 9 (can't do, so borrow from tens): 15 - 9 = 6 Step 5: Subtract the tens place: 6 (after borrowing) - 8 (can't do, so borrow from hundreds): 16 - 8 = 8 Step 6: Subtract the hundreds place: 3 (after borrowing) - 1 = 2 Step 7: Subtract the thousands place: 3 - 2 = 1 Step 8: Combine the results: 1,286 Step 9: The farmer harvested 1,286 more apples in the morning than in the afternoon. The answer is 1286.

2. Tane's farm has 9,350 kilograms of hay stored for the winter. After feeding his sheep for several weeks, he has used 5,678 kilograms of hay. How many kilograms of hay does Tane still have left? Answer: 3672 Solution: Start with the total hay: 9,350 kg Subtract the hay used: 5,678 kg Set up the subtraction: 9,350 - 5,678 Subtract ones place: 0 - 8. Since 0 is less than 8, we need to borrow from the tens place.
   Full step-by-step solution

   Step 1: Start with the total hay: 9,350 kg Step 2: Subtract the hay used: 5,678 kg Step 3: Set up the subtraction: 9,350 - 5,678 Step 4: Subtract ones place: 0 - 8. Since 0 is less than 8, we need to borrow from the tens place. Step 5: The tens place has 5, but we need to borrow from the hundreds place first because the tens place is also 0 after borrowing? Let's look carefully. Step 6: 9,350: ones = 0, tens = 5, hundreds = 3, thousands = 9. Step 7: Ones: 0 - 8, borrow 1 from tens. Tens become 4, ones become 10. 10 - 8 = 2. Step 8: Tens: 4 - 7. Since 4 is less than 7, borrow 1 from hundreds. Hundreds become 2, tens become 14. 14 - 7 = 7. Step 9: Hundreds: 2 - 6. Since 2 is less than 6, borrow 1 from thousands. Thousands become 8, hundreds become 12. 12 - 6 = 6. Step 10: Thousands: 8 - 5 = 3. Step 11: The result is 3,672. Step 12: Check: 3,672 + 5,678 = 9,350. The answer is 3,672 kilograms.

3. 9,876 - 5,432 = ? Answer: 4444 Solution: Write the numbers vertically, aligning by place value: 9,876 - 5,432 Subtract the ones place: 6 - 2 = 4 Subtract the tens place: 7 - 3 = 4 Subtract the hundreds place: 8 - 4 = 4 Subtract the thousands place: 9 - 5 = 4 Combine the results: 4,444 The answer is 4,444.
   Full step-by-step solution

   Step 1: Write the numbers vertically, aligning by place value: 9,876 - 5,432 Step 2: Subtract the ones place: 6 - 2 = 4 Step 3: Subtract the tens place: 7 - 3 = 4 Step 4: Subtract the hundreds place: 8 - 4 = 4 Step 5: Subtract the thousands place: 9 - 5 = 4 Step 6: Combine the results: 4,444 The answer is 4,444.

4. 9,347 - 5,681 = ? Answer: 3666 Solution: 9,347 - 5,681 Subtract the ones column: 7 - 1 = 6 Subtract the tens column: 4 - 8 (can't do, so regroup) Borrow from hundreds: 3 becomes 2, and 4 becomes 14 14 - 8 = 6 Subtract the hundreds column: 2 - 6 (can't do, so regroup) Borrow from thousands: 9 becomes 8, and 2 becomes 12 12 - 6 = 6…
   Full step-by-step solution

   Step 1: Write the problem vertically: 9,347 - 5,681 Step 2: Subtract the ones column: 7 - 1 = 6 Step 3: Subtract the tens column: 4 - 8 (can't do, so regroup) Borrow from hundreds: 3 becomes 2, and 4 becomes 14 14 - 8 = 6 Step 4: Subtract the hundreds column: 2 - 6 (can't do, so regroup) Borrow from thousands: 9 becomes 8, and 2 becomes 12 12 - 6 = 6 Step 5: Subtract the thousands column: 8 - 5 = 3 Step 6: Combine the results: 3,666 The answer is 3,666.

5. 9,375 - 4,618 = ? Answer: 4757 Solution: 9,375 - 4,618 Subtract the ones place: 5 - 8. Since 5 is smaller than 8, regroup from the tens place. The 7 becomes 6, and the 5 becomes 15.
   Full step-by-step solution

   Step 1: Write the problem vertically: 9,375 - 4,618 Step 2: Subtract the ones place: 5 - 8. Since 5 is smaller than 8, regroup from the tens place. The 7 becomes 6, and the 5 becomes 15. 15 - 8 = 7 Step 3: Subtract the tens place: 6 - 1 = 5 Step 4: Subtract the hundreds place: 3 - 6. Since 3 is smaller than 6, regroup from the thousands place. The 9 becomes 8, and the 3 becomes 13. 13 - 6 = 7 Step 5: Subtract the thousands place: 8 - 4 = 4 Step 6: The final answer is 4,757

6. 9,305 - 4,728 = ? Answer: 4577 Solution: Start with the ones place: 5 - 8. Since 5 is smaller than 8, we need to regroup from the tens place. The tens place is 0, so we cannot regroup from there.
   Full step-by-step solution

   Step 1: Start with the ones place: 5 - 8. Since 5 is smaller than 8, we need to regroup from the tens place. Step 2: The tens place is 0, so we cannot regroup from there. We need to regroup from the hundreds place. Step 3: Regroup from the hundreds place: 3 hundreds becomes 2 hundreds, and 10 tens are added to the tens place (0 tens becomes 10 tens). Step 4: Now regroup from the tens place: Take 1 ten from the 10 tens, leaving 9 tens. Add 10 ones to the ones place (5 ones becomes 15 ones). Step 5: Subtract ones: 15 - 8 = 7 Step 6: Subtract tens: 9 - 2 = 7 Step 7: Subtract hundreds: 2 - 7. Since 2 is smaller than 7, we need to regroup from the thousands place. Step 8: Regroup from the thousands place: 9 thousands becomes 8 thousands, and 10 hundreds are added to the hundreds place (2 hundreds becomes 12 hundreds). Step 9: Subtract hundreds: 12 - 7 = 5 Step 10: Subtract thousands: 8 - 4 = 4 Step 11: The final answer is 4,577.

7. A school library had 8,425 books at the beginning of the school year. During the year, 3,768 books were checked out by students. How many books remained in the library? Answer: 4657 Solution: Start with the total number of books: 8,425 Subtract the number of books checked out: 3,768 Set up the subtraction: 8,425 - 3,768 Subtract the ones place: 5 - 8, need to borrow from tens place After borrowing: 15 - 8 = 7 Subtract the tens place: 1 - 6, need to borrow from hundreds place After…
   Full step-by-step solution

   Step 1: Start with the total number of books: 8,425 Step 2: Subtract the number of books checked out: 3,768 Step 3: Set up the subtraction: 8,425 - 3,768 Step 4: Subtract the ones place: 5 - 8, need to borrow from tens place Step 5: After borrowing: 15 - 8 = 7 Step 6: Subtract the tens place: 1 - 6, need to borrow from hundreds place Step 7: After borrowing: 11 - 6 = 5 Step 8: Subtract the hundreds place: 3 - 7, need to borrow from thousands place Step 9: After borrowing: 13 - 7 = 6 Step 10: Subtract the thousands place: 7 - 3 = 4 Step 11: The final answer is 4,657 books remaining in the library.

8. 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.

9. 9,305 - 4,678 = ? Answer: 4627 Solution: 9,305 - 4,678 Start with the ones place: 5 - 8. Since 5 is smaller than 8, regroup from the tens place. The tens place is 0, so we need to regroup from the hundreds place.
   Full step-by-step solution

   Step 1: Write the problem vertically: 9,305 - 4,678 Step 2: Start with the ones place: 5 - 8. Since 5 is smaller than 8, regroup from the tens place. The tens place is 0, so we need to regroup from the hundreds place. Step 3: Regroup from hundreds to tens: The hundreds digit is 3, so we take 1 hundred from 3, leaving 2 hundreds, and add 10 tens to the 0 tens, making 10 tens. Step 4: Now regroup from tens to ones: Take 1 ten from the 10 tens, leaving 9 tens, and add 10 ones to the 5 ones, making 15 ones. Step 5: Subtract ones: 15 - 8 = 7 Step 6: Subtract tens: 9 - 7 = 2 Step 7: Subtract hundreds: 2 - 6. Since 2 is smaller than 6, regroup from the thousands place. Take 1 thousand from 9, leaving 8 thousands, and add 10 hundreds to the 2 hundreds, making 12 hundreds. Step 8: Subtract hundreds: 12 - 6 = 6 Step 9: Subtract thousands: 8 - 4 = 4 The answer is 4,627.