How to Subtract 4 Digit Numbers with Borrowing and Solved Examples
Subtraction is an operation that is used to calculate the difference between two numbers. When a group of things is reduced in size by removing a few of them, the group becomes smaller. For example, suppose you bought 9 cupcakes for your birthday party and your guests ate 7 of them. You are now down to two cupcakes. This can be expressed as a subtraction expression: 9 - 7 = 2 and read as "nine minus seven equals two." We get 2 when we subtract 7 from 9 (9 - 7). In this case, we subtracted two numbers, 9 and 7, to get the difference of 2.
What is 4-Digit Subtraction?
The difference between two 4-digit numbers is represented by 4-digit subtraction. Any number less than four digits can be removed from it as well. We know that the greater number should go higher and the smaller one should go down. The greater number at the top is known as the minuend, while the smaller number written below is known as the subtrahend. The difference between two numbers is the result of their subtraction. Both integers are inserted in their corresponding place value columns, one below the other, and then subtracted.
Risks for 4-Digit Subtraction
For a 4-digit subtraction, we utilize the means given underneath.
Step 1: Place the numerals one on top of the other, with the minuend on top and the subtrahend directly below it.
Step 2: Arrange the numbers according to their place values of ones, tens, hundreds, and thousands.
Step 3: Begin subtracting digits from the ones column, then the tens column, hundreds column, then thousands column.
Step 4: Once the difference has been calculated, the corresponding solution is put beneath it. The difference between the two numbers is given by this.
4-Digit Subtraction Without Regrouping
4-digit subtraction without regrouping means the numbers are subtracted without any borrowing. In such cases, all the digits in the minuend are bigger than the digits in the subtrahend. Let us understand this using an example.
Example: Subtract 2719 from 3989.
Step 1: Arrange the numbers according to their place value. Start subtracting the digits in ones column. Now, 9 - 9 =0.
Step 2: Now , 8 - 1 = 7.
Step 3: So, 9 - 7 = 2.
Step 4: Now, let us subtract the digits in the thousands place. So, 3 - 2 = 1.
4-Digit Subtraction Without Regrouping
4-Digit Subtraction with Regrouping
4-digit subtraction with regrouping is also known as borrowing subtraction. We regroup the integers and then subtract when any digit in the minuend (top row) is less than the corresponding digit in the subtrahend (bottom row). We borrow 1 number from the preceding column while regrouping to make that particular digit in the minuend larger than the corresponding digit in the subtrahend. Let me illustrate this with an example.
Step 1: Arrange the numbers as per their place esteem. Begin taking away the digits in one section. We can see that 2 is more modest than 8. In this way, we will get 1 from the tens segment which will make it 12. Presently, 12 - 8 = 4.
Step 2: After giving 1 to the one's segment in the next step, 6 becomes 5. Presently, let us deduct the digits during the tens place (5 - 7). Here, 5 is more modest than 7. Thus, we will acquire 1 from the hundreds segment. This will make it 15. Thus, 15 - 7 = 8.
Step 3: In sync 2 we had given 1 to the tens section, so we have 0 out of hundreds place. Here, 0 is more modest than 6, so we will acquire 1 from the large numbers section. This will make it 10. Thus, 10 - 6 = 4.
Step 4: Now, let us take away the digits in the place of the large number. After giving 1 to the hundreds section, 8 becomes 7. Thus, 7 - 3 = 4.
4-digit subtraction with pulling together
Subtraction
Subsequently, the difference between the two given numbers is 8162 - 3678 = 4484.
Summary
A 4-digit subtraction is the difference between a 4-digit number and another 4-digit number. Any number less than a four-digit number can also be subtracted from it. We know that the larger number should be placed on top and the smaller number should be placed below it. The larger number at the top is called the minuend and the smaller number written below is the subtrahend. The final result of subtracting two numbers is called their difference. Both numbers are placed below each other in their respective place value columns and then subtracted.
FAQs on Subtraction of Four Digit Numbers Made Easy
1. What is 4 digit numbers subtraction?
4 digit numbers subtraction is the process of subtracting one four-digit number (1000–9999) from another to find the difference. It is usually done using the column method by aligning place values:
- Thousands
- Hundreds
- Tens
- Ones
2. How do you subtract 4 digit numbers step by step?
To subtract 4 digit numbers, align place values and subtract from right to left with regrouping if necessary.
- Step 1: Write numbers in columns (ones under ones, tens under tens).
- Step 2: Subtract the ones place.
- Step 3: Move to tens, hundreds, then thousands.
- Step 4: Borrow from the next place value if the top digit is smaller.
3. How do you subtract 4 digit numbers with borrowing?
Subtracting 4 digit numbers with borrowing means regrouping from a higher place value when the top digit is smaller.
- If the ones digit is smaller, borrow 1 ten.
- If the tens digit becomes smaller, borrow 1 hundred.
- Continue as needed across place values.
4. Can you give an example of subtracting two 4 digit numbers?
An example of subtracting two 4 digit numbers is 7645 − 2321 = 5324.
- Ones: 5 − 1 = 4
- Tens: 4 − 2 = 2
- Hundreds: 6 − 3 = 3
- Thousands: 7 − 2 = 5
5. What is the column method in 4 digit subtraction?
The column method in 4 digit subtraction is a vertical method where numbers are arranged by place value for accurate subtraction.
- Write the larger number on top.
- Align thousands, hundreds, tens, and ones.
- Subtract from right to left.
- Regroup if required.
6. What happens if there are zeros in 4 digit subtraction?
If there are zeros in 4 digit subtraction, you may need to borrow across multiple place values. For example, in 5000 − 2784:
- Borrow from thousands to hundreds.
- Continue borrowing until reaching the ones place.
7. How can you check your answer in 4 digit subtraction?
You can check a 4 digit subtraction answer by adding the difference to the smaller number.
- If 6543 − 3210 = 3333
- Then check: 3333 + 3210 = 6543
8. What is the difference between subtraction with and without borrowing?
The difference is that subtraction with borrowing requires regrouping, while subtraction without borrowing does not.
- Without borrowing: Each top digit is larger (e.g., 8642 − 3211).
- With borrowing: A top digit is smaller and needs regrouping (e.g., 5003 − 2789).
9. What are common mistakes in 4 digit subtraction?
Common mistakes in 4 digit subtraction include incorrect borrowing and misaligned place values.
- Not lining up thousands, hundreds, tens, and ones correctly.
- Forgetting to reduce the digit after borrowing.
- Subtracting the smaller number from the larger digit regardless of position.
10. Why is place value important in 4 digit numbers subtraction?
Place value is important in 4 digit numbers subtraction because each digit represents a different value: thousands, hundreds, tens, or ones. Correct subtraction depends on aligning digits by place value. For example, in 4821 − 1356, subtracting by place value gives the correct difference of 3465. Misplacing digits leads to incorrect results.
