3Digit Subtraction
3digit subtraction is the subtraction of numbers in which the minuend consists of 3 digits and the subtrahend can be of either 1, 2, or 3 digits. We know that subtraction is an operation in Math, that gives the difference between two numbers. The number from which we subtract is called the minuend and the number which is subtracted from the minuend is called the subtrahend. While addition of numbers can be done with any set of numbers, in subtraction, we need to remember that the minuend as a whole should be larger than the subtrahend. 3digit subtraction can be done with regrouping or without regrouping depending upon the value of the digits. Let us learn more about 3digit subtraction in this article.
1.  What is 3Digit Subtraction? 
2.  3Digit Subtraction Without Regrouping 
3.  3Digit Subtraction With Regrouping 
4.  3Digit Addition and Subtraction 
5.  FAQs on 3Digit Subtraction 
What is 3Digit Subtraction?
In 3digit subtraction, we need to subtract the given numbers after placing them correctly according to their place values and we need to ensure that the bigger number is placed in the upper row, while the smaller number is placed below it. After aligning them into columns of ones, tens and hundreds, we start the process of subtraction. We know that the number from which the other number is subtracted is called the minuend, and the number which is subtracted from the minuend is called the subtrahend. The result of the subtraction of the two given numbers is called their difference.
Mathematically, this can be expressed as:
Minuend  Subtrahend = Difference
Let us see the basic steps that explain how to do 3digit subtraction.
 Step 1: Write the given numbers one below the other in such a way that the bigger number is placed up and the smaller number is placed below it. They should be correctly placed under the columns of ones, tens, and hundreds.
 Step 2: Start subtracting the numbers from the ones column, followed by the tens column and then the hundreds column.
 Step 3: After all the columns are subtracted, we get the difference of the given numbers.
3Digit Subtraction Without Regrouping
3digit subtraction without regrouping means subtracting a set of numbers without borrowing any number from the preceding digit. While subtracting 3digit numbers, if all the digits in the minuend are bigger than the digits in the subtrahend, the subtraction can be easily done by subtracting each column one by one. Once all the columns are subtracted, the final answer is obtained. This is called subtraction without regrouping. In such a case, there is no regrouping or borrowing of numbers because all the digits of the minuend are bigger in value than the subtrahend. For example, let us subtract two numbers to understand this better. Let us subtract 342 from 754.
Let us understand 3digit subtraction without regrouping using the following steps:
 Step 1: Subtract the numbers under the ones column. 4  2 = 2. Write the difference (2) in ones column.
 Step 2: Subtract the numbers under the tens column. 5  4 = 1. Write the difference (1) in the tens column.
 Step 3: Subtract the numbers under the hundreds column. 7  3 = 4. Write the difference (4) in the hundreds column. Hence, the difference between the given numbers is 412.
3Digit Subtraction With Regrouping
3digit subtraction with regrouping means we need to borrow a number from the preceding digit. In subtraction, regrouping is also known as borrowing. When we subtract 3digit numbers, sometimes, a digit in the upper row is smaller than the digit in the lower row. In this case, we borrow a number from the preceding column so that the smaller minuend becomes bigger than the subtrahend. This is known as regrouping or borrowing, For example, let us subtract 167 from 283.
Let us understand this threedigit subtraction with regrouping using the following steps:
 Step 1: Write the given numbers according to their place values, one below the other in such a way that 283 is placed up and 167 is placed below it. They should be correctly placed under the columns of ones, tens, and hundreds.
 Step 2: Start subtracting the numbers from the ones column. It can be seen that 3 is smaller than 7. So, let us borrow 1 from the tens column which will make it 13. This is known as borrowing or regrouping in subtraction. So, 13  7 = 6. Now, we will write the difference (6) under the ones column.
 Step 3: After giving 1 to the ones column in the previous step, the '8' in the tens column changes to 7. Now, let us subtract the digits at the tens place and write the difference under the tens column (7  6 = 1).
 Step 4: In the hundreds column, we will subtract 1 from 2 and write the difference (1) in the column. (2  1 = 1). Thus, after subtracting all the 3 digits, we get the difference as 116.
3Digit Addition and Subtraction
3digit addition and subtraction is similar to 2digit addition and subtraction.
When we add 3digit numbers, we write the given numbers (addends) one below the other such that they are placed correctly under the columns of ones, tens, and hundreds. Then, we add each column starting from the righthand side. After all the columns are added, we get the sum of the given numbers.
In a similar way, we subtract 3digit numbers by writing the bigger number on top and the smaller number below it correctly. Then, we subtract each column one by one starting from the ones column and moving on to the tens column, and then the hundreds column. Once all the columns are subtracted, we get the difference of the numbers.
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Examples on 3Digit Subtraction

Example 1: Subtract the 3digit numbers: 769  245.
Solution:
Let us place the numbers one below the other and subtract them.
 Step 1: Subtract the numbers under the ones column. 9  5 = 4. Write the difference (4) in ones column.
 Step 2: Subtract the numbers under the tens column. 6  4 = 2. Write the difference (2) in the tens column.
 Step 3: Subtract the numbers under the hundreds column. 7  2 = 5 Write the difference (5) in the hundreds column.
This was threedigit subtraction without regrouping and the difference between the given numbers is 524.

Example 2: Find the difference between the 3digit numbers: 463  174
Solution:
Let us subtract 174 from 463.
 Step 1: Start subtracting the numbers under the ones column. We can see that 3 is less than 4. So, let us borrow 1 from the tens column which will make it 13. Now, 13  4 = 9. Write the difference (9) in ones column.
 Step 2: Moving on to the tens column, we know that after giving 1 to the ones column in the previous step, the '6' in the tens column changes to 5. But 5 is again smaller than 7. So, let us borrow 1 from the hundreds column, which will make it 15. Now, 15  7 = 8. We will write the difference (8) in the tens column.
 Step 3: Now, let us subtract the numbers under the hundreds column. Since 1 was given to the tens column, the '4' in the hundreds column changes to 3. Now, 3  1 = 2, so we will write the difference (2) in the hundreds column. Thus, after subtracting all the 3 digits, we get the difference as 289.
This was 3digit subtraction with regrouping and the difference between the given numbers is 289.

Example 3: Write true or false for the following statements.
a.) 3digit subtraction with regrouping means we can borrow a number from the preceding column.
b.) Threedigit subtraction means both the minuend and the subtrahend should be of 3 digits.
Solution:
a.) True, 3 digit subtraction with regrouping means we can borrow a number from the preceding column.
b.) False, in threedigit subtraction, the minuend should be of 3 digits but the subtrahend can be of 1, 2 or 3 digits.
FAQs on 3Digit Subtraction
What is 3Digit Subtraction in Math?
Threedigit subtraction is the subtraction of numbers in which the minuend consists of 3 digits and the subtrahend can be of either 1, 2, or 3 digits. In subtraction, we need to remember that the minuend as a whole should be larger than the subtrahend. We subtract 3digit numbers columnwise, starting from the ones column, moving on to the tens column and then to the hundreds column. 3 digit subtraction can be done with regrouping or without regrouping depending upon the value of the digits.
What is 3Digit Subtraction Without Regrouping?
3digit subtraction without regrouping means we need not borrow any number when we subtract the given numbers. While subtracting 3digit numbers, if all the digits in the minuend are bigger than the digits in the subtrahend, the subtraction can be easily done. We start subtracting the numbers in the ones column, followed by the tens column, and then the hundreds column. Once all the columns are subtracted, the final answer is obtained. This is called subtraction without regrouping. In such a case, there is no regrouping or borrowing of numbers because all the digits of the minuend are bigger in value than the subtrahend.
How to do 3Digit Subtraction?
In 3digit subtraction, we need to subtract the given numbers after placing them correctly according to their place values. We also need to ensure that the bigger number is placed in the upper row, while the smaller number is placed below it. After aligning them into columns of ones, tens and hundreds, we start the process of subtraction. We start subtracting the numbers in the ones column, then we move on to the tens column and then to the hundreds column. After the digits in all the columns are subtracted, we get the difference of the given numbers.
What is 3Digit Subtraction With Borrowing?
3digit subtraction with borrowing means we need to regroup the numbers in the minuend because they are smaller than the respective subtrahend. In subtraction, regrouping is also known as borrowing. When we subtract 3digit numbers, sometimes, a digit in the upper row is smaller than the digit in the lower row. In this case, we borrow a number from the preceding column so that the smaller minuend becomes bigger than the subtrahend. This is known as regrouping or borrowing. For example, let us subtract 167 from 485.
 Step 1: After arranging the numbers according to their place value, we start subtracting the digits from ones place. We can see that 5 is smaller than 7. So, we will borrow 1 from the tens column which will make it 15. So, 15  7 = 8. This is known as regrouping or borrowing in subtraction. Now, we will write 8 under the ones column.
 Step 2: After giving 1 to the ones column in the previous step, the '8' in the tens column changes to 7. Now, let us subtract the digits at the tens place and write 1 under the tens column (7  6 = 1).
 Step 3: In the hundreds column, we will subtract 1 from 4 and write 3 in this column. (4  1 = 3). Thus, after subtracting all the columns, we get the difference as 318.
Is 3Digit Subtraction with Regrouping the same as 3 Digit Subtraction With Borrowing?
Yes, 3digit subtraction with regrouping means 3digit subtraction with borrowing. Whenever a number in the minuend is smaller than the respective number in the subtrahend, this number is regrouped by borrowing 1 from the preceding column, so that it becomes larger than the number in the subtrahend and then it can be subtracted easily.
How to do 3Digit Subtraction with Zeros?
In 3digit subtraction, when there are zeros in the subtrahend, it can be easily subtracted. For example, 543  100 = 443. However, when there are zeros in the minuend, we need to regroup and borrow 1 from the preceding column and then subtract the given numbers. For example, let us subtract 500  237.
 After placing the numbers in order, we start from the ones column and we can see that 0 is smaller than 7.
 So, we will borrow 1 from the tens column which will convert the 0 to 10. So, 10  7 = 3.
 It should be noted here that when we had borrowed 1 from the tens column, the digit in the tens column was also 0, so this 0 had to borrow 1 from the hundreds column and then give 1 to the ones column.
 Now, getting back to the subtraction in the tens column, we know that this 0 had changed to 10 when it had borrowed 1, and after giving 1 to the ones column, it became 9. So, we will subtract 9  3 = 6.
 Now, let us move to the hundreds column. Since 5 had given 1 to the tens column, it becomes 4, and 4  2 = 2.
 After all the columns have been subtracted one by one, we get the difference as, 500  237 = 263.
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