2 Digit Subtraction
2 digit subtraction refers to the subtraction of numbers when the minuend is of 2 digits and subtrahend is either of 1 digit or 2 digits. While solving 2 digit subtraction problems, we split the numbers into columns using their respective place values, as Ones, and Tens. While solving such problems we may encounter some cases with regrouping and some without regrouping.
In this article, let's learn about 2 digit subtraction with and without regrouping, along with solved examples.
1.  What is 2 Digit Subtraction? 
2.  2 Digit Subtraction without Regrouping 
3.  2 Digit Subtraction with Regrouping 
4.  2 Digit Subtraction Examples 
5.  FAQs on 2 Digit Subtraction 
What is 2 Digit Subtraction?
2 digit subtraction requires splitting the numbers into columns using their respective place values, mainly ones, and tens. In subtraction, the number from which the other number is subtracted is called the minuend, the number which is to be subtracted from the minuend is called the subtrahend. The final result after subtracting the subtrahend from the minuend is called the difference.
The subtraction formula is written as Minuend  Subtrahend = Difference.
When performing 2 digit subtraction, we mostly use the column method. Below given steps are followed for the same.
 Take the numbers, and write them one underneath the other, the minuend first, and then the subtrahend just below it.
 The numbers need to be lined up as per their place values such as the units in line with the unit values, and the tens in line with the tens values.
 Begin with the digits in the right column, and subtract the digits.
 Once the difference is obtained, the corresponding answer is written underneath.
 The same procedure needs to be repeated for the number at tens place.
2 Digit Subtraction without Regrouping
Subtraction without regrouping is also known as subtraction without borrowing. It refers to the cases when the minuend is bigger than the subtrahend. We can use the column method to subtract. We can also solve mentally, for example, the numbers, 30 and 20 are both 2 digit numbers but their difference can be calculated without using pen paper as well.
Let us look at an example and solve it along with the steps for a better understanding. Subtract 27 from 39.
The stepbystep procedure is given below.
 Step 1: Arrange the numbers according to their place value in a vertical manner.
 Step 2: Start subtracting the digits at one's place. Since the number at the top is higher than the number at the bottom, no regrouping/borrowing is required here. Subtract the numbers at the one's place and write the difference. (9  7 = 2)
 Step 3: Now, check for the same at the tens column and write the difference. (3  2 = 1)
Hence, the difference is 12.
2 Digit Subtraction with Regrouping
Subtraction with regrouping is also known as subtraction with borrowing. When the digit at ones place, in the top row is smaller than the digit in the bottom row, we use the regrouping method. While regrouping, we borrow 1 number from the preceding column to make the digit at ones place in the minuend bigger than the digit of the subtrahend. Here are the steps used while subtracting numbers with regrouping:
 Step 1: Arrange the numbers in a vertical manner, according to their place value.
 Step 2: Start with the digits at one's place. Check if the number at the bottom is higher than the top number, then borrow 1 from the tens column which will be combined to the number at the one's place.
 Step 3: After giving 1 to the one's place, the number at the ten's place will reduce by one number.
 Step 4: Now, subtract the numbers at the one's place.
 Step 5: Now considering the digits at the tens place, subtract.
 Step 6: The digits so obtained at ones and the tens place, combine to give the difference.
Just remember as and when we borrow, we subtract the numbers simultaneously. 2digit subtraction with regrouping can be performed by using the steps mentioned above. The place value for 2digit numbers is ones and tens. Let us look at an example and solve it along with the steps for a better understanding. Subtract 18 from 55.
 Step 1: Arrange the numbers according to their place value with the greater number on top.
 Step 2: Now, 5 and 9 are in the one's place and since 5 is smaller than 8, we borrow 1 from the ten's place i.e. 5 which then becomes 4.
 Step 3: The 1 that is borrowed makes 5 as 15. Hence, 15  8 = 7.
 Step 4: Once we have subtracted the one's place, move on to the ten's place. 4  1 = 3.
Hence, the difference between 55 and 18 is 37.
Related Topics
Here are a few topics related to subtraction with regrouping, take a look.
 Subtraction with Complex Numbers
 Addition and Subtraction of Decimals
 Addition and Subtraction of Integers
 Addition With Regrouping
Important Notes
 In subtraction, we always subtract the smaller number from the larger number.
 Always remember to arrange for a 2 digit column subtraction carefully as per the place value of the digits.
 In the case of regrouping as and when we borrow, we subtract the numbers simultaneously.
2 Digit Subtraction Examples

Example 1: Hep Ashley to solve the 2 digit subtraction problem and calculate the difference between 34 and 9.
Solution:

Example 2: Ron collected 74 marbles and Jane collected 89 marbles. Who collected more marbles and by how much?
Solution:
FAQs on 2 Digit Subtraction
What is 2 Digit Subtraction in Math?
2 digit subtraction refers to the subtraction of numbers when the minuend(the number from which the other number is subtracted) is of 2 digits and subtrahend(the number which is to be subtracted from the minuend) is either be 1 digit or 2 digits. It may either involve arranging 2 given numbers vertically to find out the difference or even solving without the use of pen and paper.
How To Do 2 Digit Subtraction with Regrouping?
2 Digit Subtraction with Regrouping is carried out when the digit at the top is smaller than the one at the bottom.
 Step 1: Arrange the numbers in a vertical manner, according to their place value.
 Step 2: Start with the digits at one's place. If the number in the bottom is higher than the top number, we will borrow 1 from the tens column which will be combined to the number at the one's place.
 Step 3: After giving 1 to the one's place, the number at the ten's place will reduce by one number.
 Step 4: Subtract the numbers at the one's place.
 Step 5: Then check for the digits at tens place and subtract accordingly.
What Are the Steps to 2 Digit Subtraction without Regrouping?
Steps to 2 Digit Subtraction without Regrouping are as follows.
 Step 1: Arrange the numbers according to their place value in a vertical manner.
 Step 2: Start subtracting the digits at one's place. Since the number at the top is higher than the number at the bottom, no regrouping/borrowing is required here. Subtract the numbers at the one's place and write the difference.
 Step 3: Now, check for the same at the tens column and write the difference.
How Do you Solve 2 Digit Subtraction Problems?
2 digit subtraction problems can be solved either by regrouping or without regrouping.
 Subtraction with regrouping: When the digit at the top is smaller than the one at the bottom, we take away a number from the next number placed in the next place value.
 Subtraction without regrouping: When the digit at the top is bigger than the one at the bottom and no borrowing is required.
What Is the Rule for 2 Digit Subtraction of Numbers with Borrowing?
Rules for 2 digit subtraction of numbers with borrowing:
 The digit at the top is smaller than the one at the bottom.
 1 borrowed from the tens column combines to the number at the one's place.
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