2 Digit Multiplication
2 digit multiplication or doubledigit multiplication is the same as performing a singledigit multiplication with numbers arranged in their place value. Here, the numbers are arranged in both the tens and one's column and can be multiplied with both 2 digits and a single digit. Let us learn more about 2 digit multiplication, the steps for multiplication, and solve a few examples to understand the concept better.
1.  What is 2 Digit Multiplication? 
2.  2 Digit Multiplication Steps 
3.  2 Digit Multiplication With Carrying 
4.  2 Digit Multiplication With Decimals 
5.  FAQs on 2 Digit Multiplication 
What is 2 Digit Multiplication?
2 digit multiplication is the method of multiplying 2 digit numbers arranged two place values i.e. ones and tens. The method of multiplying numbers is the same as multiplying single digits. However, in double digits, we multiply the number at the one's place first with the whole number and then the tens number with the whole number. 2 digit multiplication can be performed with 2 digit numbers and single numbers. For example, let us look at multiplying doubledigit numbers 23 by 2. We perform the same method of multiplication as singledigit multiplication. We multiply 2 with 3 first then multiply 2 with 2. Hence, 23 × 2 = 46.
2 Digit Multiplication Steps
2 digit multiplication is performed the same way as singledigit multiplication. The multiplication starts with the one's place first and then moves on to the tens place. The doubledigits are written in a vertical manner according to their place value i.e. ones and tens. Once arranged, we start to multiply the bottom number with the top number one by one, one place value at a time. Once we obtain both the numbers through multiplication, we add both the numbers to obtain the final number. Let us see the steps required to perform 2 digit multiplication.
 Step 1: Arrange the 2 digit numbers vertically or columnwise according to their place value. Placement of numbers either top or bottom can be done in any manner.
 Step 2: Start by multiplying the one's numbers from the bottom number by the one's number of the top number.
 Step 3: Multiply the bottom numbers one's number with the top numbers tens number. Make sure the answer of both the ones and tens are placed directly under the numbers vertically.
 Step 4: Once the result is obtained, place a zero under the one's number. This step is very important before we move on to the next step.
 Step 5: Multiply the tens number of the bottom number with the one's number of the top number.
 Step 6: Multiply the tens number of the bottom number with the tens number of the top number. Make sure the answer of both the ones and tens are placed directly under the numbers vertically along with the zero.
 Step 7: Once we have obtained the numbers, add both the results to obtain the final result.
Let us look at an example for a better understanding. Multiply 34 by 12.
Step 1: Arrange 34 and 12 vertically or columnwise with any number on top and bottom but in their place value.
Step 2: Multiply 2 with 4 from 34 which is the one's number. 2 × 4 = 8.
Step 3: Multiply 2 with 3 from 34 which is the tens number. 2 × 3 = 6.
Step 4: Place a zero under the result obtained. This helps in blocking the space at the one's position to proceed multiplication with tens place. This step is important.
Step 5: Multiply 1 from 12 by 4 from 34. 1 × 4 = 4.
Step 6: Multiply 1 from 12 by 3 from 34. 1 × 3 = 3.
Step 7: Once both the numbers are obtained, a simple addition is required to obtain the final result. 68 + 340 = 408.
Therefore, 34 × 12 = 408.
2 Digit Multiplication With Carrying
2 digit multiplication with carrying applies the same steps as mentioned above. However, when a number is carried forward we add it with the numbers while multiplication. Multiplication with carrying of doubledigit numbers can be performed with a singledigit number and doubledigit number. The 2 main steps for doubledigit multiplication with carrying along with the steps above are:
 If the number is more than 9, we carry the tens number to the tens position and write the one's number under the line in the one's position.
 While multiplying the tens number, we add the number that is carried forward to obtain the result.
Let us look at an example with multiplying a 2 digit number with a singledigit number with carrying. Multiply 45 × 6.
Write 45 and 6 vertically or columnwise. Start multiplying 6 by 5. 6 × 5 = 30. 3 is carried forward and 0 is written in the one's position.
Multiply 6 by 4. 6 × 4 = 24. Here, we add the carried forward number along with 24 to obtain the final result.
Therefore, 45 × 6 = 270.
2 Digit Multiplication With Decimals
2 digit multiplication with decimals is done in the same manner as normal multiplication of doubledigits. While multiplying we can ignore the decimal point until we have obtained the final result. Once the final result is obtained, we count the number of decimal spaces from both the numbers and place the decimal point according to that. The steps for 2 digit multiplication with a decimal point are:
 Step 1: Arrange the numbers vertically according to the place value. Do not align the numbers based on the decimal point.
 Step 2: Perform normal multiplication by multiplying the one's number of the bottom number with the top number.
 Step 3: Place a zero below the one's number after the first result is obtained.
 Step 4: Multiply the ten's number with the whole top number and place the result below the first result.
 Step 5: Add the two results to obtain the final result.
 Step 6: Place the decimal point in the final result starting from the right, moving places towards the left according to the sum of the decimal points of both the whole numbers.
Let us look at an example for a better understanding. Multiply 2.5 × 1.1.
Therefore, 2.5 × 1.1 = 2.75.
Related Topics
Listed below are a few topics related to 2 digit multiplication, take a look.
Examples on 2 Digit Multiplication

Example 1: Multiply the 2 digits 67 × 20.
Solution:
 Multiply 0 with both 7 and 6.
 Place a zero after the first result.
 Multiply 2 with both 7 and 6.
 Add the products to obtain the final answer.
Therefore, 67 × 20 = 1340.

Example 2: Multiply 31.30 × 7.8
Solution: 2 digit multiplication with decimals is done in the normal manner as multiplication.
 Multiply 8 with 0, 3, 1, and 3.
 Place a zero after the first result.
 Multiply 7 with 0, 3, 1, and 3
 Add the products to obtain the final answer
 Place the decimal points according to the sum of the decimal points of both the numbers.
Therefore, 31.30 × 7.8 = 244.140.

Example 3: Multiply the 2 digits 89 × 11.
Solution:
 Multiply 1 with both 9 and 8.
 Place a zero after the first result.
 Multiply 1 with both 9 and 8.
 Add the products to obtain the final answer.
Therefore, 89 × 11 = 979.
FAQs on 2 Digit Multiplication
What is 2 Digit Multiplication?
A 2 digit multiplication is a method of multiplying 2 digits together. The numbers are placed vertically or columnwise according to their place value and start multiplying the top number with the bottom number one number at a time. 2 digit multiplication can be done with singledigits, 2digits, and 3digits.
How Do You Do 2 Digit Multiplication?
The steps to do 2 digit multiplication is:
 Arrange the numbers vertically with one on top and one below that.
 Start multiplying the one's number from the bottom number with the whole top number.
 Place a zero in the one's position of the first result.
 Start multiplying the ten's number from the bottom number with the whole top number.
 Add the products of both the results to obtain the final result.
How Do You Multiply Decimals With 2 Digit Numbers?
2 digit multiplication with decimals is performed the normal way as multiplication with keeping the decimal point till the end. Once the final result is obtained, we place the decimal point starting from the right moving towards the left according to the sum of the decimal points in the whole numbers. For example: 5.2 × 23 = 119.6.
How Do You Multiply 2 Digit Numbers With Regrouping?
2 digit multiplication with regrouping is done in a simple manner. Regrouping means carrying forward a number to the next place value if the number is more than 9. In multiplication, while multiplying the one's number from the bottom number if the total of the one's number is more than 9 we carry forward the ten's number to the next preceding number. While multiplying the next number, we add the carried forward number along with the product. Regrouping is done in a similar manner as addition and subtraction.
How Do You Do 2 Digit by 1 Digit Multiplication?
2 digit by 1 digit multiplication is done the same way as singledigit multiplication. The doubledigit is written on the top and the 1 digit is written in the bottom, vertically. We start multiplying the bottom digit with the one's number of the top number then move on to the ten's number. If the product of the one's is more than 9, we carry forward the ten's number to the ten's position. While multiplying the ten's number with the bottom number we add the carried forwarded number as well.
How Do You Do 2 Digit by 2 Digit Multiplication?
2 digit by 2 digit multiplication is the process of multiplication where the numbers are arranged vertically with one number on top and the other number at the bottom. Start multiplying the one's number from the bottom number with the whole number on top and place the product after the line. A zero is required to be placed in the one's position below the first result to align the numbers properly. Start multiplying the ten's number from the bottom number with the whole number on top and place the product. Once both the results are obtained, a simple addition is performed to obtain the final result.
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