# Multiplying 2-Digit Number by 1-Digit Number | How to Multiply Two Digit Number by a One Digit Number?

We already know that multiplication is a repeated process of addition. Multiplication of a two-digit number by a one-digit number is the same as the Multiplying 1-Digit Number. Students have to evaluate the product of 2 digits of multiplicand to one digit of the multiplier. Go through the simple steps on the process of Multiplying 2 Digit Numbers by 1 Digit Numbers. Also, have a look at the solved example questions that are helpful to learn the concept perfectly.

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## How to do 2-Digit by 1-Digit Multiplication?

We have two different methods of multiplying a 2 digit number with a 1 digit number. We will provide the detailed steps of calculating the product of numbers in the following sections.

Method 1:

• Expand the 2 digit number into the sum of tens and ones.
• Multiply the single-digit number by the expanded form.
• Find the sum of numbers to et the product.

Example:
Find 24 x 6
24 = 2 tens + 4 ones
24 x 6 = 2 tens x 6 + 4 ones x 6
= 12 tens + 24 ones
= 120 + 24
= 144

Method 2:

• Get the 2 digit multiplicand and one-digit multiplier.
• Write the numbers in a column form.
• Start multiplication from the unit’s place of the 2 digit number.
• If the product is a 2-digit number, then add the ten’s digit at the carrier section and the unit digit in the column.
• Add the carrier to the product of the next number.

Example:
Calculate 24 x 6

So, 24 x 6 = 144

### Multiplication of 2-Digit Number by 1-Digit Number Examples

Example 1:
Find the product of 58 x 3 using the shorter form, expanded form
Solution:

58 x 3 = 174.
The expanded form of 58 = 5 tens + 8 ones
58 x 3 = 5 tens x 3 + 8 ones x 3
= 15 tens + 24 ones
= 150 + 24
= 174
Therefore, 58 x 3 = 174.

Example 2:
Find the product of 48 x 6?
Solution:
The expanded form of 48 = 4 tens + 8 ones
48 x 6 = 4 tens x 6 + 8 ones x 6
= 24 tens + 48 ones
= 240 + 48
= 288
Therefore, 48 x 6 = 288

Example 3:
Solve the following using shorter form.
(i) 82 x 5
(ii) 67 x 4
Solution:
(i) 82 x 5

Therefore, 82 x 5 = 410
(ii) 67 x 4

Therefore, 67 x 4 = 268

### FAQ’s on Product of 2 Digit Number by 1 Digit Number

1. What is the process of multiplying a two-digit number by one digit number?

Remember the multiplication table of the multiplier. Start multiplying multiplier with the last digit of the multiplicand. If the product is a 2digit number, then add the digit at the ten’s place as the carrier and the digit at the unit’s place at the result section. Next, add a carrier to the next number product.

2. What is a one-digit number?
One digit number is the number that does not have ten’s place or thousands place or so on. We have 10 single-digit numbers, they are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. It can also be stated as the number that lies between 0 and 9 is called the 1 digit number.

3. How do you multiply 28 and 5?

Here, 28 is the multiplicand, 5 is the multiplier and 140 is the product.
So, 28 x 5Â  = 140.

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