# Multiplication of a Decimal by a Decimal – Definition, Examples | How to Multiply Decimals by Decimals?

In Multiplication of Decimals, you will learn how to multiply a decimal by decimal. While Multiplying Decimals firstly ignore the decimal points and place the decimal point in the product in a way that decimal places in the product are equal to the sum of decimal places in the given numbers. Refer to the complete article to be well versed with details like Procedure for Multiplying Decimals, Solved Examples on Decimal Multiplication explained step by step.

Also, Read: Multiplying Decimal by a Whole Number

## How to Multiply a Decimal by Decimal?

Follow the below-listed guidelines on how or multiply a decimal by decimal. They are along the lines

• Multiply both the numbers as if they are whole numbers and don’t consider the decimal points.
• Place the decimal point after leaving digits equal to the total number of decimal places in both the numbers.
• Remember to count the decimal places from the unit’s place of the product.

### Solved Examples on Multiplying Decimal by a Decimal

1. Find the product of 1.3 × 1.3

Solution:

First while performing the multiplication of decimals ignore the decimal points and perform the multiplication as if they are whole numbers

13

x 13

——–––

39

130

(+)

——–––

169

——–––

Count the total number of decimal places i.e. both in the multiplicant and multiplier together. Now, place the decimal point with as many decimal places are in the given numbers.

Since 2 decimal places are there place the decimal point counting from the unit’s place of the product.

Thus the product becomes 1.69

Therefore, the Product of 1.3 by 1.3 gives 1.69

2. Find the product of 3.5 × 0.06?

Solution:

First while performing the multiplication of decimals ignore the decimal points and perform the multiplication as if they are whole numbers

35

x 6

——–––

210

——–––

Count the total number of decimal points both in multiplicand and multiplier together. Place a decimal point as many decimal places are there in the given numbers.

Since there are 3 decimal places all together in given numbers place a decimal point counting from the unit’s place of the product.

Thus, the product becomes 0.210

Therefore, the product of 3.5 by 0.006 gives 0.210

3. Multiply 118.12 by 3.5?

Solution:

Before performing the decimal multiplication multiply as if they are whole numbers and ignore the decimal points.

11812

x     35

——–––––––

59060

35436

(+)

——–––––––

413420

——–––––––

Count the total number of decimal points both in multiplicand and multiplier together. Place a decimal point as many decimal places are there in the given numbers.

Since there are 3 decimal places all together in given numbers place a decimal point counting from the unit’s place of the product.

Thus, the product becomes 413.420

Therefore, the product of118.12 by 3.5 gives 413.420