Multiplying Decimal Numbers

Multiplication is an important concept of algebra in mathematics and the concept is quite interesting compared to addition and subtraction for the students. Multiplication of decimals is similar to multiplying whole numbers however we place the decimal points in the result. It’s just that you simply might get confused with the position of decimal points.

To help you clear this ambiguity we have curated the multiplying decimals examples covering various problems for finding the product of decimals. 5th Grade Math Students can read this page thoroughly to know about what is meant by multiplication of decimal numbers, how to multiply decimal numbers with a brief explanation, example problems on Multiplication of decimal numbers, and so on.

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What is meant by Multiplication of Decimals?

Multiplication of Decimal is defined as multiplying decimals, first multiply as if there’s no decimal. After that put an equivalent number of digits behind the decimal within the product. Consider an example, multiply 6.20 x 7.1, we have 2 digits behind the decimal in our product because there are 3 digits behind the decimals in the factors.

Steps for Multiplying Decimals

Follow the simple rules for Multiplication of Decimals and know the process for multiplying decimal numbers. They are as follows
1. First, count the whole number of decimal places are contained in both multiplicand and multiplier.
2. Next, ignore the decimal point and right-align the numbers one on top and thus the other at the bottom.
3. Multiply the numbers.
4. Now place a decimal point in the product then it has the same number of decimal places equal to the total.

Let us consider an example in order that you’ll know what’s the multiplication of decimal numbers.
Example: Multiply two decimal numbers 0.33 and 0.2
Solution: Given the values,
There are 2 decimal points in both numbers.
Next, ignore the decimal places and perform the multiplication operation on two integers.
Now, write the product with total decimal places.
Therefore, the multiplication of two decimal numbers 0.33 and 0.2 is 0.066

Multiplying Decimals Examples

Example 1:
Find the value of 3.77 x 2.8?

Solution:
Given the values are 3.77 and 2.8
Now, we will find the value using the multiplication method.
Decimal multiplication is the same as whole number multiplication. First, ignore the decimal places and then continue the multiplication process.
So, the given numbers are 3.77 and 2.8,
After ignoring the decimal places, the values are,
377 x 28 = 10,556.
Now, place the decimal digit, then the value is 10.556
Therefore, the final value of 3.77 x 2.8 is 10.556.

Example 2:
Write the multiplication value of 114.6 x 5.2

Solution:
As given in the question, the values are 114.6 x 5.2
There is a total of 2 decimal places in both numbers.
Next, ignore the decimal places and then continue the multiplication operation on two integers.

Now, rewrite the product with 2 total decimal places from left to right.
Hence, the multiplication of two decimal numbers 114.6 and 5.2 is 595.92

Example 3:
Find the multiplication value of 345.61 x 3.1?

Solution:
Given the multiplication value,
So, the total of 3 decimal places in both numbers.
Next, ignore the decimal places and continue the multiplication.

After performing the multiplication operation, place the decimals.
Then the multiplication of given numbers value is 1071.391.

Example 4:
Ajay runs 6.2 km in 1 hour. Find how many kilometers can Vijay run in 3 hours?

Solution:
As given in the question,
No.of kilometers Ajay can run in 1 hour is 6.2 km.
Now, we have to find No.of kilometers Ajay can run in 3 hours.
So, in 3 hours Ajay runs as,
6.2 km x 3 = 18.6 km
Therefore, Ajay can run 18.6 km in 3 hours.

FAQ’s on Multiplication of Decimal Numbers

1. What is Multiplication of Decimal Numbers?

To multiply decimals, first, multiply as if there’s no decimal. Next, you have to count the number of digits after the decimal in each factor. Finally, put an equivalent number of digits behind the decimal within the product.

2. What are the steps for multiplying decimal numbers?

The following are the steps for multiplying decimal numbers,
Step 1: First, ignore the decimal point and then multiply both the numbers.
Step 2: Next, Count the number of decimal places in the number.
Step 3: Then, place the decimal point within the product such that the number of decimal places within the product and therefore the original decimal number should be the same.

3. Why is it important to understand how do you solve problems involving decimals?

It is helpful to relate the decimal numbers to something you’ll be able to understand easier, such as money.

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