Learn multiplying decimals concept. In mathematics, the decimal values are most important one. The decimal values will display an accurate value. Commonly, the decimal values will form from the fraction number. Here, we are going to discuss the topic of decimal multiplication and their rules with some example problems. We need to multiply the decimal values. The decimal value of the fraction $\frac{2}{4}$ is 0.5.

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Many rules for multiplying decimals values; some of them are following below :

**Step 1:** we need to convert the decimal value into real value then we can easily multiply the value.

**Step 2:** Now, we need to check how many digits are present after the point.

**Step 3**: If only one digit is present after the value then we need to multiply with the value 10 for removing the point.

For example, 0.5

Here 0.5 is the decimal value we are going to multiply with the value 10

$\frac{0.5\times10}{10}$ = $\frac{5}{10}$

If there are two digits present after the point we need to multiply with the value 100 for removing the point.

$\frac{0.55\times100}{100}$ = $\frac{55}{100}$

If there are three digits present after the point we need to multiply with the value 1000 for removing the point.

$\frac{0.555\times1000}{1000}$ = $\frac{555}{1000}$

Below are examples on multiplying with decimals :

First, we need to convert the given decimal number into real number

The value 12.5 has only one present after the point, so we need to multiply 10 with the given number

$\frac{12.5\times10}{10}$ = $\frac{125}{10}$

Then the next number 5.5, this number also has only one digit after the point, so

$\frac{5.5\times10}{10}$ = $\frac{55}{10}$

Now, we are going to multiply the numbers

1 2 5

× 5 5

---------------

6 2 5

6 2 5 +

-----------------

6 8 7 5

-----------------

Now, divide the answer by 100

$\frac{6875}{100}$

First, we need to convert the given decimal number into real number

The value 95.210 has three digits after the point actually, there are three digits present but we need not consider the value zero, so we are going to multiply 100 with the given number

$\frac{95.210\times100}{100}$ = $\frac{9521}{100}$

Then the next number 4.28, this number has two digits after the point, so

$\frac{4.28\times100}{100}$ = $\frac{428}{100}$

Now, we are going to multiply the numbers

9 5 2 1

× 4 2 8

-------------------------

7 6 1 6 8

1 9 0 4 2 +

3 8 0 8 4 + +

----------------------------

4 0 7 4 9 8 8

-----------------------------

Now divide the answer by 10000

$\frac{4074988}{10000}$

Write this as 118

x 4

-------------

472

--------------

There is one figure after the decimal point in the question, so there must be only one after the point in the answer.

11.8 x 4 = 47.2

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