LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

MULTIPLICATION OF DECIMAL NUMBER

__Multiplication of Decimal Numbers__

**Multiplication of
decimal number is required for the measuring purpose of length, width of the land,
finding distance or measurement of cloths and so on. By multiplication of
decimal numbers we can solve out the complex calculations which are very much
required for measurement of area and house building and decimal multiplication
calculation is very effective for solving chemical & physics related
equations also.**

**Example.1) 3.2 x 15 = ?**

**Step.1)****
Multiply these two numbers by considering both numbers are as a whole
numbers ignoring the decimal point.**

**Step.2)**** Count the number of decimal places for both the number ‘Multiplicand’ and
‘Multiplier’ and add the number of decimal places ( 3.2 = 1 decimal
places and 15 = 0 or nil decimal places; so, total decimal places
are 1 + 0 = 1 decimal place )**

**Step.3)****
Put the decimal point in the product from the right, after as many digits
as the total number of decimal places is obtained from ‘Multiplicand’ and
‘Multiplier’. So, the answer is 48.0 (one decimal place as obtained
from both the Number ‘Multiplicand’ and ‘Multiplier’).**

**Example.2) 2.12 x 2.5 = ?**

**Step.1)**** Multiply these two numbers by considering both numbers are as a whole
numbers ignoring the decimal point.**

**Step.2)****
Count the number of decimal places for both the number ‘Multiplicand’ and
‘Multiplier’ and add the number of decimal places ( 2.12 = 2 decimal
places and 2.5 = 1 decimal places; so, total decimal places are 2 +
1 = 3 decimal places ) **

**Step.3)**** Put the decimal point in the product from the right, after as many digits as
the total number of decimal places is obtained from ‘Multiplicand’ and
‘Multiplier’. So, the answer is 5.300 (three decimal places as obtained from both the number ‘Multiplicand’ and ‘Multiplier’).**

__Important Fact about Decimal Multiplication__

**1) On multiplying a decimal by 10, the decimal point moves one place to the right.**

**2) On multiplying a decimal by 100, the decimal point moves two places to the right. **

**3) On multiplying a decimal by 1000, the decimal point moves three places to the
right. **

**4) On multiplying a decimal by 10000, the decimal point moves four places to the
right. **

**5) On multiplying a decimal by 100000, the decimal point moves five places to the right.
Continues……..**

**6) Multiplication of
any decimal number with zero ‘0’, the product always must be zero ‘0’.**

**7) Multiplication of
any decimal number with 1, the product always must be the same number itself.**