##
**
Multiplication of Decimals
**

While multiplying decimals

- We remove decimal point, and convert into fractions
- We try to make denominator as 10, 100, 1000, … and solve
- And in the end, we convert fraction into decimals|

Let’s take some examples

**
2.83 × 4
**

= 2.83/100 × 4

= (283 × 4)/100

= 1132/100

= 11.32

**
2.3 × 4.5
**

= 23/10 × 45/10

= (23 × 45)/100

= (45 × 23)/100

= 1035/100

= 10.35

**
6.7 × 100
**

= 67/10 × 100

= 67 × 10

= 670.

**
0.008
**
**
×
**
**
10
**

= 0008/1000 × 10

= 8/1000 × 10

= 8/100

= 008/100

= 0.08

**
0.2 × 0.4
**

= 02/10 × 04/10

= 2/10 × 4/10

= (2 × 4)/(10 × 10)

= 8/100

= 008/100

= 0.08