Multiplication Of Decimals

1
Multiplication of Decimals
2
Decimal Place
The number of digits after the decimal
is said to be the decimal-place of that
decimal.
E.g- 3.5
1- decimal place.
0.28
2- decimal place.
6.100
3- decimal place.
24
0- decimal place.
3
Multiplication of a decimal by a whole number
2 4 . 2 1
3
x
.
2 4 2 1
decimal-place
2
x
3
decimal-place
0

.
2
7 2 6 3
decimal-place 2
4
Multiplication of a decimal by 10, 100, 1000,
etc.
2 . 4 5 x 10
.
.
2 4 5 x 10
2 4 5 0

2 4 . 5
2
0
2
5
2 . 4 5 x 1 0 0
.
.
2 4 5 x 1 0 0
2 4 5 0 0
2
0

2
2 4 5
2 . 4 5 x 1 0 0 2 4 5
6
We saw that, 2 .4 5 x 1 0
2 4 .5 2 .4 5 x 1 0 0 2 4 5
Observation
After multiplication, the decimal moves as many
as number of places as the number of 0s.
2 .45 x 100
2 .45 x 10
No. of 0 1
No. of 0 2
2 . 4 5
2 . 4 5
2 4 5. 0
2 4 . 5
7
Find the product
a) 46.327 x 10
4 6 3 27
.
463.27
.
b) 0 . 0008 x 1000
0 0 0 0 8
0.8