| Arithmetic Additive Identity
Arithmetic Progression
Associative Property
Averages
Brackets
Closure Property
Commutative Property
Conversion of Measurement Units
Cube Root
Decimal
Distributivity of Multiplication over Addition
Divisibility Principles
Equality
Exponents
Factors
Fractions
Fundamental Operations
H.C.F / G.C.D
Integers
L.C.M
Multiples
Multiplicative Identity
Multiplicative Inverse
Numbers
Percentages
Profit and Loss
Ratio and Proportion
Simple Interest
Square Root
Unitary Method
Algebra Cartesian System
Order Relation
Polynomials
Probability
Standard Identities & their applications
Transpose
Geometry Basic Geometrical Terms
Circle
Curves
Angles
Define Line, Line Segment and Rays
Non-Collinear Points
Parallelogram
Rectangle
Rhombus
Square
Three dimensional object
Trapezium
Triangle
Quadrilateral
Trigonometry Trigonometry Ratios
Data-Handling Arithmetic Mean
Frequency Distribution Table
Graphs
Median
Mode
Range
Videos
Solved Problems
|
Home >> Decimal >> Multiplication of Decimals >> Multiplication of Decimal with 10, 100, 1000, 10000 >> Multiplication of Decimal with 10, 100, 1000, 10000
Before you understand this topic, you are advice to read:
Define Decimal Point ?
Define Multiplicand ?
Define Multiplier ?
To understand this concept, study the following example:
Example 1: Multiply 23.5678 with 10
Solution : Multiply 23.5678 with 10 and we get:
23.5678 X 10 = 235.678
Now compare the multiplicand and the product:
You can see that digits in multiplicand and product are same. And the difference is only that decimal point is shifted to the right by one place.
Example 2: Multiply 23.5678 with 100
Solution: Multiply 23.5678 with 100 and we get:
23.5678 X 100 = 2356.78
Now compare the multiplicand and the product:
Here again, you can see that digits in multiplicand and product are same. And the difference is only that decimal point is shifted to the right by two places.
From example 1 and example 2, we have two following observations:
1. Observation 1: In both the examples digits in multiplicand and product are same. And the difference is only shifting of decimal point to the right.
2. Observation 2: Number of places decimal point shifts is equal to the number of zero(s) in the multiplier i.e.
In Example 1: decimal point shifted one place and multiplier (10) has one zero
In Example 2: decimal point shifted two places and multiplier (100) has two zeros.
Hence, from above two observations it's concluded that:
When a decimal is multiplied by 10 or 100 or 1000 or 10000 & so on .. The multiplicand and the product remains same and decimal point shifts to the right by as many number of places as there are number of zero(s) in the multiplier.
|
|
