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 >> Division of Decimals >> Division of decimal by 10, 100, 1000, 10000 >>

Division of decimal by 10, 100, 1000, 10000

Division of Decimal by a Whole Number (zero) Division of Decimal by a Whole Number (not zero) Division of Decimal by another Decimal Division of Whole Number by Decimal Division of decimal by 10, 100, 1000, 10000

Before you understand this topic, you are advice to read:

Define Decimal Point
Define Dividend
Define Divisor
Define Quotient
How to multiply decimal with whole number

To understand this concept, study the following example:

Example 1: Divide 2356.78 with 10

Solution: Divide 23.5678 by 10 and we get:

2356.78 ÷ 10 = 235.678

Now compare the dividend and the quotient:
You can see that digits in dividend and the quotient are same. And the difference is only that decimal point is shifted to the left by one place.



Example 2: Divide 2356.78 with 100

Solution: Divide 2356.78 with 100 and we get:

2356.78 ÷ 100 = 23.5678

Now compare the dividend and the quotient:
Here again, you can see that digits in dividend and the quotient are same. And the difference is only that decimal point is shifted to the left by two places.



From example 1 and example 2, we have two following observations:

  • Observation 1: In both the examples, digits in dividend and quotient are same. And the difference is only shifting of decimal point to the left.

  • Observation 2: Number of places decimal point shifts is equal to the number of zero(s) in the divisor i.e.

    In Example 1: decimal point shifted one place and divisor (10) has one zero
    In Example 2: decimal point shifted two places and divisor (100) has two zeros.

    Hence, from above two observations it is concluded that:
    When a decimal is divided by 10 or 100 or 1000 or 10000 & so on, The dividend and the quotient remains same and decimal point shifts to the left by as many number of places as there are number of zero(s) in the divisor.

  • Copyright@2022 Algebraden.com (Math, Algebra & Geometry tutorials for school and home education)