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 a whole number >>

Multiplication of decimal with a whole number

Properties Multiplication of Decimals Multiplication of a decimal with another decimal Multiplication of decimal with a whole number Multiplication of Decimal with 10, 100, 1000, 10000

Before you understand this topic; you are advice to understand:

What is a decimal point ?
What are decimal places ?

Multiplication of a decimal and a whole number involves following steps:

  • Step 1: Multiply decimal and whole number (ignoring the decimal point)

  • Step 2: Place the decimal point so that product and decimal have same number of decimal places.


    Example - Multiply 4.9 and 54

  • Step 1: Multiply the decimal 4.9 and whole number 54 (ignoring the decimal point) and we get:

       49
    X 54

    Solve the multiplication operation and we get:

       49
    X 54

    2646



  • Step 2: Place the decimal point so that product 2646 and given decimal 4.9 have same number of decimal places.

    Here, we can see that given decimal 4.9 have one decimal place i.e. digit 9

    And we will place decimal point in product so that product also has one decimal place & we get:

    Product = 264.6 (having one decimal place i.e. digit 6)

    Hence, product of 4.9 and 54 = 264.6

    Study More Solved Questions / Examples

  • Multiply the following decimals with whole number
    A) 247 and 1.3
    B) (3.64 X 7)
    C) (63 X 4.32)
    D) (13.001 X 18)
  • Copyright@2022 Algebraden.com (Math, Algebra & Geometry tutorials for school and home education)