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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)
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