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Home >> Decimal >> Multiplication of Decimals >> Multiplication of a decimal with another decimal >>

Multiplication of a decimal with another decimal

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 adviced to understand:

What is a Decimal Point ?
What are Decimal Places ?
What is Multiplicand ?
What is Multiplier ?

Multiplication of a two decimals involves following steps:

  • Step 1: Multiply both decimals (ignoring the decimal point)

  • Step 2: Place the decimal point in product so that decimal places in product are equal to the sum of decimal places in multiplicand and multiplier.

    Example - Multiply 5.3 and 1.8

    Step 1: Multiply both decimals (ignoring the decimal point)

       53
    X 18

    Solve the multiplication expression and we get:

       53
    X 18

      954



    Step 2: Place the decimal point in product so that decimal places in product are equal to the sum of decimal places in multiplicand and multiplier.

    Multiplicand 5.3 has one decimal place i.e. digit 3
    Multiplier 1.8 also has one decimal place i.e. digit 8

    And we know that:
    No. of Decimal place in product = sum of decimal places in multiplicand and multiplier
    Therefore, we will place decimal point in product; so that product will have two decimal places and we get:

    Product = 9.54

    Hence, product of 5.3 and 1.8 is equals to 9.54

    Study More Solved Questions / Examples

  • Multiply the following decimals with each other
    A) 9.01 and 2.3
    B) 16.34 and 1.41
    C) (7.217 X 3.28)
    D) (0.234 X 1.478)
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