How to multiply decimals without a calculator

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  • How to multiply decimals in your head
  • How to multiply decimals by decimals...

    Multiplying Decimals

    Multiply without the decimal point, then re-insert it in the correct spot!

    How to Multiply Decimals

    Just follow these steps:

    • Multiply normally, ignoring the decimal points.
    • Then put the decimal point in the answer - it will have as many decimal places as the two original numbers combined.

    In other words, just count up how many numbers are after the decimal point in both numbers you are multiplying, then the answer should have that many numbers after its decimal point.

     

    Example: Multiply 0.03 by 1.1

    start with:

    0.03 × 1.1

    multiply without decimal points:

    3 × 11 = 33

    0.03 has 2 decimal places,
    and 1.1 has 1 decimal place,

    so the answer has 3 decimal places:

    0.033

     

    How Does It Work?

    Because when you multiply without the decimal point, you are really shifting the decimal point to the right to get it out of the way:

    Original:
    1 Move:
    2 Moves:
    3 Moves:
    0.03 × 1.1   0.3 × 1.1   3. × 1.1   3. × 11.

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