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    Multiplying Decimals: How To Multiply Decimals

    Uploaded by

    Nilo Valera
    To multiply decimals: 1) Multiply the numbers without regard to the decimal points. 2) Count the total number of decimal places in the original numbers. 3) Place the decimal point in the answer so that it has the same number of decimal places as the total from the original numbers.

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    Multiplying Decimals: How To Multiply Decimals

    Uploaded by

    Nilo Valera
    20 views2 pages
    To multiply decimals: 1) Multiply the numbers without regard to the decimal points. 2) Count the total number of decimal places in the original numbers. 3) Place the decimal point in the answer so that it has the same number of decimal places as the total from the original numbers.

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    Multiplying Decimals

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    To multiply decimals: 1) Multiply the numbers without regard to the decimal points. 2) Count the total number of decimal places in the original numbers. 3) Place the decimal point in the answer so that it has the same number of decimal places as the total from the original numbers.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    20 views2 pages

    Multiplying Decimals: How To Multiply Decimals

    Uploaded by

    Nilo Valera
    To multiply decimals: 1) Multiply the numbers without regard to the decimal points. 2) Count the total number of decimal places in the original numbers. 3) Place the decimal point in the answer so that it has the same number of decimal places as the total from the original numbers.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    of 2

    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

    See the Multiplying Decimals Animations

    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.

    Then we do the (now easy) multiplication:

    3. × 11. = 33.
    But remember, we did 3 Moves of the decimal point, so we need to undo that:

    3 Moves: 2 Moves: 1 Move: Correct


    33. 3.3 0.33 0.033

    Here are some more examples:

    Example: Multiply 0.25 by 0.2


    start with:   0.25 × 0.2
    multiply without decimal points:   25 × 2 = 50
    0.25 has 2 decimal places,
    and 0.2 has 1 decimal place,  
    so the answer has 3 decimal places: 0.050
    Example: Multiply 102 by 0.22
    start with:   102 × 0.22
    multiply without decimal points:   102 × 22 = 2244
    102 has 0 decimal places,
    and 0.22 has 2 decimal place,  
    so the answer has 2 decimal places: 22.44

    Common Sense
    As a final check you can put your "common sense" hat on and think "is that
    the right size?", because you don't want to pay ten times too much for
    anything, nor get only one-tenth of what you need!

    And that's all.

    Just remember: the answer should have the same number of decimal
    places as are in both the numbers you are multiplying.

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