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  • 12.DividingDecimalsbyDecimals January06,2016

    Warm Up 010616

    Day 75th of school

    1) 12.57 4

    2) 0.91 7

    3) 8.96 4

    4) 6.67 3

    5) 9 12

    Dividing Decimals

    https://www.khanacademy.org/math/arithmetic/decimals/dividing_decimals/v/dividingdecimals

    Divide decimals

    To divide a decimal by a whole number:Use long division.Bring the decimal point up in the answer

    56.08

    28 04

    2

    Yesterday we discussed... To divide a number by a decimal:

    Change the divisor to a whole number by multiplying by a power of 10

    Multiply the dividend by the same power of 10

    Divide

    Bring the decimal point up into the quotient

    divisor ) dividend

  • 12.DividingDecimalsbyDecimals January06,2016

    15.6 6.24

    Multiply the divisor 15.6 by 10, so that 15.6 becomes 156, and the dividend 6.24 must also be multiplied by 10 to become 624.

    156 62.4

    0.234 23.4

    Multiply by 1000, so that the divisor 0.234 becomes 234, and the dividend 23.4 must also be multiplied by 1000 to become 23,400

    234 23400

    Try rewriting these problems so you are ready to divide!

    Rewrite each problem after multiplying the divisor and dividend by a power of 10.

    A)

    B)

    C)

    D)

    4.15 250

    0.08

    0.9

    68.342

    4.2

    678.921

    2.2

    9 6789.21

    22 683.42

    8 420

    250 4.15

    Now do the division for the first two!

    40201640400

    25016501500150015000

    Examples

    A. B.

    1 Divide

    0.78 0.02

  • 12.DividingDecimalsbyDecimals January06,2016

    2

    0.6 4.866

    3

    10 divided by 0.25

    412.03 0.04

    5

    0.012 24.6

  • 12.DividingDecimalsbyDecimals January06,2016

    There are three types of decimals terminating, repeating, and nonterminating, nonrepeating .

    A terminating decimal is a decimal that ends.All of the examples we have completed so far are terminating.

    A repeating decimal is a decimal that continues forever with one or more digits repeating in a pattern.

    A nonterminating, nonrepeating decimal neither repeats nor terminates. What "famous" decimal number do you know of that is this type?

    To denote a repeating decimal, a line, called a vinculum, is drawn above the numbers that repeat, such as 15.32. However, calculators round the last digit and does not show repeating digits.

    Let's consider the following...

    l4Te

    acher

    Notes

  • 12.DividingDecimalsbyDecimals January06,2016

    29 311

    31.0645

    66232214213210088

    120 110100 repeats

    Answer to 0.001 place.

    51.6

  • 12.DividingDecimalsbyDecimals January06,2016

    266.6

    Answer to 0.001 place.

    46.6

    Answer to 0.001 place.

    0.0077

    Answer to 0.0001 place.

    19.133

    Answer to 0.001 place.

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