d) Multiply Decimals

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    DECIMALSRounding Decimals Review

    andMultiplying Decimals

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    ___ , ___ ___ ___ ___ ___ ___ ___

    Thousands

    Hu

    ndreds

    Tens

    Ones

    Tenths

    Hundredths

    Thou

    sandths

    TenThousandths

    5 1 8 2 1

    Read as 518 and 21 hundredths

    Decimals are read as and

    Rounding Review

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    Find the number. Circle it.Look next door.4 or less just ignore.

    5 or more add one more.Example: Round 5368 to nearest hundreds.

    Circle the 3 in the hundreds place.

    Look next door at the 6.It is 5 or more so add 1 more to the

    hundreds place.

    5368 rounds to 5400

    Rounding Review

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    Round to the

    nearesttenths

    2.876

    2.9

    Round to the

    nearest hundredths

    31.6999

    31.70

    Rounding Review

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    Round to thenearest tenths

    3.478

    3.5

    Round to thenearest hundredths

    22.5972

    22.60

    Rounding Review

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    Steps for Multiplying Decimals

    Step 1: Write the problem vertically.

    Step 2: Ignore the decimal point(s) and multiply.

    Step 3: Determine where the decimal pointgoes in the product.

    Place the decimal point in the answerby counting how many places thedecimal point has moved.

    Multiplying Decimal

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    Multiply 3 x 0.14

    0.14 3 x 0.14

    =

    0.42

    Multiplying Decimal

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    Multiply 3 x 0.14

    2

    Step 1: Write the problem vertically0.14

    x 3 Step 2: Ignore the decimal pointsand multiply

    Step 3: Determine where the decimal

    point goes in the product.

    The decimal moves two placesto the left

    1

    40

    0.42

    Multiplying Decimal

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    Multiply 5 x 0.18

    0.18 5 x 0.18

    =

    0.90

    Multiplying Decimal

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    Multiply 5 x 0.18

    0

    Step 1: Write the problem vertically0.18

    x 5 Step 2: Ignore the decimal pointsand multiply

    Step 3: Determine where the decimal

    point goes in the product.

    The decimal moves two places to the left

    4

    90

    0.90

    Multiplying Decimal

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    Multiply 0.2 x 0.6

    0.2 0.6

    =

    0.2

    Multiplying Decimal

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    Multiply 0.2 x 0.6

    0.2 0.6

    =

    0.2 x 0.6

    Multiplying Decimal

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    Multiply 0.2 x 0.6

    0.2 0.6

    =

    0.2 x 0.6

    = 0.12

    Multiplying Decimal

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    Multiply 0.2 x 0.6

    2

    Step 1: Write the problem vertically0.2

    x 0.6 Step 2: Ignore the decimal pointsand multiply

    Step 3: Determine where the decimal

    point goes in the product.

    The decimal moves two places to the left

    10

    0. 12

    Multiplying Decimal

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    Multiply 0.4 x 0.7

    0.4 0.7

    =

    0.4

    Multiplying Decimal

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    Multiply 0.4 x 0.7

    0.4 0.7

    =

    0.4 x 0.7

    Multiplying Decimal

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    Multiply 0.4 x 0.7

    0.4 0.7

    =

    0.28

    Multiplying Decimal

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    Multiply 0.4 x 0.7

    8

    Step 1: Write the problem vertically0.4

    x 0.7 Step 2: Ignore the decimal pointsand multiply

    Step 3: Determine where the decimal

    point goes in the product.

    The decimal moves two places to the left

    20

    0. 28

    Multiplying Decimal

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    Multiplying Decimal200

    x .250+

    5000

    0001 004

    Move thedecimaltwo placesto the left inyour answer.

    .

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    Multiplying DecimalHOW MANY DECIMAL PLACES?

    1 decimal place3.1

    2) (0.4)(2.53)

    0.4 2.53

    1) 3.1(0.28)

    1.012

    0.28 2 decimal places0.868 1 + 2 = 3 decimal places

    1 decimal place2 decimal places

    1 + 2 = 3 decimal places

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    Multiplying Decimal1) 0.16

    x 30

    000 084084

    12) 70

    x 1.2

    041 007048

    +

    3)

    1

    0.0048

    x 32

    690 044635

    1

    11

    2

    0

    0

    1

    0

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    Evaluate The Power

    Anexponent

    tells how many times anumber is multiplied by itself.

    34

    BaseExponent

    3 is written as 3 3 3 3 = 814

    This exponent is read three to the fourth power.

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    Evaluate The Power

    Evaluate (0.2)2

    4

    This means (0.2)(0.2)0.2

    x 0.2

    The decimal goes moves two places to the left

    00

    0. 04

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    Calculate Area With Decimals

    4 in.

    0.58in. Area = base x heightMultiply 4 x 0.58

    2

    0.58

    x 4

    The decimalmoves two

    places to the

    left.

    3

    32

    2.32 in2

    2

    Area is

    square units!

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    THE END!!!Take out your study guide

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    Multiply 0.4 x 0.14

    6

    Step 1: Write the problem vertically0.14

    x 0.4Step 2: Ignore the decimal points

    and multiply

    Step 3: Determine where the decimal

    point goes in the product.

    The decimal moves3 placesto theleft.

    1

    50

    0.056

    Multiplying Decimals#5

    0

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    Evaluate The Power

    Evaluate (0.5)

    2

    5

    This means (0.5)(0.5)

    0.5

    x 0.5The decimalmoves two

    places to the left. 20

    0. 25

    #6

    2

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    2 in.

    0.98 in Area = base x height

    # 7

    Multiply 2 x 0.98

    6

    0.98

    x 2

    The decimal

    moves two

    places to theleft.

    1

    91

    1.96 in2

    1

    Area is

    square units!

    TheArea(A)is the number ofsquare units

    needed to cover a figure.