Do Now 10/24/11Do Now 10/24/11Take out your HW from Friday.Take out your HW from Friday.– Text p. 77, #1-4Text p. 77, #1-4

Copy HW in your planner.Copy HW in your planner.– Text p.  80, #14-38 evens, 44-50 evens, 55 & 56Text p.  80, #14-38 evens, 44-50 evens, 55 & 56

Be ready to copy POTW #7Be ready to copy POTW #7

HomeworkHomework Text p. 77, #1-4 all Text p. 77, #1-4 all

1) 500 cans1) 500 cans

2) 76 Empire State 2) 76 Empire State Buildings Buildings

3) 36 black keys 3) 36 black keys

4) 110 Hz4) 110 Hz

ObjectiveObjective

SWBAT write fractions as decimals, write SWBAT write fractions as decimals, write decimals as fractions, and determine decimals as fractions, and determine whether a decimal is terminating or whether a decimal is terminating or repeating.repeating.

Terminating decimalTerminating decimala decimal that comes to an end

0.25 0.625 -0.9875 3.2

Section 2-6, “Equivalent Fractions Section 2-6, “Equivalent Fractions and Decimals”and Decimals”

Repeating decimalRepeating decimala decimal that repeats with the a decimal that repeats with the same pattern foreversame pattern forever

0.333… = 0.30.333… = 0.3

1.8333… = 1.831.8333… = 1.83

-0.727272… = -0.72-0.727272… = -0.72

You can also write a You can also write a repeating decimal by repeating decimal by placing a BAR over placing a BAR over the repeating part.the repeating part.

F DF Dractionraction ecimalecimal

To convert a fraction to a decimal, divide the numerator by the denominator.

Writing Fractions as Decimals Writing Fractions as Decimals

4

3Rewrite the fraction as a Rewrite the fraction as a decimal.decimal.

4

3This means 3 divided by 4.This means 3 divided by 4.

A fraction is the quotient of two integersA fraction is the quotient of two integersRemember

43

340

28 2

75

Finished

.0

20

F DF D

Writing Fractions as PercentsWriting Fractions as Percents

12

5Rewrite the fraction as a decimal.Rewrite the fraction as a decimal.

12

5This means 5 divided by 12.This means 5 divided by 12.

A fraction is the quotient of two integersA fraction is the quotient of two integers

Remember

125

5120

48 2

41

Repeating decimal

.00

12 8

06

72 8

F DF D

-

Writing Improper Fractions as DecimalsWriting Improper Fractions as DecimalsF DF D

9988

11

88 11

11 22

FinishedFinished

..00 00

88 22

00

55

1616

8

9Rewrite the fraction as a decimal.Rewrite the fraction as a decimal.

8

9This means 9 divided by 8.This means 9 divided by 8.

A fraction is the quotient of two integersA fraction is the quotient of two integersRemember

89 444040

54 5

4 =

Writing Fractions as DecimalsWriting Fractions as Decimals

1619 16

19=

When writing a fraction as a decimal, think of the fraction as a division expression. Then divide the numerator by the denominator.

= -0.8= -0.8

= 1.1875= 1.1875

92 9

2= = 0.2222222…= 0.2222222…

= 0.2= 0.2

F DF D

D FD Fractionractionecimalecimal

To convert a decimal to a fraction, use the place value of the last digit to the right of the decimal point as the denominator of the fraction. Then simplify.

Writing Decimals as FractionsWriting Decimals as Fractions

0.710.71 ““seventy-one seventy-one hundredths”hundredths”

100100

D FD F

71711 is in the “hundredths” place

Writing Decimals as FractionsWriting Decimals as Fractions

2.42.4 ““two and two and four tenths”four tenths”

1010

D FD F

444 is in the “tenths” place 22

55 ==Simplify

22 22 1212 55

or

PracticePracticeWhen writing a decimal as a fraction, say and write the fraction. Then simplify the fraction by dividing common factors.

0.80.8 10

8

2

2

5

4

-0.375-0.375 1000

375

125

125

8

3

2.642.64 100

642

4

4

25

66

25

162 or

Decimals = FractionsDecimals = Fractions

““Part or a portion of the Part or a portion of the WHOLEWHOLE””

4 tenths0.40.4

441010

HomeworkHomework– Text p.  80, #14-38 evens, 44-50 evens, 55 & 56Text p.  80, #14-38 evens, 44-50 evens, 55 & 56