5.1 Rational Numbers

find the slope of this line.

Hand backTESTS!

i-canPage 46 of

your INB

Change 5/8 to a Decimal and

0.3434…to a Fraction.

the “ZONE”

Make a plan to

get in the zone!

4

ITEMS of BUSINESS

• Rework is due NEXT CLASS PERIOD – Dec 2 or 3. This is a homework assignment. I do not accept late rework for credit.

• Make plans to retake the test if you need to. - Practice Test completed - REWORK completed - 3x5 card made - schedule a time to retake* Last day to retake will be DEC 9th.

Have your homework out on your desk.

RE-Hey You. Try this CHALLENGE question:

Round decimal expansion to the tenth place.Show your work.

1.00.9545…look at 5 in the hundredth place.

It causes 9 to bump up 10, which makes 1.0

Get into your 4-Square Groups

i-canChange 5/8 to a Decimal and

0.3434…to a Fraction.

Page 46-47 of your INB

MEMORIZE

A landmark is a recognizable natural or man-made feature used for

navigation.

Landmarks help you know where you are.

Benchmark Fractions

are like

Landmarks12

0.5 10

If you know where is

Then you can picture where

0.475

& 0.528 are

12

0.475

0.528 near12

Benchmark FractionsMEMORIZE!!

1) = _____ 2) = _____ 3) = _____

4) = _____ 5) = _____ 6) = _____ 7) = _____ 8) = _____ 9) = _____

0.50.25 0.75

0. 0. 0.125

0.375 0.625 0.875

14

13

34

12

23

18

38

58

78

Fractions Decimals

34 0.75

75100

34 0.753 4

Fractions DecimalsREVERSE IT!

Page 47 of your INB

0.3

Decimal Place Review

What decimal place is this?

tenth

=

5.347thousandth

= 0.34hundredth

= 0.347thousandth

=

=

15 0.2

210

Fractions DecimalsPage 47 of

your INB

TRY IT!

0.555…What if you have a repeating decimal?

Fractions DecimalsRepeating

0.555… ??? ??? ???

?We can use the

POWER OF TEN TECHNIQUE

(next slide)

Converting Repeating Decimals to Fractions

0.2121…

0.555… 10x = 5.555… - x = -0.555… 9x = 5 x =

100x = 21.2121… - x = -0.2121… 99x = 21 x = 7

33

Assign: x = 0.555…

Assign: x = 0.2121…

Page 47 of your INB

Converting Repeating Decimals to Fractions

1.6555 … 100x = 165.555… -10x = -16.555… 90x = 149 x =

Assign: x = 1.6555…

Page 47 of your INB

YOU TRY IT!

Homework Problem # 42

0.444…

YOU TRY IT!

Homework Problem # 43

0.1222…

Rational Number

What is that?

o Rational numbers include all numbers that

can be written in the form , where and are both integers and

A Rational Number is a number that can be written as a FRACTION

Are these numbers Rational?(Can they be written as a Fraction?)

Thumbs Up

Rational

Thumbs down

Not Rational

455−6012

0.34

TERMINATINGDECIMALS

0.888…3.

0.0.264

-6.15

0.758574

0.54.123123…

-1.222…

Types of RATIONAL Decimals

REPEATINGDECIMALS

RATIONALNUMBERSAll numbers that can be written in the form .

Examples:

Decimals that terminateor repeat.

Examples: 0.356 and 0.555…

change 5/8 to a Decimaland 0.3434…to a Fraction.

i-can

Page 46 of your INB

100x = 34.3434… - x = 0.3434… 99x = 34 x =

Assign: x = 0.3434…

5/8 = 0.625

Worksheet5.1

RationalNumbers