5.1 rational numbers. find the slope of this line. page 46 of your inb change 5/8 to a decimal and...
TRANSCRIPT
![Page 1: 5.1 Rational Numbers. find the slope of this line. Page 46 of your INB Change 5/8 to a Decimal and 0.3434…to a Fraction](https://reader035.vdocument.in/reader035/viewer/2022062222/56649ea25503460f94ba6253/html5/thumbnails/1.jpg)
5.1 Rational Numbers
![Page 2: 5.1 Rational Numbers. find the slope of this line. Page 46 of your INB Change 5/8 to a Decimal and 0.3434…to a Fraction](https://reader035.vdocument.in/reader035/viewer/2022062222/56649ea25503460f94ba6253/html5/thumbnails/2.jpg)
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.
![Page 3: 5.1 Rational Numbers. find the slope of this line. Page 46 of your INB Change 5/8 to a Decimal and 0.3434…to a Fraction](https://reader035.vdocument.in/reader035/viewer/2022062222/56649ea25503460f94ba6253/html5/thumbnails/3.jpg)
the “ZONE”
Make a plan to
get in the zone!
4
![Page 4: 5.1 Rational Numbers. find the slope of this line. Page 46 of your INB Change 5/8 to a Decimal and 0.3434…to a Fraction](https://reader035.vdocument.in/reader035/viewer/2022062222/56649ea25503460f94ba6253/html5/thumbnails/4.jpg)
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.
![Page 5: 5.1 Rational Numbers. find the slope of this line. Page 46 of your INB Change 5/8 to a Decimal and 0.3434…to a Fraction](https://reader035.vdocument.in/reader035/viewer/2022062222/56649ea25503460f94ba6253/html5/thumbnails/5.jpg)
Have your homework out on your desk.
![Page 6: 5.1 Rational Numbers. find the slope of this line. Page 46 of your INB Change 5/8 to a Decimal and 0.3434…to a Fraction](https://reader035.vdocument.in/reader035/viewer/2022062222/56649ea25503460f94ba6253/html5/thumbnails/6.jpg)
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
![Page 7: 5.1 Rational Numbers. find the slope of this line. Page 46 of your INB Change 5/8 to a Decimal and 0.3434…to a Fraction](https://reader035.vdocument.in/reader035/viewer/2022062222/56649ea25503460f94ba6253/html5/thumbnails/7.jpg)
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
![Page 8: 5.1 Rational Numbers. find the slope of this line. Page 46 of your INB Change 5/8 to a Decimal and 0.3434…to a Fraction](https://reader035.vdocument.in/reader035/viewer/2022062222/56649ea25503460f94ba6253/html5/thumbnails/8.jpg)
A landmark is a recognizable natural or man-made feature used for
navigation.
Landmarks help you know where you are.
![Page 9: 5.1 Rational Numbers. find the slope of this line. Page 46 of your INB Change 5/8 to a Decimal and 0.3434…to a Fraction](https://reader035.vdocument.in/reader035/viewer/2022062222/56649ea25503460f94ba6253/html5/thumbnails/9.jpg)
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
![Page 10: 5.1 Rational Numbers. find the slope of this line. Page 46 of your INB Change 5/8 to a Decimal and 0.3434…to a Fraction](https://reader035.vdocument.in/reader035/viewer/2022062222/56649ea25503460f94ba6253/html5/thumbnails/10.jpg)
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
![Page 11: 5.1 Rational Numbers. find the slope of this line. Page 46 of your INB Change 5/8 to a Decimal and 0.3434…to a Fraction](https://reader035.vdocument.in/reader035/viewer/2022062222/56649ea25503460f94ba6253/html5/thumbnails/11.jpg)
Fractions Decimals
34 0.75
75100
34 0.753 4
Fractions DecimalsREVERSE IT!
Page 47 of your INB
![Page 12: 5.1 Rational Numbers. find the slope of this line. Page 46 of your INB Change 5/8 to a Decimal and 0.3434…to a Fraction](https://reader035.vdocument.in/reader035/viewer/2022062222/56649ea25503460f94ba6253/html5/thumbnails/12.jpg)
0.3
Decimal Place Review
What decimal place is this?
tenth
=
5.347thousandth
= 0.34hundredth
= 0.347thousandth
=
=
![Page 13: 5.1 Rational Numbers. find the slope of this line. Page 46 of your INB Change 5/8 to a Decimal and 0.3434…to a Fraction](https://reader035.vdocument.in/reader035/viewer/2022062222/56649ea25503460f94ba6253/html5/thumbnails/13.jpg)
15 0.2
210
Fractions DecimalsPage 47 of
your INB
![Page 14: 5.1 Rational Numbers. find the slope of this line. Page 46 of your INB Change 5/8 to a Decimal and 0.3434…to a Fraction](https://reader035.vdocument.in/reader035/viewer/2022062222/56649ea25503460f94ba6253/html5/thumbnails/14.jpg)
TRY IT!
![Page 15: 5.1 Rational Numbers. find the slope of this line. Page 46 of your INB Change 5/8 to a Decimal and 0.3434…to a Fraction](https://reader035.vdocument.in/reader035/viewer/2022062222/56649ea25503460f94ba6253/html5/thumbnails/15.jpg)
0.555…What if you have a repeating decimal?
Fractions DecimalsRepeating
0.555… ??? ??? ???
?We can use the
POWER OF TEN TECHNIQUE
(next slide)
![Page 16: 5.1 Rational Numbers. find the slope of this line. Page 46 of your INB Change 5/8 to a Decimal and 0.3434…to a Fraction](https://reader035.vdocument.in/reader035/viewer/2022062222/56649ea25503460f94ba6253/html5/thumbnails/16.jpg)
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
![Page 17: 5.1 Rational Numbers. find the slope of this line. Page 46 of your INB Change 5/8 to a Decimal and 0.3434…to a Fraction](https://reader035.vdocument.in/reader035/viewer/2022062222/56649ea25503460f94ba6253/html5/thumbnails/17.jpg)
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
![Page 18: 5.1 Rational Numbers. find the slope of this line. Page 46 of your INB Change 5/8 to a Decimal and 0.3434…to a Fraction](https://reader035.vdocument.in/reader035/viewer/2022062222/56649ea25503460f94ba6253/html5/thumbnails/18.jpg)
YOU TRY IT!
Homework Problem # 42
0.444…
![Page 19: 5.1 Rational Numbers. find the slope of this line. Page 46 of your INB Change 5/8 to a Decimal and 0.3434…to a Fraction](https://reader035.vdocument.in/reader035/viewer/2022062222/56649ea25503460f94ba6253/html5/thumbnails/19.jpg)
YOU TRY IT!
Homework Problem # 43
0.1222…
![Page 20: 5.1 Rational Numbers. find the slope of this line. Page 46 of your INB Change 5/8 to a Decimal and 0.3434…to a Fraction](https://reader035.vdocument.in/reader035/viewer/2022062222/56649ea25503460f94ba6253/html5/thumbnails/20.jpg)
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
![Page 21: 5.1 Rational Numbers. find the slope of this line. Page 46 of your INB Change 5/8 to a Decimal and 0.3434…to a Fraction](https://reader035.vdocument.in/reader035/viewer/2022062222/56649ea25503460f94ba6253/html5/thumbnails/21.jpg)
Are these numbers Rational?(Can they be written as a Fraction?)
Thumbs Up
Rational
Thumbs down
Not Rational
455−6012
0.34
![Page 22: 5.1 Rational Numbers. find the slope of this line. Page 46 of your INB Change 5/8 to a Decimal and 0.3434…to a Fraction](https://reader035.vdocument.in/reader035/viewer/2022062222/56649ea25503460f94ba6253/html5/thumbnails/22.jpg)
TERMINATINGDECIMALS
0.888…3.
0.0.264
-6.15
0.758574
0.54.123123…
-1.222…
Types of RATIONAL Decimals
REPEATINGDECIMALS
![Page 23: 5.1 Rational Numbers. find the slope of this line. Page 46 of your INB Change 5/8 to a Decimal and 0.3434…to a Fraction](https://reader035.vdocument.in/reader035/viewer/2022062222/56649ea25503460f94ba6253/html5/thumbnails/23.jpg)
RATIONALNUMBERSAll numbers that can be written in the form .
Examples:
Decimals that terminateor repeat.
Examples: 0.356 and 0.555…
![Page 24: 5.1 Rational Numbers. find the slope of this line. Page 46 of your INB Change 5/8 to a Decimal and 0.3434…to a Fraction](https://reader035.vdocument.in/reader035/viewer/2022062222/56649ea25503460f94ba6253/html5/thumbnails/24.jpg)
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
![Page 25: 5.1 Rational Numbers. find the slope of this line. Page 46 of your INB Change 5/8 to a Decimal and 0.3434…to a Fraction](https://reader035.vdocument.in/reader035/viewer/2022062222/56649ea25503460f94ba6253/html5/thumbnails/25.jpg)
Worksheet5.1
RationalNumbers