Transcript You Try it! - davis.k12.ut.us

5.1 Rational Numbers
Page 46 of
your INB
find the
Change
5/8 slope
to a Decimal and
of this0.3434…to
line.
a Fraction.
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.
Hey You. Try this CHALLENGE question:
Round
21
22
decimal expansion to the tenth place.
Show your work.
1.0
0.9545…look at 5 in the hundredth place.
It causes 9 to bump up 10, which makes 1.0
Get into your 4-Square Groups
Change 5/8 to a Decimal and
0.3434…to a Fraction.
MEMORIZE 
Page 46-47
of your INB
A landmark is a recognizable natural or
man-made feature used for navigation.
Landmarks help you know where you are.
Benchmark Fractions
are like
If you know where
Landmarks
1
is
2
Then you can picture where 0.475 & 0.528 are
0.475
0
1
2
0.528
0.5
1
near 2
1
Benchmark Fractions
MEMORIZE!!
1
1)
4
0.25
= _____
1
2)
2
0.5
= _____
3)
3
4
0.75
= _____
1
4)
3
0.3
= _____
2
5)
3
0.6
= _____
1
6)
8
0.125
= _____
3
7)
8
0.375
= _____
8)
5
8
0.625
= _____
9)
7
8
0.875
= _____
1
8
1
4
1
3
3
8
1
2
52
83
3
4
7
8
Fractions
3
4
Decimals
Page 47 of
your INB
3÷4
0.75
REVERSEDecimals
IT!
Fractions
3
4
75
100
0.75
Decimal Place Review 
What decimal place is this?
0.3 =
3
10
0.34
tenth
0.347
=
34
=
100
17
=
hundredth 50
347
1000
thousandth
5.347 =
5347
1000
thousandth
Fractions
Decimals
Page 47 of
your INB
1
5
2
10
0.2
Repeating
Fractions
Decimals
What if you have a repeating decimal?
?
0.555…
5
555
55
???
???
???
1000 100 10
We can use the
POWER OF TEN
TECHNIQUE
(next slide)
0.555…
Converting Repeating
Decimals to Fractions
0.555…
Assign: x = 0.555…
0.2121…
Assign: x = 0.2121…
Page 47 of
your INB
10x = 5.555…
- x = -0.555…
9x = 5
5
x =
9
100x = 21.2121…
- x = -0.2121…
99x = 21
21
7
x =
33
99
𝑅𝑒𝑑𝑢𝑐𝑒 𝑡𝑜
𝐿𝑜𝑤𝑒𝑠𝑡 𝑇𝑒𝑟𝑚𝑠
Converting Repeating
Decimals to Fractions
1.6555 …
Assign: x = 1.6555…
Page 47 of
your INB
100x = 165.555…
-10x = -16.555…
90x = 149
149
x =
90
Homework Problem # 42
0.444…
Homework Problem # 43
0.1222…
Rational Number
What is that?
o Rational numbers include all numbers that can be
𝑎
written in the form , where 𝑎 and 𝑏 are both
𝑏
integers and 𝑏 ≠ 0.
A Rational Number is a number that
𝑎
can be written as a FRACTION
𝑏
Are these numbers Rational?
(Can they be written as a Fraction?)
Thumbs Up
Rational
0.3
41
4
2
5
−6
50
Thumbs down
Not Rational
Types of RATIONAL Decimals
TERMINATING
DECIMALS
-1.222…
0.758574
0.888…
3.35
0.264
0.4
-6.15
0.5
4.123123…
REPEATING
DECIMALS
RATIONAL
NUMBERS
All numbers that can be written
𝑎
in the form .
𝑏
3 5 10
Examples:
5 1 7
Decimals that terminate
or repeat.
Examples: 0.356 and 0.555…
change 5/8 to a Decimal
and 0.3434…to a Fraction.
Page 46 of
your INB
5/8 = 0.625
Assign: x = 0.3434…
100x = 34.3434…
- x = 0.3434…
99x = 34
34
x =
99
Worksheet
5.1
Rational
Numbers
