1. 5.1 Rational Numbers

2. Change 5/8 to a Decimal and
Hand back
TESTS!
Answer: 7/8
Page 46 of
your INB
i-can
find the slope
of this line.
Change 5/8 to a Decimal and
0.3434…to a Fraction.

3. 4 Make a plan to get in the zone! the “ZONE”
Plot your test score. Make a plan to improve.
If you’re not in the zone, make a plan to get there. If you are in the zone, make a plan
to stay there. 4

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.

5. Have your homework
out on your desk.

6. RE- 1.0 Show your work. Hey You. Try this CHALLENGE question:
Round 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

7. i-can Get into your 4-Square Groups Page 46-47 of your INB
Change 5/8 to a Decimal and
0.3434…to a Fraction.
MEMORIZE 
Page 46-47
of your INB

8. A landmark is a recognizable natural or man-made feature used for navigation.
Landmarks help you know where you are.

9. Benchmark Fractions are like Landmarks If you know where is
1 2
Then you can picture where
0.475
& are
1 2
1 2
near
0.475
0.528
0.5 1

10. Benchmark Fractions MEMORIZE!! 0.25 0.5 0.75 0. 3 0. 6 0.125 0.375
1) = _____ 2) = _____ 3) = _____
4) = _____ 5) = _____ 6) = _____
7) = _____ 8) = _____ 9) = _____
0.25
0.5
0.75
0. 3
0. 6
0.125
0.375
0.625
0.875
1 8
1 4
1 3
3 8
1 2
5 8
3 4
7 8
2 3

11. REVERSE IT! 3 4 0.75 3 4 75 100 0.75 3 ÷ 4 Fractions Decimals
Page 47 of
your INB
3 4
0.75
3 ÷ 4
REVERSE IT!
Fractions Decimals
3 4
75 100
0.75

12. Decimal Place Review 
What decimal place is this?
0.3
0.34 =
= 3 10 =
tenth
hundredth
0.347
5.347 = =
thousandth
thousandth

13. Fractions Decimals
Page 47 of
your INB
1 5
2 10
0.2

14. Try it!

15. What if you have a repeating decimal?
Fractions Decimals
0.555…
What if you have a repeating decimal? ?
5 10 ???
???
???
0.555…
We can use the
POWER OF TEN TECHNIQUE
(next slide)

16. Converting Repeating Decimals to Fractions 0.555… 0.2121… 10x = 5.555…
Page 47 of
your INB
10x = …
- x = …
9x = 5
x = 5 9
0.555…
Assign: x = 0.555…
0.2121…
100x = …
- x = …
99x = 21
x =
Assign: x = …
7 33
𝑅𝑒𝑑𝑢𝑐𝑒 𝑡𝑜
𝐿𝑜𝑤𝑒𝑠𝑡 𝑇𝑒𝑟𝑚𝑠

17. Converting Repeating Decimals to Fractions 1.6555 … 100x = 165.555…
Page 47 of
your INB
100x = …
-10x = …
90x = 149
x = …
Assign: x = …

18. Homework Problem # 42
You Try it!
0.444…

19. Homework Problem # 43
You Try it!
0.1222…

20. Rational Number What is that? A Rational Number is a number that
Rational numbers include all numbers that can be written in the form 𝑎 𝑏 , where 𝑎 and 𝑏 are both integers and 𝑏≠0.
A Rational Number is a number that
can be written as a FRACTION 𝑎 𝑏

21. −6 5 4 5 0.3 4 1 2 Are these numbers Rational?
(Can they be written as a Fraction?)
Thumbs Up
Rational −6 5
4 5
0.3 4
1 2
Thumbs down
Not Rational

22. Types of RATIONAL Decimals
TERMINATING
DECIMALS
REPEATING
DECIMALS
-1.222…
0.888…
3. 35
0.264
0. 4
-6.15
0.5 …

23. RATIONAL NUMBERS All numbers that can be written in the form 𝑎 𝑏 .
Examples:
Decimals that terminate
or repeat.
Examples: and 0.555…

24. i-can
change 5/8 to a Decimal
and …to a Fraction.
Page 46 of
your INB
5/8 = 0.625
Assign: x = …
100x = …
- x = …
99x = 34
x =

25. Worksheet
5.1
Rational
Numbers 
SHOW YOUR WORK