1. Unit 2. Day 5.

2. Please get out paper for today’s lesson
Name
Date
Period
Topic: Comparing & Ordering rational numbers
7.NS.A.2.d Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.

3. Today’s Lesson Comparing & Ordering Rational Numbers a) Decimals
b) Fractions

4. Example A:
Use <, >, 𝑜𝑟= to compare each pair of decimals.
>

5. Example B:
Use <, >, 𝑜𝑟= to compare each pair of decimals.
>
− −16.171

6. Example C:
Use <, >, 𝑜𝑟= to compare each pair of decimals. =

7. Use <, >, 𝑜𝑟= to compare each pair of decimals.
− − =
Example D: 3 3
> 3 1
Example E:
− −
<
Example F:

9. Today’s Lesson Comparing & Ordering Rational Numbers a) Decimals
b) Fractions

10. Example G: Replace each with <, >, or = to make a true sentence.
− − 7 12
− 5 8
− 7 12
<
− 14 24
− 15 24
< 8 12 . − . 6 2 5 − 5 8 3 . 5 : 8 . 12 7 8 , 16 , 24 , 32 , 40 , 48 − 48 − 60 2 10 − 16 − 96 : 4 4 12 , 24 , 36 , 48 − 40 − 36 4

11. Replace each with <, >, or = to make a true sentence.
Example H*:
− − 11 13
Example I*:

12. Example H*: Replace each with <, >, or = to make a true sentence.
5 7
3 4
<
20 28
21 28
< 7 4 . . 7 1 4 7 5 . . : 7 5 4 3 7 , 14 , 21 , 28 − 49 −
2 8 1 2 − 7 − 20 : 3 4 , 8 , 12 , 16 , 20 , 24 , 28 − 28 2

13. Example I*: Replace each with <, >, or = to make a true sentence.
− − 11 13
− 7 8
− 11 13
< − −
< 8 13 . − . 8 7 5 − 8 4 6 . 7 . : 8 13 11 8 , 16 , 24 , 32 , 40 , 48 , 56 − 64 −
104 64 , 72 , 80 , 88 , 96 ,
104 6 6 − 56 − 52 : 4 8 13 , 26 , 39 , 52 , 65 , 78 , − 40 − 78 91 ,
104 2

14. Comparing Fractions Ordering Fractions 5 9 7 12 > < > < =
2 3 , , 1 2 , 5 8
2 3
9 13
1 2
5 8
>
<
>
< = =

15. Example J: Order the fractions from least to greatest.
− 1 2 , − 9 14 , − 3 4 , − 5 7
− 1 2
− 9 14
− 3 4
− 5 7
−0.5
−0.642
−0.75
−0.714 . . . . 5 6 4 2 7 5 7 1 4 . . . . 2 1 14 9 4 3 7 5 − 10 − 84 − 28 − 49 6 2 1 − − − 56 20 7 4 3 − 28 − 28 12 2

16. Example J: Order the fractions from least to greatest.
− 1 2
− 1 2 , − 9 14 ,− 3 4 ,− 5 7
− 9 14
− 3 4
− 5 7
− 3 4
− 5 7
− 9 14
− 1 2 2 14 4 7
− 14 28
− 18 28
− 21 28
− 20 28 : 2 , 4 , 6 , 8 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 26 , 28 : 14 , 28 , 42 , 56 : 4 , 8 , 12 , 16 , 20 , 24 , 28 , 32 , 36 : 7 , 14 , 21 , 28

17. Example K*: Order the fractions from least to greatest.
− 5 6 , − 7 8 ,− 9 12 ,− 11 16
− 5 6
− 7 8
− 9 12
− 11 16
−0.833
−0.875
−0.75
−0.687 . . . . 8 3 3 8 7 5 7 5 6 8 7 . . . . 6 5 8 7 12 9 16 11 − 48 − 64 − 84 − 96 2 6 6 14 − − 18 − − 56 60
128 2 4 12 − 18 − 40 −
112 2 8

18. Example K*: Order the fractions from least to greatest.
− 5 6
− 5 6 , − 7 8 ,− 9 12 ,− 11 16
− 7 8
− 9 12
− 11 16 6 8 12 16
− 7 8
− 5 6
− 9 12
− 11 16
− 40 48
− 42 48
− 36 48
− 33 48 : 6 , 12 , 18 , 24 , 30 , 36 , 42 , 48 , 54 , 60 , 66 , 72 , 78 , 84 : 8 , 16 , 24 , 32 , 40 , 48 , 56 , 64 , 72 , 80 , 88 , 96 : 12 , 24 , 36 , 48 , 60 , 72 , 84 , 96 ,
108 : 16 , 32 , 48 , 64