1. Unit 2. Day 3.

2. Q: What is a rational number?
A number that can be written as a ratio (without decimals)
−7 1
1 2
3 4 −7 →
0.5 →
− 1 2 9 → 3 𝜋 → … 1
8 1 4 → 2 2 → 8 → … 1

3. Rational Numbers
Fraction
Decimal

4. Rational Numbers
Fraction
Decimal

5. . 8 5 . 5th & 6th grade: Write the fraction as a decimal. 5 8 = 0.6256 2 5 8 5 . −
4 8 2 − 16 4
𝑇𝑒𝑟𝑚𝑖𝑛𝑎𝑡𝑖𝑛𝑔 𝐷𝑒𝑐𝑖𝑚𝑎𝑙 − 40 −

6. . 4 3 . 7th Grade: Write the fraction as a decimal. − 3 4 7 5 − = 0.757 5 − =
0.75 4 3 . −
2 8 2 − 20 −
𝑇𝑒𝑟𝑚𝑖𝑛𝑎𝑡𝑖𝑛𝑔 𝐷𝑒𝑐𝑖𝑚𝑎𝑙

7. Write the fraction as a decimal.
3 8
Example A*:
− 4 25
Example B*:

8. . 8 3 . 3 8 = 0.375 3 7 5 − 2 4 6 − 56 4 − 40 𝑇𝑒𝑟𝑚𝑖𝑛𝑎𝑡𝑖𝑛𝑔 𝐷𝑒𝑐𝑖𝑚𝑎𝑙
Example A*: Write the fraction as a decimal.
3 8 =
0.375 . 3 7 5 8 3 . −
2 4 6 − 56 4 − 40
𝑇𝑒𝑟𝑚𝑖𝑛𝑎𝑡𝑖𝑛𝑔 𝐷𝑒𝑐𝑖𝑚𝑎𝑙

9. . 25 4 . − 4 25 − = 0.16 1 6 − 2 5 15 − 150 − 𝑇𝑒𝑟𝑚𝑖𝑛𝑎𝑡𝑖𝑛𝑔 𝐷𝑒𝑐𝑖𝑚𝑎𝑙
Example B*: Write the fraction as a decimal.
− 4 25 − =
0.16 . 1 6 25 4 . −
2 5 15 −
150 −
𝑇𝑒𝑟𝑚𝑖𝑛𝑎𝑡𝑖𝑛𝑔 𝐷𝑒𝑐𝑖𝑚𝑎𝑙

10. . 11 9 . 9 11 = 0. 81 8 1 8 1 8 − 8 8 2 − 11 9 𝑅𝑒𝑝𝑒𝑎𝑡𝑖𝑛𝑔 𝐷𝑒𝑐𝑖𝑚𝑎𝑙 − 88
Example C: Write the fraction as a decimal.
9 11 = .
0. 81 8 1 8 1 8 11 9 . −
8 8 2 − 11 9
𝑅𝑒𝑝𝑒𝑎𝑡𝑖𝑛𝑔 𝐷𝑒𝑐𝑖𝑚𝑎𝑙 − 88 2 − 11 9

11. Example D*: Write the fraction as a decimal.
− 7 12 − = . 5 8 3 3 3 12 7 . −
6 0
1 0 −
9 6 4
𝑅𝑒𝑝𝑒𝑎𝑡𝑖𝑛𝑔 𝐷𝑒𝑐𝑖𝑚𝑎𝑙 − 36 4 − 36 4

12. . 20 13 . . 20 . 5 3 .65 6 5 𝑇𝑒𝑟𝑚𝑖𝑛𝑎𝑡𝑖𝑛𝑔 𝐷𝑒𝑐𝑖𝑚𝑎𝑙 − 120 −2 13 20 10 − 2
Example E: Write the fraction as a decimal. .
.65 6 5
𝑇𝑒𝑟𝑚𝑖𝑛𝑎𝑡𝑖𝑛𝑔 𝐷𝑒𝑐𝑖𝑚𝑎𝑙 20 13 . −
120 − 10 − 2 =
2.65 −
100 .
2.65 2 6 5 20
5 3 .
− 53 20 −
4 0 − =
1 3 −
120
1 0 −
1 0 0

13. . 6 1 . . 6 2 5 . .1 6 1 6 6 𝑅𝑒𝑝𝑒𝑎𝑡𝑖𝑛𝑔 𝐷𝑒𝑐𝑖𝑚𝑎𝑙 − −4 1 6 1 − 4 = 4.1 6
Example F*: Write the fraction as a decimal. .
.1 6 1 6 6
𝑅𝑒𝑝𝑒𝑎𝑡𝑖𝑛𝑔 𝐷𝑒𝑐𝑖𝑚𝑎𝑙 6 1 . −
−4 1 6 1 − 4 =
4.1 6 − 6 . 6 4
4.1 6 4 1 6 −
3 6 6
2 5 . 4 −
2 4 −
3 6 1 4 − 6 4 −
− 25 6
3 6 − = 4 −
3 6 4

14. S.74 (6a)
Example G: Eric and four of his friends are taking a trip across the New York State Thruway. They decide to split the cost of tolls equally. If the total cost of tolls is $8, how much will each person have to pay? 8 = $ 5 .
1.6 1 6 5 8 . − 5 3 −
3 0