1. Pre-Algebra 3-1 Rational Numbers 3-1 Rational Numbers Pre-Algebra Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

2. Pre-Algebra 3-1 Rational Numbers Warm Up Divide. Pre-Algebra 3-1 Rational Numbers 12 24 3 4 16 1. 36  3 2. 144  6 3. 68  17 4. 345  115 5. 1024  64

3. Pre-Algebra 3-1 Rational Numbers Problem of the Day An ice cream parlor has 6 flavors of ice cream. A dish with two scoops can have any two flavors, including the same flavor twice. How many different double-scoop combinations are possible? 21

4. Pre-Algebra 3-1 Rational Numbers Learn to write rational numbers in equivalent forms. rational number relatively prime Vocabulary

5. Pre-Algebra 3-1 Rational Numbers Decimals that terminate or repeat are rational numbers. A rational number is any number that can be written as a fraction, d≠0. Numerator n d Denominator

6. Pre-Algebra 3-1 Rational Numbers The goal of simplifying fractions is to make the numerator and the denominator relatively prime. Relatively prime numbers have no common factors other than 1.

7. Pre-Algebra 3-1 Rational Numbers Simplify. GCF = ? 5

8. Pre-Algebra 3-1 Rational Numbers Simplify. GCF = ? 16

9. Pre-Algebra 3-1 Rational Numbers Simplify. GCF = ? 1 These two numbers are relatively prime!!!

10. Pre-Algebra 3-1 Rational Numbers Simplify. GCF = ? 6

11. Pre-Algebra 3-1 Rational Numbers Simplify. GCF = ? 17

12. Pre-Algebra 3-1 Rational Numbers

13. Pre-Algebra 3-1 Rational Numbers –0.8 Write the decimal as a fraction in simplest form. Tenths GCF = ? 2

14. Pre-Algebra 3-1 Rational Numbers 5.37 Write the decimal as a fraction in simplest form. Hundredths GCF = ? 1 5 and 37 are relatively prime!!

15. Pre-Algebra 3-1 Rational Numbers 0.622 Thousandeths GCF = ? 2 Write the decimal as a fraction in simplest form.

16. Pre-Algebra 3-1 Rational Numbers 8.75 Hundredths GCF = ? 25 Write the decimal as a fraction in simplest form.

17. Pre-Algebra 3-1 Rational Numbers 11 9 Write the fraction as a decimal. 1.222222…, a repeating decimal = 1.2

18. Pre-Algebra 3-1 Rational Numbers 7 20 Write the fraction as a decimal. 0.35, a terminating decimal = 0.35

19. Pre-Algebra 3-1 Rational Numbers 15 11 Write the fraction as a decimal. 1.363636…, a repeating decimal = 1.36

20. Pre-Algebra 3-1 Rational Numbers Lesson Quiz: Part 1 Simplify. 1. 2. Write each decimal as a fraction in simplest form. 3. 0.27 4. –0.625 5. Write as a decimal 18 42 3737 15 21 5757 27 100 – 5858 13 6 2.16

21. Pre-Algebra 3-1 Rational Numbers Tommy had 13 hits in 40 at bats for his baseball team. What is his batting average? (Batting average is the number of hits divided by the number of at bats, expressed as a decimal.) Lesson Quiz: Part 2 6. 0.325

22. Pre-Algebra 3-1 Rational Numbers Homework Pg 115; 1 – 49 odd 58 – 63 all