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

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

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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

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

Page 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.

Pre-Algebra

3-1 Rational Numbers

3-1 Rational Numbers

Pre-Algebra

Warm UpProblem of the DayLesson Presentation

Page 2: 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.

Pre-Algebra

3-1 Rational NumbersWarm UpDivide.

Pre-Algebra

3-1 Rational Numbers

12 24

34

16

1. 36 3 2. 144 6

3. 68 17 4. 345 115

5. 1024 64

Page 3: 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.

Pre-Algebra

3-1 Rational NumbersProblem 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

Page 4: 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.

Pre-Algebra

3-1 Rational NumbersLearn to write rational numbers in equivalent forms.

rational numberrelatively prime

Vocabulary

Page 5: 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.

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 nd Denominator

Page 6: 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.

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.

Page 7: 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.

Pre-Algebra

3-1 Rational NumbersSimplify.

105 GCF = ?

51055

21

5

Page 8: 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.

Pre-Algebra

3-1 Rational NumbersSimplify.

8016 GCF = ?

16801616

51

16

Page 9: 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.

Pre-Algebra

3-1 Rational NumbersSimplify.

2918- GCF = ?

2918

1

These two numbers are relatively prime!!!

Page 10: 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.

Pre-Algebra

3-1 Rational NumbersSimplify.

306 GCF = ?

63066

51

6

Page 11: 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.

Pre-Algebra

3-1 Rational NumbersSimplify.

34-17 GCF = ?

1734-1717

21

17

Page 12: 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.

Pre-Algebra

3-1 Rational Numbers

Page 13: 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.

Pre-Algebra

3-1 Rational Numbers

–0.8

Write the decimal as a fraction in simplest form.

Tenths108- GCF = ?

21028-

54

2

Page 14: 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.

Pre-Algebra

3-1 Rational Numbers

5.37

Write the decimal as a fraction in simplest form.

Hundredths

100375 GCF = ?

100375

1

5 and 37 are relatively prime!!

Page 15: 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.

Pre-Algebra

3-1 Rational Numbers

0.622

Thousandeths

1000622 GCF = ?

210002622

500311

2

Write the decimal as a fraction in simplest form.

Page 16: 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.

Pre-Algebra

3-1 Rational Numbers

8.75

Hundredths

100758 GCF = ?

2510025758

438

25

Write the decimal as a fraction in simplest form.

Page 17: 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.

Pre-Algebra

3-1 Rational Numbers

11 9

Write the fraction as a decimal.

1.222222…, a repeating decimal

= 1.2

Page 18: 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.

Pre-Algebra

3-1 Rational Numbers

7 20

Write the fraction as a decimal.

0.35, a terminating decimal

= 0.35

Page 19: 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.

Pre-Algebra

3-1 Rational Numbers

15 11

Write the fraction as a decimal.

1.363636…, a repeating decimal

= 1.36

Page 20: 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.

Pre-Algebra

3-1 Rational NumbersLesson Quiz: Part 1Simplify.

1. 2.

Write each decimal as a fraction in simplest form.3. 0.27 4. –0.625

5. Write as a decimal

18 42

3 7

15 21

5 7

27 100

–5 8

13 6 2.16

Page 21: 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.

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

Page 22: 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.

Pre-Algebra

3-1 Rational Numbers

HomeworkPg 115;

1 – 49 odd58 – 63 all