Pre-Algebra

3-1 Rational Numbers

3-1 Rational Numbers

Pre-Algebra

Warm UpProblem of the DayLesson 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

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

Pre-Algebra

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

rational numberrelatively prime

Vocabulary

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

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.

Pre-Algebra

3-1 Rational NumbersSimplify.

105 GCF = ?

51055

21

5

Pre-Algebra

3-1 Rational NumbersSimplify.

8016 GCF = ?

16801616

51

16

Pre-Algebra

3-1 Rational NumbersSimplify.

2918- GCF = ?

2918

1

These two numbers are relatively prime!!!

Pre-Algebra

3-1 Rational NumbersSimplify.

306 GCF = ?

63066

51

6

Pre-Algebra

3-1 Rational NumbersSimplify.

34-17 GCF = ?

1734-1717

21

17

Pre-Algebra

3-1 Rational Numbers

Pre-Algebra

3-1 Rational Numbers

–0.8

Write the decimal as a fraction in simplest form.

Tenths108- GCF = ?

21028-

54

2

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!!

Pre-Algebra

3-1 Rational Numbers

0.622

Thousandeths

1000622 GCF = ?

210002622

500311

2

Write the decimal as a fraction in simplest form.

Pre-Algebra

3-1 Rational Numbers

8.75

Hundredths

100758 GCF = ?

2510025758

438

25

Write the decimal as a fraction in simplest form.

Pre-Algebra

3-1 Rational Numbers

11 9

Write the fraction as a decimal.

1.222222…, a repeating decimal

= 1.2

Pre-Algebra

3-1 Rational Numbers

7 20

Write the fraction as a decimal.

0.35, a terminating decimal

= 0.35

Pre-Algebra

3-1 Rational Numbers

15 11

Write the fraction as a decimal.

1.363636…, a repeating decimal

= 1.36

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

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

Pre-Algebra

3-1 Rational Numbers

HomeworkPg 115;

1 – 49 odd58 – 63 all