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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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3-1. Rational Numbers. Pre-Algebra. Warm Up. Problem of the Day. Lesson Presentation. 3-1. Rational Numbers. Pre-Algebra. Warm Up Divide. 24. 12. 1. 36  3 2. 144  6. 4. 3. 3. 68  17 4. 345  115. 16. 5. 1024  64. Problem of the Day - PowerPoint PPT Presentation

Transcript of 3-1

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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

Warm 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

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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

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Pre-Algebra

3-1 Rational Numbers

Learn to write rational numbers in equivalent forms.

rational number

relatively prime

Vocabulary

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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

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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.

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Pre-Algebra

3-1 Rational Numbers

Simplify.

105 GCF = ?

51055

2

1

5

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Pre-Algebra

3-1 Rational Numbers

Simplify.

8016 GCF = ?

16801616

5

1

16

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Pre-Algebra

3-1 Rational Numbers

Simplify.

2918- GCF = ?

29

18

1

These two numbers are relatively prime!!!

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Pre-Algebra

3-1 Rational Numbers

Simplify.

306 GCF = ?

63066

5

1

6

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Pre-Algebra

3-1 Rational Numbers

Simplify.

34-17 GCF = ?

1734-1717

2

1

17

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Pre-Algebra

3-1 Rational Numbers

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Pre-Algebra

3-1 Rational Numbers

–0.8

Write the decimal as a fraction in simplest form.

Tenths

108- GCF = ?

21028-

5

4

2

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Pre-Algebra

3-1 Rational Numbers

5.37

Write the decimal as a fraction in simplest form.

Hundredths

100375 GCF = ?

100

375

1

5 and 37 are relatively prime!!

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Pre-Algebra

3-1 Rational Numbers

0.622

Thousandeths

1000622 GCF = ?

210002622

500

311

2

Write the decimal as a fraction in simplest form.

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Pre-Algebra

3-1 Rational Numbers

8.75

Hundredths

100

758 GCF = ?

25100

25758

4

38

25

Write the decimal as a fraction in simplest form.

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Pre-Algebra

3-1 Rational Numbers

11 9

Write the fraction as a decimal.

1.222222…, a repeating decimal

= 1.2

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Pre-Algebra

3-1 Rational Numbers

7 20

Write the fraction as a decimal.

0.35, a terminating decimal

= 0.35

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Pre-Algebra

3-1 Rational Numbers

15 11

Write the fraction as a decimal.

1.363636…, a repeating decimal

= 1.36

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Pre-Algebra

3-1 Rational Numbers

Lesson 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

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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

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Pre-Algebra

3-1 Rational Numbers

Homework

Pg 115;

1 – 49 odd

58 – 63 all