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Default text (Verdana 24 pt ). Variation. Default shape Dark blue outline, 3 pt weight Light blue fill Black text, centered Verdana 24 pt. Variation. Variation (not exhaustive).

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slide1

Default text (Verdana 24 pt)

Variation

Default shape

Dark blue outline, 3 pt weight

Light blue fill

Black text, centered

Verdana 24 pt

Variation

Variation

(not exhaustive)

slide2

Objective: You will be able to compare an irrational number to a rational number or to another irrational number.

slide16

Comparing Irrational and Rational Numbers

Comparing Irrationals is the Same Process!

slide18

Comparing Irrational and Rational Numbers

The …

1.124… ____ 1.2

1.124…

1.2

slide20

Comparing Irrational and Rational Numbers

Pi ∏

____ 3.14

3.14159…

3.14

slide21

Comparing Irrational and Rational Numbers

Pi ∏

____ 3.14

3.14159…

3.14

slide29

Comparing Irrational and Rational Numbers

Practice

For each problem, decide which of the two numbers is greater and place a > or < sign to indicate the greater number:

1.341 _____ 1.341...

slide30

Comparing Irrational and Rational Numbers

Practice

For each problem, decide which of the two numbers is greater and place a > or < sign to indicate the greater number:

1.341 _____ 1.341...

1.341

1.341 . . .

slide31

Comparing Irrational and Rational Numbers

Practice

For each problem, decide which of the two numbers is greater and place a > or < sign to indicate the greater number:

1/3 ______ 0.3132...

slide32

Comparing Irrational and Rational Numbers

Practice

For each problem, decide which of the two numbers is greater and place a > or < sign to indicate the greater number:

1/3 ______ 0.3132...

slide33

Comparing Irrational and Rational Numbers

Practice

For each problem, decide which of the two numbers is greater and place a > or < sign to indicate the greater number:

1/3 ______ 0.3132...

0.333

0.3132

slide34

Comparing Irrational and Rational Numbers

Practice

For each problem, decide which of the two numbers is greater and place a > or < sign to indicate the greater number:

- ______ -3.2

slide35

Comparing Irrational and Rational Numbers

Practice

For each problem, decide which of the two numbers is greater and place a > or < sign to indicate the greater number:

- ______ -3.2

-3.14159

-3.2

slide36

Comparing Irrational and Rational Numbers

Practice

For each problem, decide which of the two numbers is greater and place a > or < sign to indicate the greater number:

______ 9.7

slide37

Comparing Irrational and Rational Numbers

Practice

For each problem, decide which of the two numbers is greater and place a > or < sign to indicate the greater number:

______ 9.7

9

10

slide38

Comparing Irrational and Rational Numbers

Practice

For each problem, decide which of the two numbers is greater and place a > or < sign to indicate the greater number:

______ 9.7

9

9.5

10

slide39

Comparing Irrational and Rational Numbers

Practice

For each problem, decide which of the two numbers is greater and place a > or < sign to indicate the greater number:

______ 9.7

9.7

9

9.5

10

slide40

Conclusion: You can now compare an irrational number to a rational number or to another irrational number.