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Variation

Variation

Variation(not

exhaustive)

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

another irrational number.

Comparing Irrational and Rational Numbers

8.213 ____ 8.23

Comparing Irrational and Rational Numbers

8.213 ____ 8.23

8.2138.23

Comparing Irrational and Rational Numbers

- 8 ____ -7

Comparing Irrational and Rational Numbers

- 8 ____ -7

-8 -7

0 1-1

Comparing Irrational and Rational Numbers

- 8 ____ -7

-8 -7 0 1-1

Comparing Irrational and Rational Numbers

Fractions as decimals

Comparing Irrational and Rational Numbers

Fractions as decimals

Comparing Irrational and Rational Numbers

Fractions as decimals

Comparing Irrational and Rational Numbers

Fractions as decimals

Comparing Irrational and Rational Numbers

Fractions as decimals

Comparing Irrational and Rational Numbers

Fractions as decimals

Comparing Irrational and Rational Numbers

Fractions as decimals

Comparing Irrational and Rational Numbers

Fractions as decimals

Comparing Irrational and Rational Numbers

Comparing Irrationals is the Same Process!

Comparing Irrational and Rational Numbers

The …

1.124… ____ 1.2

Comparing Irrational and Rational Numbers

The …

1.124… ____ 1.2

1.124…1.2

Comparing Irrational and Rational Numbers

Pi or ∏

____ 3.14∏

Comparing Irrational and Rational Numbers

Pi ∏

____ 3.14∏

3.143.14159…

Comparing Irrational and Rational Numbers

Pi ∏

____ 3.14∏

3.143.14159…

Comparing Irrational and Rational Numbers

Radicals

Comparing Irrational and Rational Numbers

Radicals

32

√ 4 √ 9

Comparing Irrational and Rational Numbers

Radicals

32 2.5

Comparing Irrational and Rational Numbers

Radicals

32

√ 4 √ 9√ 7

2.5

Comparing Irrational and Rational Numbers

Radicals

____ 4.5

Comparing Irrational and Rational Numbers

Radicals

____ 4.5

54 4.5

√ 16 25

Comparing Irrational and Rational Numbers

Radicals

____ 4.5

54 4.5

√ 16 25√ 18

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...

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...

1.3411.341 . . .

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...

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...

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...

0.3330.3132

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

∏

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

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

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

109

√ 81 √ 100

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

109 9.5

√ 81 √ 100√ 85

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

109 9.5

√ 81 √ 100√ 85

9.7

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

another irrational number.