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Default text (Verdana 24 pt) Default shape Dark blue outline, 3 pt weight Light blue fill Black text, centered Verdana 24 pt Variation Variation Variation (not exhaustive )
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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). - PowerPoint PPT Presentation
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Default text (Verdana 24 pt)
Default shapeDark blue outline, 3 pt weight
Light blue fillBlack text, centered
Verdana 24 pt
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.
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