Download Comparing Irrational and Rational Numbers

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Variation
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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
8.213
8.23
Comparing Irrational and Rational Numbers
- 8 ____ -7
Comparing Irrational and Rational Numbers
- 8 ____ -7
-8
-7
-1 0 1
Comparing Irrational and Rational Numbers
- 8 ____ -7
-8 -7
-1 0 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
3.14159…
3.14
Comparing Irrational and Rational Numbers
Pi
∏
∏ ____ 3.14
3.14159…
3.14
Comparing Irrational and Rational Numbers
Radicals
√7
Comparing Irrational and Rational Numbers
Radicals
√7
√4
√9
2
3
Comparing Irrational and Rational Numbers
Radicals
√7
2
2.5
3
Comparing Irrational and Rational Numbers
Radicals
√7
√4
2
√7
2.5
√9
3
Comparing Irrational and Rational Numbers
Radicals
√18 ____ 4.5
Comparing Irrational and Rational Numbers
Radicals
√18 ____ 4.5
√25
√16
4
4.5
5
Comparing Irrational and Rational Numbers
Radicals
√18 ____ 4.5
√16 √18
4
4.5
√25
5
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...
1.341
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:
1/3 ______ 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...
0.333
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:
-∏
______ -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:
-∏
-3.14159
-3.2
______ -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:
√85 ______ 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:
√85 ______ 9.7
√81
√100
9
10
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:
√85 ______ 9.7
√81
9
√100
√85
9.5
10
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:
√85 ______ 9.7
√81
9
√100
√85
9.5
9.7
10
Conclusion: You can now compare an
irrational number to a rational number or to
another irrational number.