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# Real numbers

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The Real Numbers
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# Real numbers

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### Real numbers

1. 1. REAL NUMBERS End of Unit 2 Review
2. 2. Try this! a) 2 b) 12 c) d) e) 25 5 11 66 • a) Irrational • b) Irrational • c) Rational • d) Rational • e) Irrational
3. 3. Additional Example 1: Classifying Real Numbers Write all classifications that apply to each number. A. 5 is a whole number that is not a perfect square. irrational, real 5 B. –12.75 –12.75 is a terminating decimal. rational, real 16 16 4 = =2 C. 2 2 2 whole, integer, rational, real
4. 4. A fraction with a denominator of 0 is undefined because you cannot divide by zero. So it is not a number at all.
5. 5. Additional Example 2: Determining the Classification of All Numbers State if each number is rational, irrational, or not a real number. A. 21 irrational B. 0 3 0 =0 3 rational
6. 6. Additional Example 2: Determining the Classification of All Numbers State if each number is rational, irrational, or not a real number. C. 4 0 not a real number
7. 7. Do Now • List 3 different Rational Numbers. The numbers must be greater than 1 and less than 2. • List 3 different Irrational Numbers. The numbers must be greater than 1 and less then 2.
8. 8. Comparing Rational and Irrational Numbers • When comparing different forms of rational and irrational numbers, convert the numbers to the same form. Compare -3 3 and -3.571 7 (convert -3 3 to -3.428571… 7 -3.428571… > -3.571
9. 9. Practice
10. 10. Ordering Rational and Irrational Numbers • To order rational and irrational numbers, convert all of the numbers to the same form. • You can also find the approximate locations of rational and irrational numbers on a number line.
11. 11. Example • Order these numbers from least to greatest. ¹/₄, 75%, .04, 10%, ⁹/₇ ¹/₄ becomes 0.25 75% becomes 0.75 0.04 stays 0.04 10% becomes 0.10 ⁹/₇ becomes 1.2857142… Answer: 0.04, 10%, ¹/₄, 75%, ⁹/₇
12. 12. Practice Order these from least to greatest:
13. 13. Study • • • • • How to estimate square roots Your list of Perfect Squares & Cubes Comparing Numbers What are number sets? What are Real Numbers?