Transcript
REAL NUMBERS
End of Unit 2 Review
Try this!
• a) Irrational
• b) Irrational
• c) Rational
• d) Rational
• e) Irrational66 e)
d)
25 c)
12 b)
2 a)
115
Additional Example 1: Classifying Real Numbers
Write all classifications that apply to each number.
5 is a whole number that is not a perfect square.
5
irrational, real
–12.75 is a terminating decimal.–12.75rational, real
16 2
whole, integer, rational, real
= = 24 2
16 2
A.
B.
C.
A fraction with a denominator of 0 is undefined because you cannot divide by zero. So it is not a number at all.
State if each number is rational, irrational, or not a real number.
21
irrational
0 3
rational
0 3
= 0
Additional Example 2: Determining the Classification of All Numbers
A.
B.
not a real number
Additional Example 2: Determining the Classification of All Numbers
4 0C.
State if each number is rational, irrational, or not a real number.
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.
Comparing Rational and Irrational Numbers
• When comparing different forms of rational and irrational numbers, convert the numbers to the same form.
Compare -3 and -3.571 (convert -3 to -3.428571…
-3.428571… > -3.571
37
37
Practice
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.
Example• Order these numbers from least to
greatest. ¹/₄, 75%, .04, 10%, ⁹/₇
¹/₄ becomes 0.2575% becomes 0.750.04 stays 0.0410% becomes 0.10
⁹/₇ becomes 1.2857142…
Answer: 0.04, 10%, ¹/₄, 75%, ⁹/₇
Practice
Order these from least to greatest:
Study
• How to estimate square roots• Your list of Perfect Squares &
Cubes• Comparing Numbers• What are number sets?• What are Real Numbers?
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