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Real Numbers. Lesson 0-2. Real Numbers. Rational Numbers. Repeating decimals Terminating decimals .5 .333333333333 √25 ⅞. Integers. Positive whole numbers Negative whole numbers …-3,-2,-1,0,1,2,3,…. Whole Numbers. Positive numbers Includes zero 0,1,2,3,….
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Real Numbers Lesson 0-2
Rational Numbers • Repeating decimals • Terminating decimals • .5 • .333333333333 • √25 • ⅞
Integers • Positive whole numbers • Negative whole numbers • …-3,-2,-1,0,1,2,3,…
Whole Numbers • Positive numbers • Includes zero • 0,1,2,3,…
Examples: Graph and order real numbers • { • Graph and order the real numbers from least to greatest.
Example:Write a repeating decimal as a fraction Write .2323232323… as a fraction Step 1 N = .2323232323… 100N= 100(.2323232323…) 100N=23.2323232323… - N= .2323232323… 99N= 23 99 99 N= 23/99
Example : Simplifying Roots • Simplify each root. • = • = = 2
Example: Estimating roots • Find the two perfect squares closest to 15 • 1,4,9,16,25,36,… • 9˂ 15˂16 • 3 • Best whole number estimate is 4.
Assignment Page P10 # 2-38 even
Natural Numbers • Counting numbers • 1,2,3,…
Irrational • Cannot be expressed as a repeating or terminating decimals • √3≈ 1.73205… • π