10.2 Real Numbers Objective: The objective is for the students to learn the difference between a rational and irrational number.

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10.2 Real Numbers Objective: The objective is for the students to learn the difference between a rational and irrational number

Rational: ratio, repeats/terminates Information Rational: ratio, repeats/terminates Ex: .75 Ex: .6666666666 Irrational: non-ratio, doesn’t repeat, terminate Most common: Non perfect square roots ∏ = 3.14 Real numbers: all rational/irrational numbers Whole Number: Positive numbers (no decimals) 0,1,2,3…… Integers: positive or negative whole numbers. …-3, -2, -1, 0, 1, 2, ..

Classify Real numbers as Rat., whole, integer, or ir. t,st 1/7 1.12 -√4 √21/3 √16/25 .333333333 √8/2 √16

Compare Real numbers √2 ___ 9/5 √7 ___ 8/3 -3/2 ___ -√2 -3√2 ___ -4.2

Compare Real numbers-st √15 ___ 15/4 4 ___ √32/2 √1/4 ___ 1/4 -√8 ___ -10/3

Ordering Real Numbers 12/11, √1.1, 7/3, √10/3 4.2, √17, 17/4, -4.6

Ordering Real Numbers 2/3, √5/9, .60, .75, √7/9 9/5, √31, √55/2, 28/5, 0

Evaluating Expressions 1 and 2 step Square Roots Divide Coefficient (if needed) Square root both sides a2 = 9 x2 = 81 5y2 = 110 2j2 = 18

Evaluating Expressions-st m2 = 144 c2 = 100 3y2 = 300 2c2 = 50

Questions/Comments Workbook pg. 135 Wrap-up Questions/Comments Workbook pg. 135