Rational and Irrational Numbers and Their Properties (1.1.2)

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Presentation transcript:

Rational and Irrational Numbers and Their Properties (1.1.2) September 6th, 2017

Solving Exponential Equations General Example Power Root Rational Exponent-Case 1 Rational Exponent-Case 2

Ex. 1: Simplify . Why does it make sense to add the exponents when multiplying variables of the same base?

Ex. 2: Simplify . Why does it make sense to subtract the exponents when dividing variables of the same base?

Ex. 3: Solve the equation .

Ex. 4: Solve the equation .

How can you determine whether the sum or product of two numbers will be rational or irrational?

Ex. 1: Are the following sums and products rational or irrational? a) b) c) d) e) f) g) h)

Do you see any pattern in what makes the result rational or irrational?

Rational x Rational = Rational RULE EXAMPLE Rational Rational x Rational = Rational Irrational Irrational

Is the sum or product of two irrational numbers always irrational?

Ex. 2: Are the following sums and products rational or irrational? a) b) c) d)