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Rational and Irrational Numbers and Their Properties (1.1.2)

Rational and Irrational Numbers and Their Properties (1.1.2). September 6th, 2017. Solving Exponential Equations. Ex. 1: Simplify. Why does it make sense to add the exponents when multiplying variables of the same base?. Ex. 2: Simplify.

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Rational and Irrational Numbers and Their Properties (1.1.2)

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  1. Rational and Irrational Numbers and TheirProperties (1.1.2) September 6th, 2017

  2. Solving Exponential Equations

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

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

  5. Ex. 3: Solve the equation .

  6. Ex. 4: Solve the equation .

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

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

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

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

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

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