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4.2 Rational Numbers

4.2 Rational Numbers. Exercise . Justify why each of the following numbers is a rational number ½ -5 0 2 3.257 -0.125125125…. (1/3)/2 (-2/5)/(3/4). Justifying Statements.

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4.2 Rational Numbers

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  1. 4.2 Rational Numbers

  2. Exercise Justify why each of the following numbers is a rational number ½ -5 0 2 3.257 -0.125125125…. (1/3)/2 (-2/5)/(3/4)

  3. Justifying Statements Conjecture whether or not the following statements are true. Attempt to justify your conjecture verbally –Be aware of quantifiers- • The sum of two rational numbers is rational • The sum of two integers divided by its product is a rational number • Some integers are not rational • The product of an integer number and a rational number is an integer

  4. Work on your claims Rewrite the previous statements. The ones that you “believe” are true keep them the same, and for the ones you “believe” are false write their negation, which becomes true. 1 2 3 4

  5. Convince the Rest of the World that YOU ARE RIGHT Present a formal argument (direct proof) to justify that each of the statements you conjecture to be true are indeed true

  6. You are challenged Consider a, b integers. Is an integer? Are there any conditions on a and b so that is an integer ? Write your conjecture as an implication Prove (directly) that your conjecture is true

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