303B Section 09.1
- 2. An Ordering Activity Microsoft Office Word 97 - 2003 Document
- 3. Fraction Equality: if and only if ad = bc.
- 4. Figure 9.2
- 5. Figure 9.5
- 6. 9.1 THE RATIONAL NUMBERS Definition: The set of rational numbers is the set Examples of Rational Numbers: , , , 3, .7 Explanation: , ,
- 7. 9.1 THE RATIONAL NUMBERS Definition: The set of rational numbers is the set Examples of Rational Numbers: , , , 3, .7 Explanation: , ,
- 8. Equality of Rational Numbers: if and only if ad = bc. To Do: Show that Solution: (–12)×(–3) = 36 = 9×4
- 9. Equality of Rational Numbers: if and only if ad = bc. To Do: Show that Solution: (–12)×(–3) = 36 = 9×4
- 10. Equality of Rational Numbers: if and only if ad = bc. To Do: Show that Solution: (–12)×(–3) = 36 = 9×4
- 11. Equality of Rational Numbers: if and only if ad = bc. To Do: Show that Solution: (–12)×(–3) = 36 = 9×4
- 12. Example: Definition: a / b is in simplest form if a and b have no common prime factors and b is positive. Example: The following are not in simplest form: Why not?
- 13. Example: Definition: a / b is in simplest form if a and b have no common prime factors and b is positive. Example: The following are not in simplest form: Why not?
- 14. Example: Definition: a / b is in simplest form if a and b have no common prime factors and b is positive. Example: The following are not in simplest form: Why not?
- 15. Example: Definition: a / b is in simplest form if a and b have no common prime factors and b is positive. Example: The following are not in simplest form: Why not?
- 21. Notice that since . Also, notice that . Therefore, is the additive inverse of . That is, . So,
- 22. Notice that since . Also, notice that . Therefore, is the additive inverse of . That is, . So,
- 23. Notice that since . Also, notice that . Therefore, is the additive inverse of . That is, . So,
- 24. Rational numbers on the number line:
- 25. Rational numbers on the number line:
- 29. To Do: Multiply and simplify Answer:
- 30. To Do: Multiply and simplify Answer:
- 31. To Do: Multiply and simplify Answer:
- 34. Why does ? Well, why does 6 ÷ 2 = 3? Because 2 × 3 = 6. Let’s check : . Yay! To Do: Divide and simplify Answer:
- 35. Why does ? Well, why does 6 ÷ 2 = 3? Because 2 × 3 = 6. Let’s check : . Yay! To Do: Divide and simplify Answer:
- 36. Why does ? Well, why does 6 ÷ 2 = 3? Because 2 × 3 = 6. Let’s check : . Yay! To Do: Divide and simplify Answer:
- 37. Why does ? Well, why does 6 ÷ 2 = 3? Because 2 × 3 = 6. Let’s check : . Yay! To Do: Divide and simplify Answer:
- 38. Why does ? Well, why does 6 ÷ 2 = 3? Because 2 × 3 = 6. Let’s check : . Yay! To Do: Divide and simplify Answer:
- 39. Why does ? Well, why does 6 ÷ 2 = 3? Because 2 × 3 = 6. Let’s check : . Yay! To Do: Divide and simplify Answer:
- 40. Why does ? Well, why does 6 ÷ 2 = 3? Because 2 × 3 = 6. Let’s check : . Yay! To Do: Divide and simplify Answer:
- 41. Example:
- 42. Example:
- 46. Error in book: This should read if and only if a < c and b > 0.
- 47. Example: Compare and . Solution: (–4)(7) = -28 and (9)(–3) = -27. So, (–4)(7) < (9)(–3) ⇒ To Do: Compare and . Solution: (–10)(8) ??? (9)(–9) –90 ?? –91 –90 > –91 So,
- 48. Example: Compare and . Solution: (–4)(7) = -28 and (9)(–3) = -27. So, (–4)(7) < (9)(–3) ⇒ To Do: Compare and . Solution: (–10)(8) ??? (9)(–9) –90 ?? –91 –90 > –91 So,
- 49. Example: Compare and . Solution: (–4)(7) = -28 and (9)(–3) = -27. So, (–4)(7) < (9)(–3) ⇒ To Do: Compare and . Solution: (–10)(8) ??? (9)(–9) –90 ?? –91 –90 > –91 So,
- 50. Example: Compare and . Solution: (–4)(7) = -28 and (9)(–3) = -27. So, (–4)(7) < (9)(–3) ⇒ To Do: Compare and . Solution: (–10)(8) ??? (9)(–9) –90 ?? –91 –90 > –91 So,
- 51. Example: Compare and . Solution: (–4)(7) = -28 and (9)(–3) = -27. So, (–4)(7) < (9)(–3) ⇒ To Do: Compare and . Solution: (–10)(8) ??? (9)(–9) –90 ?? –91 –90 > –91 So,
- 52. Assignment 9.1 A: 2-14 (& e-mail me something interesting about yourself plus a picture)