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IRRATIOe gergerwgev hlikbterf ewrerwgerwgNAL 2.ppt
- 1. Square Roots and IrrationalNumbers
- 2. Square Roots and IrrationalNumbers
- 3. Square Roots and IrrationalNumbers
- 4. Square Roots and IrrationalNumbers
- 5. Square Roots and IrrationalNumbers
- 7. Square Roots and IrrationalNumbers
- 8. Square Roots and IrrationalNumbers
- 9. Square Roots and IrrationalNumbers
- 10. Square Roots and IrrationalNumbers
- 11. Squares and Roots 2 2 2 2 2 2 2 2 2 2 2 2 11 2 4 3 9 4 16 5 25 6 36 7 49 8 64 9 81 10 100 11 121 12 144 1 1 4 2 9 3 16 4 25 5 36 6 49 7 64 8 81 9 100 10 121 11 144 12
- 12. Squares and Roots 2 2 2 2 2 2 2 2 2 2 2 2 11 2 4 3 9 4 16 5 25 6 36 7 49 8 64 9 81 10 100 11 121 12 144 1 1 4 2 9 3 16 4 25 5 36 6 49 7 64 8 81 9 100 10 121 11 144 12
- 13. Squares and Roots 2 2 2 2 2 2 2 2 2 2 2 2 11 2 4 3 9 4 16 5 25 6 36 7 49 8 64 9 81 10 100 11 121 12 144 1 1 4 2 9 3 16 4 25 5 36 6 49 7 64 8 81 9 100 10 121 11 144 12
- 14. Squares and Roots 2 2 2 2 2 2 2 2 2 2 2 2 11 2 4 3 9 4 16 5 25 6 36 7 49 8 64 9 81 10 100 11 121 12 144 1 1 4 2 9 3 16 4 25 5 36 6 49 7 64 8 81 9 100 10 121 11 144 12
- 15. Squares and Roots 2 2 2 2 2 2 2 2 2 2 2 2 11 2 4 3 9 4 16 5 25 6 36 7 49 8 64 9 81 10 100 11 121 12 144 1 1 4 2 9 3 16 4 25 5 36 6 49 7 64 8 81 9 100 10 121 11 144 12
- 16. Note!!! Notice that squaresand square roots are inverses (opposites) of each other.
- 17. Note!!! Notice that squaresand square roots are inverses (opposites) of each other.
- 18. Note!!! Notice that squaresand square roots are inverses (opposites) of each other.
- 19. Note!!! Notice that squaresand square roots are inverses (opposites) of each other.
- 20. Note!!! Notice that squaresand square roots are inverses (opposites) of each other.
- 21. Note!!! Notice that squaresand square roots are inverses (opposites) of each other.
- 22. Note!!! Notice that squaresand square roots are inverses (opposites) of each other.
- 23. Estimating Square Roots Onceyou memorized squares and their roots, we can estimate square roots that are not perfect squares For example, what about 8
- 24. Estimating Square Roots Wefind the two perfect squares that are before and after the square root of 8. . . and Look at them on a number line: 4 5 9 4 9 6 7 8 3 2 2 3
- 25. Estimating square roots Wecan see that is between 2 and 3 but is closer to 3. We would say that is approximately 3. 4 5 9 6 7 8 3 2 2 3 8 8
- 26. TRY THIS: Estimate tothe nearest whole number 27 78 50 Click to the next slide to see if you are right!
- 27. TRY THIS: Estimate tothe nearest whole number 27 78 50 5 -9 7
- 28. Rational number-can be written as a fraction Irrational number- cannot be written as a fraction because: it is a non-terminating decimal it is a decimal that does NOT repeat * The square roots of ALL perfect squares are rational. * The square roots of numbers that are NOT perfect squares are irrational.
- 29. Try This: Identifyeach number as rational or irrational 2 81 0.53 0.627 13.875931...
- 30. Identify each numberas rational or irrational. 2 81 0.53 0.627 13.875931... Irrational Rational Rational Rational Irrational
- 31. Identify each numberas rational or irrational. 2 81 0.53 0.627 13.875931... Irrational Rational Rational Rational Irrational
- 32. Identify each numberas rational or irrational. 2 81 0.53 0.627 13.875931... Irrational Rational Rational Rational Irrational
- 33. Identify each numberas rational or irrational. 2 81 0.53 0.627 13.875931... Irrational Rational Rational Rational Irrational
- 34. Identify each numberas rational or irrational. 2 81 0.53 0.627 13.875931... Irrational Rational Rational Rational Irrational
- 35. Identify each numberas rational or irrational. 2 81 0.53 0.627 13.875931... Irrational Rational Rational Rational Irrational
- 36. Identify each numberas rational or irrational. 2 81 0.53 0.627 13.875931... Irrational Rational Rational Rational Irrational