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Start Bellwork #. Chapter 11-1 p.560. Square Roots and Irrational Numbers. 3. 2. 1. The square of an integer is a perfect square . The opposite of squaring a number is taking the square root. Example. For example

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Start Bellwork #

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  1. Start Bellwork #

  2. Chapter 11-1 p.560 Square Roots and Irrational Numbers

  3. 3 2 1 The square of an integer is a perfect square. The opposite of squaring a number is taking the square root.

  4. Example • For example asks what number multiplied by itself is equal to 81? That number is 9. Is there another solution to that problem?

  5. Example • For example asks what number multiplied by itself is equal to 81? That number is 9. Is there another solution to that problem? Yes, -9 is also a solution.

  6. Simplify each square root

  7. Simplify each square root 10

  8. Simplify each square root 10 -4

  9. Squares and roots • Here is a list that will be helpful:

  10. Do you see that squares and square roots are inverses (opposites) of each other?

  11. Estimating square roots • Once we have memorized these squares and their roots, we can estimate square roots that are not perfect squares • For example, what about ?

  12. Estimating square roots • We find the two perfect squares that are before and after the square root of 8. . . • and • Look at them on a number line: 3 2

  13. Estimating square roots • We can see that is between 2 and 3 but is closer to 3. We would say that is approximately 3. 3 2

  14. TRY THIS:Estimate to the nearest whole number

  15. TRY THIS:Estimate to the nearest whole number 5

  16. TRY THIS:Estimate to the nearest whole number 5 -9

  17. TRY THIS:Estimate to the nearest whole number 5 -9 7

  18. 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.

  19. Try This: Identify each number as rational or irrational

  20. Try This: Identify each number as rational or irrational Irrational

  21. Try This: Identify each number as rational or irrational Irrational Rational

  22. Try This: Identify each number as rational or irrational Irrational Rational Rational

  23. Try This: Identify each number as rational or irrational Irrational Rational Rational Rational

  24. Try This: Identify each number as rational or irrational Irrational Rational Rational Rational Irrational

  25. Agenda • PA#48 • P.562 #16-35 • Print out CAT 6 review from my website or teacherweb.com (P.9-30)

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