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Perfect Square Roots & Approximating Non-Perfect Square Roots

Perfect Square Roots & Approximating Non-Perfect Square Roots. 8.NS.2 Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π 2 ). 

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Perfect Square Roots & Approximating Non-Perfect Square Roots

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  1. Perfect Square Roots & Approximating Non-Perfect Square Roots 8.NS.2 Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2).  8th Grade Math – Miss. Audia

  2. Square Roots - Avalue that, when multiplied by itself, gives the number (ex. √36=±6). Perfect Squares - A number made by squaring an integer. Integer – A number that is not a fraction. Remember The answer to all square roots can be either positive or negative. We write this by placing the ± sign in front of the number.

  3. What are the following square roots?

  4. √1

  5. √4

  6. √9

  7. √16

  8. √25

  9. √36

  10. √49

  11. √64

  12. √81

  13. √100

  14. √121

  15. √144

  16. √169

  17. √196

  18. √225

  19. Let’s Mix It Up

  20. √36

  21. √121

  22. √1

  23. √9

  24. √64

  25. √225

  26. √4

  27. √25

  28. √196

  29. √169

  30. √16

  31. √49

  32. √100

  33. √81

  34. √144

  35. All Square Roots of Perfect Squares are Rational Numbers! Rational Numbers – Numbers that can be written as a ratio or fraction. These numbers can also be written as terminating decimals or repeating decimals. Terminating Decimals – A decimal that does not go on forever (ex. O.25). Repeating Decimals – A decimal that has numbers that repeat forever (ex. 0.3, 0.372)

  36. The Square Roots of Non-Perfect Squares are Irrational Numbers. Irrational Numbers – Numbers that are not Rational. They cannot be written as ratios or fractions. They are decimals which never end or repeat. Examples: π, √2, √83

  37. The square roots of perfect squares are rational numbers and can be place on a number line. √1 √4 √9 √16 √25 √36 The square roots of non-perfect squares are irrational numbers. We cannot pinpoint their location on a number line, however we can approximate it.

  38. Approximate where the following square roots would be on the number line: √2, √7, √31 √1 √4 √9 √16 √25 √36

  39. Approximate where the following square roots would be on the number line: √2, √7, √31 √1 √2 √4 √7 √9 √16 √25 √31 √36

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