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Yolo4mecuite

1. 0.817643 = rational or irrational 2. -√88 rational or irrational 3. -√169 rational or irrational 4. Estimate √58 to the nearest integer. Help! Thank you!

  • one year ago
  • one year ago

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  1. hba
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    Do you have an intuition about rational and irrational number ?

    • one year ago
  2. Yolo4mecuite
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    ummmm

    • one year ago
  3. Yolo4mecuite
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    What is that supposed to mean

    • one year ago
  4. hba
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    What is your mother toungue ?

    • one year ago
  5. Yolo4mecuite
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    That makes no sense

    • one year ago
  6. hba
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    Let me rephrase it for you, Do you know what a rational and irrational number is ?

    • one year ago
  7. AravindG
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    any number with terminating decimals is a rational number ,but those numbers having not-terminating(maybe repeating) decimals are irrational numbers.

    • one year ago
  8. Yolo4mecuite
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    Yes I do

    • one year ago
  9. hba
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    Is pi a rational or irrational number ?

    • one year ago
  10. Yolo4mecuite
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    irrational

    • one year ago
  11. hba
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    What about 0.5 ?

    • one year ago
  12. Yolo4mecuite
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    rationsl

    • one year ago
  13. AravindG
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    good :)

    • one year ago
  14. AravindG
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    i hope you understand it now :)

    • one year ago
  15. hba
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    So, 0.817643 is rational or irrational ?

    • one year ago
  16. Yolo4mecuite
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    Thanks

    • one year ago
  17. Yolo4mecuite
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    rational

    • one year ago
  18. hba
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    See, 0.5 =1/2 so rational.

    • one year ago
  19. Yolo4mecuite
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    right

    • one year ago
  20. Yolo4mecuite
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    Thanks anyways I got it

    • one year ago
  21. phi
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    rational means you can write it down as a decimal. irrational means the decimals keep going, never repeating, no rhyme or reason for what the next decimal will be pi is a good example. roots (in general) are irrational unless they are roots of perfect squares. example square root of 4 is 2 but sqrt(5) is irrational. btw, same idea for cube roots, etc...

    • one year ago
  22. Yolo4mecuite
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    Thankies!! :)

    • one year ago
  23. phi
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    The trick part in these questions is recognizing that a number is a perfect square. 169 is 13*13, so the square root of 169 is 13, and rational

    • one year ago
  24. phi
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    88 is 2*44 or 2*2*2*11 and so sqrt(88)= sqrt(2*2*2*11)= sqrt(2*2)*sqrt(2*11)= 2sqrt(22) and sqrt(22) is irrational, and 2 times an irrational is still irrational.

    • one year ago
  25. phi
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    4. Estimate √58 to the nearest integer. Are you allowed a calculator? Or did they give you a way to do this problem?

    • one year ago
  26. Yolo4mecuite
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    calculator

    • one year ago
  27. phi
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    find the square root, and round to the nearest whole number. to round, look at the digit in the tenths place (next to the decimal point) if 4 or less, drop the decimals and that is the answer if 5 or bigger, drop the decimals, but ADD 1 to the answer example: 100.3 to the nearest integer is 100 (3 is 4 or less, so drop the decimals) 210.50013 to the nearest integer is 210+1 (because 5 is 5 or bigger) you get 211

    • one year ago
  28. Yolo4mecuite
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    Alrighty thank you

    • one year ago
  29. phi
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    if you are not allowed a calculator, write down the squares near 58 7*7 is 49 58 is between them 8*8 is 64 58 is 9 away from 49 and 6 away from 64. so 58 is closer to 64 than it is to 49 that is a clue that sqrt(58) is closer to 8 than to 7

    • one year ago
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