Approximating Irrational Numbers (Grade 8)

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Approximating Irrational Numbers

1. 
The value of [math]sqrt2[/math] falls between 2.4 and 2.5.
  1. True
  2. False
2. 
The value of [math]sqrt99[/math] falls between 9 and 10.
  1. True
  2. False
3. 
Which of these is the closest approximation for [math]sqrt3[/math]?
  1. [math]1.7[/math]
  2. [math]1.732[/math]
  3. [math]1.327[/math]
  4. [math]1.3[/math]
4. 
Which of these is the closest approximation for [math]sqrt(11[/math]?
  1. 3.336
  2. 3.317
  3. 3.32
  4. 3.3166
5. 
Which of these is the closest approximation for [math]sqrt(88[/math]?
  1. 9.3810
  2. 9.38083
  3. 8.28083
  4. 9.3808
6. 
Which of these is the closest approximation for [math]sqrt(15[/math]?
  1. 3.879283
  2. 3.873183
  3. 3.872983
  4. 3.872298
7. 
Which of these is the closest approximation for [math]sqrt3/4[/math]?
  1. [math]0.433[/math]
  2. [math]0.4431[/math]
  3. [math]0.4331[/math]
  4. [math]4.33[/math]
8. 
Which of these is the closest approximation for [math]3/sqrt8[/math]?
  1. 1.06076
  2. 1.06067
  3. 1.06166
  4. 1.06066
9. 
Which of these is the closest approximation for [math]sqrt(33)/2[/math]?
  1. 2.91
  2. 2.88
  3. 2.87
  4. 3.10
10. 
Which of these is the closest approximation for [math]1/sqrt3[/math]?
  1. 0.57740
  2. 0.57735
  3. 1.57735
  4. 0.05774
11. 
Which of these is the closest approximation for [math]sqrt(55)/7[/math]?
  1. 1.05946
  2. 1.05950
  3. 1.05945
  4. 1.59456
12. 
Which of these is the closest approximation for [math]99/sqrt13[/math]?
  1. 27.4576
  2. 27.4580
  3. 27.4577
  4. 27.4575
13. 
Which of these is the closest approximation for [math]sqrt(21)/9[/math]?
  1. 0.60
  2. 0.52
  3. 0.51
  4. 0.50
14. 
Which of these is the closest approximation for [math]sqrt(77)/99[/math]?
  1. 0.88636
  2. 0.08864
  3. 0.9100
  4. 0.088636
15. 
Which of these is the closest approximation for [math]sqrt(74/31[/math]?
  1. 1.54510
  2. 2.0000
  3. 1.05450
  4. 1.54502
16. 
Which of these is the closest approximation for [math]sqrt(36/45[/math]?
  1. 0.89443
  2. 0.89442
  3. 0.89444
  4. 0.90000
17. 
Which of these is the closest approximation for [math]sqrt(33/2[/math]?
  1. 4.06
  2. 2.87
  3. 4.11
  4. 4.07
18. 
Which of these is the closest approximation for [math]sqrt(99/100[/math]?
  1. 0.99498
  2. 0.99499
  3. 0.99500
  4. 0.99487
19. 
Which of these is the closest approximation for [math]sqrt(1/900[/math]?
  1. 0.0333
  2. 0.100
  3. 0.033
  4. 0.333
20. 
Which of these is the closest approximation for [math]sqrt(59/2[/math]?
  1. 5.09
  2. 5.43
  3. 5.02
  4. 5.20

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