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