FLUENCY AND SKILLS PRACTICE
Name:
LESSON 25
Finding Rational Approximations and Locating
Them on the Number Line
Circle all the square roots that are irrational. Then find the rational approximation
to the nearest tenth of the square roots in the problems you circled. For each
circled problem, draw a number line and plot the approximate values.
1 Ï​​ ····
196 ​​
2 Ï​​ ··
8 ​​
14
2.82
3 Ï​​ ···
45 ​​
4 Ï​​ ···
77 ​​
6.70
8.77
5 Ï​​ ···
85 ​​
6 Ï​​ ···
27 ​​
9.21
8 Ï​​ ····
361 ​​
7 Ï​​ ··
6 ​​
2.44
9
5.19
19
How did you determine that the circled problems were irrational?
©Curriculum Associates, LLC
Copying permitted for classroom use.
GRADE 8
LESSON 25
FLUENCY AND SKILLS PRACTICE
Name:
LESSON 25
Estimating the Value of Irrational Expressions
Plot the approximate locations of the given values on the number line. Then
order the numbers by completing the comparison statement.
2 ​​  2p ​​ , 2Ï​​ ··
3 ​​, p 2 2
3
···
1 Ï​​ ··
2 ​​, Ï​​ ··
5 ​​, ​​ p​​
2
··
0
21
,
1
2
,
3
4
5
3 ​​  p ​​ , Ï​​ ··
2 ​​, p 2 4
4
··
0
21
,
1
0
7
,
,
1
2
,
3
4
5
4
5
4
5
4 ​​  p ​​ , 3Ï​​ ··
2 ​​, p
3
··
2
,
3
4
5
1
6
2
,
3
4
5
0
21
5 Ï​​ ··
7 ​​, Ï​​ ·····
5 2 2 ​​, Ï​​ ·····
3 2 1 ​​
21
0
21
,
1
2
,
3
2​​ p​​ , ​​ p​​ , ​​ p​​ 2 1
6 ··
3 ··
2
··
0
21
,
1
2
,
3
What are two irrational numbers that fall between 2 and 3?
©Curriculum Associates, LLC
Copying permitted for classroom use.
GRADE 8
LESSON 25