Name ___________________________
Date____________________
Period___________________
UNIT 2 – SQUARE ROOTS &
EXPONENTS STUDY GUIDE
Define and give an example of each:
1.) Irrational number: _________________________________________________
2.) Rational number: _________________________________________________
3.) Square root: _____________________________________________________
4.) Cubed: _________________________________________________________
5.) Why is scientific notation useful?
6.) What is the principal square root of 36.
7.) Estimate the positive square root of 22.
8.) List the squares of 121
9.) What is (7.6 x 105)( 2.5 x10 2 )?
10.) Simplify. Show all work and circle your final answer.
a.
2  6  24
b.
12.) Simplify. Show all work and circle your final answer.
8 20
a. 2 5  4 4
b.
2 8
20  12 5
13.) Which point on the number line is closest to 24 ? ________
A B C
D
-1
14.) Solve:
3
4
256
15.) Estimate the
16.) Simplify:
0
165
5  15
17.) Simplify: 4 3  6 3
Write the following in scientific notation:
18. ) 0.000000786
19.) 3940
20.) 0.06
5
6
7
Write the following in standard notation:
21.) 6.17 × 103
22.) 7 × 104
23.) 5.4 × 10-5
Directions: Name ALL the set(s) of numbers to which each number belongs.
Real, Rational, Irrational, Integer, Whole, Natural
24.)
⅔
25.)
35.99
26.)
0
27.)
5
28.)
-80
29.)
3