Math 7
Name:
HOMEWORK 3.1
Express each power as a product of the same factor
1) 64
2) 37
3) 73
Write each expression in exponential form
4) 4 · 4 · 4 · 4 · 4 · 4
5) 1 · 1 · 1 · 1 · 1
6) (–10)(–10)(–10)
7) (14)(14)
Evaluate
8) 5²
9) (–6)²
10) Find the square of each number
7
13
–11
a
4
–6
14
10.5
11) Circle the numbers that are perfect squares
6
8
36
49
55
64
73
100
122
169
Put the following numbers in ascending order:
12) 78%, 7.8 × 10−2 ,
4
, (0.3)²
5
1
13) 225%, 2.2 × 102 , 22 , 2²
Using the numbers 5, 3, and 4, write an example of the Commutative Property of Addition
_________________________________________________
Using number 7, write an example of the Multiplicative Inverse Property _________________________
HOMEWORK 3.1
14. Find each square root
√144
−√144
√−144
√25
√−9
−√100
√256
√−4
±√196
√225
−√169
√1
15. Solve each equation
d² = 400
x² = 289
n² = 121
16. Find the two consecutive whole numbers between which the square root of a given number lies.
Then circle the nearest integer.
√12 _______ _______
√96
_______ _______
√110 _______ _______
√3 _______ _______
√170
_______ _______
√55 _______ _______
17. Compare the following numbers using <, >, or = .
15 _____ √225
√625 _____ 2 × 101
502% ______ √16
11² _______ 1.21 × 103
18. Order the following numbers in ascending order.
1.5 × 10−2, 15%,
√15 ,
1
2
19. A marching band wants to form a square in the middle of the field. If there are 225 members in the
band, how many should be in each row?
20. If the area of a square is 529 square inches, what is the length of a side of the square?