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WorksheetsExponents and Sci. Notation Review
Total questions: 82
Worksheet time: 3hrs 44mins
Name
Class
Date
1.
If the exponent on your power of 10 is positive, is your number larger or smaller than 10?
a)
Larger
b)
Smaller
2.
7.82 x 10-6 is an example of scientific notation. The exponent of -6 tells you your number will be very ________.
a)
Large
b)
Small
c)
Basic
3.
Change from standard form to scientific notation: 12,000,000
a)
12.0 x 107
b)
0.12 x 107
c)
1.2 x 106
d)
1.2 x 107
4.
Change from standard form to scientific notation: 450,000
a)
4.5 x 105
b)
45 x 105
c)
4.5 x 104
d)
4.5 x 106
5.
Change from standard form to scientific notation: 0.000398
a)
39.8 x 10-5
b)
3.98 x 10-5
c)
3.98 x 10-4
d)
39.8 x 10-6
6.
Change from standard form to scientific notation: 0.004078
a)
4.078 x 10-3
b)
4.078 x 103
c)
40.78 x 10-4
d)
.4078 x 10-2
7.
125,678,000: Change to scientific notation
a)
1.25678 x 1012
b)
.125678 x 10-9
c)
12.5678 x 108
d)
1.25678 x 108
8.
Try to change the number back to standard form: 6.79 x 104
a)
679,000
b)
6,790
c)
67,900
d)
6,790,000
9.
Try to change the number back to standard form: 3.97 x 10-2
a)
0.000397
b)
0.0397
c)
0.0000397
d)
0.397
10.
The factor multiplied by a power of 10 in scientific notation needs to be greater than or equal to one but less than ___________?
a)
1
b)
10
c)
100
d)
1,000
11.
Multiply:
(3.4 x 105)(1.2 x 10-3)
(3.4 x 105)(1.2 x 10-3)
a)
4.08 x 10-8
b)
4.8 x 102
c)
4.08 x 102
d)
4.08 x 10-15
12.
Divide:
(6.9 x 107) / (2.3 x 10-3)
(6.9 x 107) / (2.3 x 10-3)
a)
3 x 1010
b)
3 x 104
c)
3 x 10-4
d)
3 x 10-11
13.
Multiply:
(9.4 x 106)(3.2 x 105)
(9.4 x 106)(3.2 x 105)
a)
30.08 x 1011
b)
3.8 x 101
c)
3.008 x 1012
d)
2.9375 x 101
14.
Find the difference
(3.8 x 104) - (2 x 103)
(3.8 x 104) - (2 x 103)
a)
1.8 x 104
b)
1.8 x 101
c)
3.6 x 101
d)
3.6 x 104
15.
Add using scientific notation.
(5.2 x 10⁷) + (3.01 x 10⁴)
(5.2 x 10⁷) + (3.01 x 10⁴)
a)
8.01 x 10¹¹
b)
8.01 x 10⁷
c)
5.20301 x 10⁷
d)
5.20301 x 10⁸
16.
Write the answer in scientific notation.
4.1 x 105 + 5.5 x 106 =
4.1 x 105 + 5.5 x 106 =
a)
5.91 x 106
b)
9.6 x 105
c)
9.6 x 1011
d)
4.65 x 105
17.
Subtract using scientific notation.
(2 x 10³) - (1.9 x 10²)
(2 x 10³) - (1.9 x 10²)
a)
1.81 x 10⁵
b)
1.81 x 10³
c)
1.81 x 10⁶
d)
1.81 x 10⁴
18.
Which is the smallest?
1.3 x 1020
2.9 x 1021
9.5 x 1032
8.4 x 1019
1.3 x 1020
2.9 x 1021
9.5 x 1032
8.4 x 1019
a)
1.3 x 1020
b)
2.9 x 1021
c)
9.5 x 1032
d)
8.4 x 1019
19.
How would you write 0.0005 in scientific notation?
a)
50 x 105
b)
5 x 10-4
c)
5 x 104
d)
.5 x 103
20.
The Statue of Liberty weighs 450,000 pounds. What is this number written in scientific notation?
a)
4.5 x 10-5
b)
45 x 10-4
c)
45 x 104
d)
4.5 x 105
21.
(3.8×107)×162
a)
6.156×109
b)
6.156×108
c)
615×107
d)
615×108
22.
Express the following in scientific notation:
0.0000002203
0.0000002203
a)
.02203 x 107
b)
22.03 x 10-6
c)
2.203 x 10-7
d)
22.03 x 106
23.
Which of the following numbers is the SMALLEST?
a)
8.7 x 103
b)
3 x 104
c)
1.3 x 108
d)
9 x 102
24.
Which of the following is the LARGEST number?
a)
9 x 106
b)
8 x 1010
c)
1.3 x 1012
d)
5.3 x 103
25.
According to exponent rules, when we multiply the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
26.
According to exponent rules, when we divide the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
27.
According to exponent rules, when we raise the coefficients to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
28.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
29.
Simplify
(-7y2)(5y4)
(-7y2)(5y4)
a)
-35y6
b)
-2y6
c)
-35y8
d)
-2y8
30.
a)
5-8
b)
52
c)
25-8
d)
252
31.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
32.
Evaluate the expression using the quotient rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
33.
(2ab)3
a)
23a3b3
b)
2ab3
c)
6a3b3
d)
6ab
34.
Simplify the following:
(x2y)5
(x2y)5
a)
x7y5
b)
x2y5
c)
x10y5
d)
x5y5
35.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
36.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
37.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
38.
Make this negative exponent positive.
9-3
9-3
a)
93
b)
1/9-3
c)
1/93
d)
729
39.
Simplify the following expression:
xy-7
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
40.
Simplify the following:
(x2y)5
(x2y)5
a)
x7y5
b)
x2y5
c)
x10y5
d)
x5y5
41.
a)
9-4
b)
9-45
c)
3-4
d)
3-45
42.
a)
49
b)
444
c)
421
d)
415
43.
a)
0
b)
3
c)
1
d)
-1
44.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
45.
Make this negative exponent positive.
9-3
9-3
a)
93
b)
1/9-3
c)
1/93
d)
729
46.
According to exponent rules, when we multiply the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
47.
According to exponent rules, when we divide the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
48.
How do you write
5⋅5⋅5⋅5⋅5⋅5⋅5
with an exponent?
5⋅5⋅5⋅5⋅5⋅5⋅5
with an exponent?
a)
57
b)
56
c)
75
d)
5
49.
Simplify:
b2 ⋅ b4
b2 ⋅ b4
a)
b8
b)
b6
c)
b2
d)
2b6
50.
Simplify:
(x5)4
(x5)4
a)
x9
b)
x20
c)
x
d)
x54
51.
(x3y)6
a)
2x18y6
b)
x18y6
c)
x3y6
d)
x3y6
52.
Simplify (-1/2)0
a)
1
b)
0
c)
-1
d)
-2
53.
Simplify the following expression:
xy-7
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
54.
According to exponent rules, when we raise the power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
55.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
56.
Multiply
a)
100
b)
101
c)
10-2
d)
1/100
57.
a)
6-2
b)
1/62
c)
1/36
d)
All of the above
58.
a)
49
b)
444
c)
421
d)
415
59.
a)
0
b)
3
c)
1
d)
-1
60.
a)
w
b)
w-1= 1/w
c)
-w
d)
w17
61.
a)
a7
b)
a10
c)
a3
d)
a-3
62.
a)
2560
b)
2517
c)
560
d)
517
63.
a)
1
b)
60
c)
36/36
d)
all of the above
64.
simplify 5x3 2x2
a)
10x5
b)
3x
c)
10x6
d)
7x5
65.
Simplify to an equivalent expression BUT leave in exponent form.
43⋅45
43⋅45
a)
48
b)
168
c)
415
d)
1615
66.
Simplify m12/ m3
a)
m12-3 = m9
b)
m12/3 = m4
c)
m-9
d)
-m9
67.
Simplify (7x4)(9x3)
a)
16x12
b)
79 x12
c)
63x4+3 = 63x7
d)
63x12 noooo oh nooooo
68.
Simplify the exponential expression:
a)
10x-2
b)
2x2
c)
2x12
d)
10x12
69.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
70.
(3y⁴)²
a)
9y⁸
b)
9y⁶
c)
6y⁸
d)
6y⁶
71.
Simplify the exponential expression:
a)
10x-2
b)
2x2
c)
2x12
d)
10x12
72.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
73.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
74.
a)
y15
b)
y50
c)
y2
d)
y5
75.
What is the value of (-2)3?
a)
-8
b)
-6
c)
6
d)
1/8
76.
SImplify:
32 × 333 =
32 × 333 =
a)
366
b)
333
c)
335
d)
3-31
77.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
78.
Evaluate the expression using the quotient rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
79.
(x3)(x5)(x10)
a)
150x
b)
18x
c)
x18
d)
x150
80.
(3a2b5)4
a)
12a8b20
b)
12a6b9
c)
3a6b9
d)
81a8b20
81.
(x3)(x5)(x10)
a)
150x
b)
18x
c)
x18
d)
x150
82.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
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