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MTH 65 Class: Exponents and Scientific Notation Problems, Assignments of Algebra

Group practice problems for students in a mathematics (mth) class on exponents and scientific notation. The problems involve writing numbers in scientific and standard notation, finding products and quotients, simplifying expressions, and performing divisions. Students are expected to use the given values to solve each problem and write the results in scientific notation.

Typology: Assignments

Pre 2010

Uploaded on 08/17/2009

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koofers-user-fzi ๐Ÿ‡บ๐Ÿ‡ธ

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MTH 65 โ€“ Simondsโ€™ class
Page 1 of 1
Group practice problems on exponents and scientific notation
1. Write each number in scientific notation.
a.
5,312,100 b. 0.0003001
2. Write each number in standard notation.
a. 8
7.2 10โˆ’
โˆ’ร— b. 9
5.22 10ร— c. 0
7.1 10ร—
3. Find each product and/or quotient. Write the result in scientific notation.
a.
()( )
74
5.0 10 3.0 10โˆ’
โˆ’ร— โˆ’ร— b.
9
7
8.0 10
1.6 10
โˆ’
โˆ’
ร—
ร—
c.
()( )
1
79
1.0 10
4.0 10 1.0 10โˆ’
ร—
โˆ’ร—ร—
d.
(
)
(
)
()( )
20,000,000 0.0000000000008
.0004 200,000,000, 000
4. Find each value (back to basic exponent questions โ€“ the remainder of the questions are not
about scientific notation.)
a. 2
6โˆ’
โˆ’ b. 3
1โˆ’
โˆ’ c.
()
4
2
โˆ’
โˆ’ d. 3
1
5
โˆ’
e.
1
5
2
โˆ’
โŽ›โŽž
โˆ’
โŽœโŽŸ
โŽโŽ 
f.
3
2
2
4
โˆ’
โˆ’
5. Completely simplify each expression. Make sure that your final expression contains no negative
exponents.
a.
57
1
x
y
x
y
โˆ’
โˆ’ b. 7
3
โˆ’
c.
110
5
4
x
y
โˆ’
โˆ’ d.
7
5
4
3
x
y
x
โˆ’
โˆ’
e.
2
1
77
6ab
bc
โˆ’
โˆ’
โˆ’
โŽ›โŽž
โŽœโŽŸ
โŽโŽ 
f. 2
4
x
โˆ’ g.
(
)
2
2
1
6
3
xy
xโˆ’ h.
()
1
15 20
1
9wy z
โˆ’
โˆ’โˆ’
6. Perform each division.
a.
852
2
27 33 3
3
x
xx
x
โˆ’+
b.
65
3
17 16 4
4
y
yy
y
++

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MTH 65 โ€“ Simondsโ€™ class

Page 1 of 1

Group practice problems on exponents and scientific notation

  1. Write each number in scientific notation.

a. 5,312,100 b. 0.

  1. Write each number in standard notation.

a. โˆ’7.2 ร— 10 โˆ’^8 b. 5.22 ร— 109 c. 7.1 ร— 100

  1. Find each product and/or quotient. Write the result in scientific notation.

a. ( โˆ’5.0 ร— 107 )( โˆ’3.0 ร— 10 โˆ’^4 ) b.

9 7

โˆ’ โˆ’

ร—

ร—

c.

1 7 9

โˆ’ ร—

ร— ร—

d. (^ )(^ )

  1. Find each value (back to basic exponent questions โ€“ the remainder of the questions are not about scientific notation.)

a. โˆ’ 6 โˆ’^2 b. โˆ’ 1 โˆ’^3 c. ( โˆ’ 2 ) โˆ’^4 d. 13

5 โˆ’^

e.

โŽ› โŽž^ โˆ’

f.

3 2

โˆ’ โˆ’

  1. Completely simplify each expression. Make sure that your final expression contains no negative exponents.

a.

5 7 1

x y x y

โˆ’ โˆ’ b.^ 3 x โˆ’^7 c.^1 5

4 x y

โˆ’ โˆ’ d.

7 5

x y x

โˆ’ โˆ’

e.

1 2 7 7

6 a b b c

โˆ’^ โˆ’ โˆ’

f. โˆ’ 4 x^2 g.

2 2 1

x y x โˆ’^

h.

1 5 2 0 1

9 w y z โˆ’ โˆ’ โˆ’

  1. Perform each division.

a.

8 5 2 2

x x x x

โˆ’ + (^) b.^6 3

y y y y