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This module is from Elementary Algebra by Denny Burzynski and Wade Ellis, Jr. The basic operations with real numbers are presented in this chapter. The concept of absolute value is discussed both geometrically and symbolically. The geometric presentation offers a visual understanding of the meaning of |x|. The symbolic presentation includes a literal explanation of how to use the definition. Negative exponents are developed, using reciprocals and the rules of exponents the student has already learned. Scientific notation is also included, using unique and real-life examples.This module provides a proficiency exam for the chapter "Basic Operations with Real Numbers".

Proficiency exam

Simplify the expressions for the following problems.

( [link] ) { [ ( 6 ) ] }

6

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( [link] ) [ | 12 | 10 ] 2

4

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( [link] ) 5 ( 6 ) + 4 ( 8 ) | 5 |

7

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( [link] ) 3 ( 8 ) ( 2 ) ( 4 5 ) ( 2 ) ( 3 )

7

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( [link] ) | 7 | ( 2 ) 2 + ( 2 ) 2

7

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( [link] ) 6 ( 2 ) ( 2 ) ( 5 3 )

3

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( [link] ) 3 { [ ( 2 3 ) ] [ 2 ] } 3 ( 4 2 )

5

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( [link] ) If z = x u s , find z if x = 14 , u = 20 , and s = 2 .

3

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When simplifying the terms for the following problems, write each so that only positive exponents appear.

( [link] ) 1 ( 5 ) 3

125

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( [link] ) 5 x 3 y 2 z 4

5 x 3 z 4 y 2

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( [link] ) 2 2 m 6 ( n 4 ) 3

m 6 4 ( n 4 ) 3

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( [link] ) 4 a 6 ( 2 a 5 )

8 a 11

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( [link] ) 6 1 x 3 y 5 x 3 y 5

1 6

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( [link] ) ( k 6 ) 2 ( k 6 ) 4 ( k 6 ) 3

1 ( k 6 ) 5

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( [link] ) ( y + 1 ) 3 ( y 3 ) 4 ( y + 1 ) 5 ( y 3 ) 8

( y 3 ) 12 ( y + 1 ) 2

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( [link] ) ( 3 6 ) ( 3 2 ) ( 3 10 ) ( 3 5 ) ( 3 9 )

1

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( [link] ) [ r 6 s 2 m 5 n 4 ] 4

n 16 s 8 m 20 r 24

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( [link] ) ( c 0 ) 2 , c 0

1

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( [link] ) Write 0.000271 using scientific notation.

2.71 × 10 4

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( [link] ) Write 8.90 × 10 5 in standard form.

890 , 000

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( [link] ) Find the value of ( 3 × 10 5 ) ( 2 × 10 2 ) .

6000

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( [link] ) Find the value of ( 4 × 10 16 ) 2 .

1.6 × 10 31

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( [link] ) If k is a negative integer, is k a positive or negative integer?

a positive integer

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Questions & Answers

what does preconceived mean
sammie Reply
physiological Psychology
Nwosu Reply
How can I develope my cognitive domain
Amanyire Reply
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Dakolo Reply
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
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Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
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Wekolamo
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Skinner skipped the whole unconscious phenomenon and rather emphasized on classical conditioning
war
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Samuel
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Jonathan
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Jonathan
generally amnesi how long yrs memory loss
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interpersonal relationships
Abdulfatai Reply
What would be the best educational aid(s) for gifted kids/savants?
Heidi Reply
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Saurabh
What are the treatment for autism?
Magret Reply
hello. autism is a umbrella term. autistic kids have different disorder overlapping. for example. a kid may show symptoms of ADHD and also learning disabilities. before treatment please make sure the kid doesn't have physical disabilities like hearing..vision..speech problem. sometimes these
Jharna
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Source:  OpenStax, Elementary algebra. OpenStax CNX. May 08, 2009 Download for free at http://cnx.org/content/col10614/1.3
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