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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

if three forces F1.f2 .f3 act at a point on a Cartesian plane in the daigram .....so if the question says write down the x and y components ..... I really don't understand
Syamthanda Reply
hey , can you please explain oxidation reaction & redox ?
Boitumelo Reply
hey , can you please explain oxidation reaction and redox ?
Boitumelo
for grade 12 or grade 11?
Sibulele
the value of V1 and V2
Tumelo Reply
advantages of electrons in a circuit
Rethabile Reply
we're do you find electromagnetism past papers
Ntombifuthi
what a normal force
Tholulwazi Reply
it is the force or component of the force that the surface exert on an object incontact with it and which acts perpendicular to the surface
Sihle
what is physics?
Petrus Reply
what is the half reaction of Potassium and chlorine
Anna Reply
how to calculate coefficient of static friction
Lisa Reply
how to calculate static friction
Lisa
How to calculate a current
Tumelo
how to calculate the magnitude of horizontal component of the applied force
Mogano
How to calculate force
Monambi
a structure of a thermocouple used to measure inner temperature
Anna Reply
a fixed gas of a mass is held at standard pressure temperature of 15 degrees Celsius .Calculate the temperature of the gas in Celsius if the pressure is changed to 2×10 to the power 4
Amahle Reply
How is energy being used in bonding?
Raymond Reply
what is acceleration
Syamthanda Reply
a rate of change in velocity of an object whith respect to time
Khuthadzo
how can we find the moment of torque of a circular object
Kidist
Acceleration is a rate of change in velocity.
Justice
t =r×f
Khuthadzo
how to calculate tension by substitution
Precious Reply
hi
Shongi
hi
Leago
use fnet method. how many obects are being calculated ?
Khuthadzo
khuthadzo hii
Hulisani
how to calculate acceleration and tension force
Lungile Reply
you use Fnet equals ma , newtoms second law formula
Masego
please help me with vectors in two dimensions
Mulaudzi Reply
how to calculate normal force
Mulaudzi
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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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