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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 contains the exercise supplement for the chapter "Basic Operations with Real Numbers".

Exercise supplement

Signed numbers ( [link] )

For the following problems, find a if a is

Absolute value ( [link] )

Simplify the following problems.

Addition of signed numbers ( [link] ) - multiplication and division of signed numbers ( [link] )

Simplify the following problems.

( 2 ) ( 4 ) + 10 5

18 5

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3 ( 8 + 4 ) 12 4 ( 3 + 6 ) 2 ( 8 )

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1 ( 3 2 ) 4 ( 4 ) 13 + 10

7

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0 6 ( 4 ) ( 2 )

48

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Multiplication and division of signed numbers ( [link] )

Find the value of each expression for the following problems.

P = R C . Find P if R = 3000 and C = 3800 .

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z = x u s . Find z if x = 22 , u = 30 , and s = 8 .

1

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P = n ( n 1 ) ( n 2 ) . Find P if n = 3 .

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Negative exponents ( [link] )

Write the expressions for the following problems using only positive exponents.

a 3 b 2 c 5

a 3 b 2 c 5

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x 3 y 2 ( x 3 ) 7

x 3 y 2 ( x 3 ) 7

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4 2 a 3 b 4 c 5

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( 2 x + 9 ) 3 7 x 4 y 5 z 2 ( 3 x 1 ) 2 ( 2 x + 5 ) 1

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7 x y 3 z 2

7 x y 3 z 2

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3 2 a 5 b 9 c 2 x 2 y 4 z 1

c 2 y 4 z 9 a 5 b 9 x 2

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( z 6 ) 2 ( z + 6 ) 4

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16 a 5 b 2 2 a 3 b 5

8 a 2 b 3

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44 x 3 y 6 z 8 11 x 2 y 7 z 8

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( a 2 b ) 3

1 a 6 b 3

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( x 3 y 4 z 2 ) 6

y 24 z 12 x 18

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( x 6 y 2 ) 5

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( 2 b 7 c 8 d 4 x 2 y 3 z ) 4

b 28 c 32 y 12 z 4 16 d 16 x 8

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Scientific notation ( [link] )

Write the following problems using scientific notation.

0.000000000000537

5.37 × 10 13

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Convert the following problems from scientific form to standard form.

6.009 × 10 7

60 , 090 , 000

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3.88 × 10 5

0.0000388

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8.002 × 10 12

0.000000000008002

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2.101 × 10 15

2 , 101 , 000 , 000 , 000 , 000

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1 × 10 9

1 , 000 , 000 , 000

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Find the product for the following problems. Write the result in scientific notation.

( 1 × 10 5 ) ( 2 × 10 3 )

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( 3 × 10 6 ) ( 7 × 10 7 )

2.1 × 10 14

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( 2 × 10 14 ) ( 8 × 10 19 )

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( 9 × 10 2 ) ( 3 × 10 75 )

2.7 × 10 78

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( 1 × 10 4 ) ( 1 × 10 5 )

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( 8 × 10 3 ) ( 3 × 10 6 )

2.4 × 10 8

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( 9 × 10 5 ) ( 2 × 10 1 )

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( 3 × 10 2 ) ( 7 × 10 2 )

2.1 × 10 1

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( 7.3 × 10 4 ) ( 2.1 × 10 8 )

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( 1.06 × 10 16 ) ( 2.815 × 10 12 )

2.9839 × 10 28

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( 9.3806 × 10 52 ) ( 1.009 × 10 31 )

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Questions & Answers

Discuss the differences between taste and flavor, including how other sensory inputs contribute to our  perception of flavor.
John Reply
taste refers to your understanding of the flavor . while flavor one The other hand is refers to sort of just a blend things.
Faith
While taste primarily relies on our taste buds, flavor involves a complex interplay between taste and aroma
Kamara
which drugs can we use for ulcers
Ummi Reply
omeprazole
Kamara
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Renee
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Renee
is a drug
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Kamara
Omeprazole Cimetidine / Tagament For the complicated once ulcer - kit
Patrick
what is the function of lymphatic system
Nency Reply
Not really sure
Eli
to drain extracellular fluid all over the body.
asegid
The lymphatic system plays several crucial roles in the human body, functioning as a key component of the immune system and contributing to the maintenance of fluid balance. Its main functions include: 1. Immune Response: The lymphatic system produces and transports lymphocytes, which are a type of
asegid
to transport fluids fats proteins and lymphocytes to the blood stream as lymph
Adama
what is anatomy
Oyindarmola Reply
Anatomy is the identification and description of the structures of living things
Kamara
what's the difference between anatomy and physiology
Oyerinde Reply
Anatomy is the study of the structure of the body, while physiology is the study of the function of the body. Anatomy looks at the body's organs and systems, while physiology looks at how those organs and systems work together to keep the body functioning.
AI-Robot
what is enzymes all about?
Mohammed Reply
Enzymes are proteins that help speed up chemical reactions in our bodies. Enzymes are essential for digestion, liver function and much more. Too much or too little of a certain enzyme can cause health problems
Kamara
yes
Prince
how does the stomach protect itself from the damaging effects of HCl
Wulku Reply
little girl okay how does the stomach protect itself from the damaging effect of HCL
Wulku
it is because of the enzyme that the stomach produce that help the stomach from the damaging effect of HCL
Kamara
function of digestive system
Ali Reply
function of digestive
Ali
the diagram of the lungs
Adaeze Reply
what is the normal body temperature
Diya Reply
37 degrees selcius
Xolo
37°c
Stephanie
please why 37 degree selcius normal temperature
Mark
36.5
Simon
37°c
Iyogho
the normal temperature is 37°c or 98.6 °Fahrenheit is important for maintaining the homeostasis in the body the body regular this temperature through the process called thermoregulation which involves brain skin muscle and other organ working together to maintain stable internal temperature
Stephanie
37A c
Wulku
what is anaemia
Diya Reply
anaemia is the decrease in RBC count hemoglobin count and PVC count
Eniola
what is the pH of the vagina
Diya Reply
how does Lysin attack pathogens
Diya
acid
Mary
I information on anatomy position and digestive system and there enzyme
Elisha Reply
anatomy of the female external genitalia
Muhammad Reply
Organ Systems Of The Human Body (Continued) Organ Systems Of The Human Body (Continued)
Theophilus Reply
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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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