<< Chapter < Page Chapter >> Page >
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

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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

7

Got questions? Get instant answers now!

0 6 ( 4 ) ( 2 )

48

Got questions? Get instant answers now!

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 .

Got questions? Get instant answers now!

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

1

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

x 3 y 2 ( x 3 ) 7

x 3 y 2 ( x 3 ) 7

Got questions? Get instant answers now!

4 2 a 3 b 4 c 5

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

7 x y 3 z 2

7 x y 3 z 2

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

( z 6 ) 2 ( z + 6 ) 4

Got questions? Get instant answers now!

16 a 5 b 2 2 a 3 b 5

8 a 2 b 3

Got questions? Get instant answers now!

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

Got questions? Get instant answers now!

( a 2 b ) 3

1 a 6 b 3

Got questions? Get instant answers now!

( x 3 y 4 z 2 ) 6

y 24 z 12 x 18

Got questions? Get instant answers now!

( x 6 y 2 ) 5

Got questions? Get instant answers now!

( 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

Got questions? Get instant answers now!

Scientific notation ( [link] )

Write the following problems using scientific notation.

0.000000000000537

5.37 × 10 13

Got questions? Get instant answers now!

Convert the following problems from scientific form to standard form.

6.009 × 10 7

60 , 090 , 000

Got questions? Get instant answers now!

3.88 × 10 5

0.0000388

Got questions? Get instant answers now!

8.002 × 10 12

0.000000000008002

Got questions? Get instant answers now!

2.101 × 10 15

2 , 101 , 000 , 000 , 000 , 000

Got questions? Get instant answers now!

1 × 10 9

1 , 000 , 000 , 000

Got questions? Get instant answers now!

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

( 1 × 10 5 ) ( 2 × 10 3 )

Got questions? Get instant answers now!

( 3 × 10 6 ) ( 7 × 10 7 )

2.1 × 10 14

Got questions? Get instant answers now!

( 2 × 10 14 ) ( 8 × 10 19 )

Got questions? Get instant answers now!

( 9 × 10 2 ) ( 3 × 10 75 )

2.7 × 10 78

Got questions? Get instant answers now!

( 1 × 10 4 ) ( 1 × 10 5 )

Got questions? Get instant answers now!

( 8 × 10 3 ) ( 3 × 10 6 )

2.4 × 10 8

Got questions? Get instant answers now!

( 9 × 10 5 ) ( 2 × 10 1 )

Got questions? Get instant answers now!

( 3 × 10 2 ) ( 7 × 10 2 )

2.1 × 10 1

Got questions? Get instant answers now!

( 7.3 × 10 4 ) ( 2.1 × 10 8 )

Got questions? Get instant answers now!

( 1.06 × 10 16 ) ( 2.815 × 10 12 )

2.9839 × 10 28

Got questions? Get instant answers now!

( 9.3806 × 10 52 ) ( 1.009 × 10 31 )

Got questions? Get instant answers now!

Questions & Answers

what is mutation
Janga Reply
what is a cell
Sifune Reply
how is urine form
Sifune
what is antagonism?
mahase Reply
classification of plants, gymnosperm features.
Linsy Reply
what is the features of gymnosperm
Linsy
how many types of solid did we have
Samuel Reply
what is an ionic bond
Samuel
What is Atoms
Daprince Reply
what is fallopian tube
Merolyn
what is bladder
Merolyn
what's bulbourethral gland
Eduek Reply
urine is formed in the nephron of the renal medulla in the kidney. It starts from filtration, then selective reabsorption and finally secretion
onuoha Reply
State the evolution relation and relevance between endoplasmic reticulum and cytoskeleton as it relates to cell.
Jeremiah
what is heart
Konadu Reply
how is urine formed in human
Konadu
how is urine formed in human
Rahma
what is the diference between a cavity and a canal
Pelagie Reply
what is the causative agent of malaria
Diamond
malaria is caused by an insect called mosquito.
Naomi
Malaria is cause by female anopheles mosquito
Isaac
Malaria is caused by plasmodium Female anopheles mosquitoe is d carrier
Olalekan
a canal is more needed in a root but a cavity is a bad effect
Commander
what are pathogens
Don Reply
In biology, a pathogen (Greek: πάθος pathos "suffering", "passion" and -γενής -genēs "producer of") in the oldest and broadest sense, is anything that can produce disease. A pathogen may also be referred to as an infectious agent, or simply a germ. The term pathogen came into use in the 1880s.[1][2
Zainab
A virus
Commander
Definition of respiration
Muhsin Reply
respiration is the process in which we breath in oxygen and breath out carbon dioxide
Achor
how are lungs work
Commander
where does digestion begins
Achiri Reply
in the mouth
EZEKIEL
what are the functions of follicle stimulating harmones?
Rashima Reply
stimulates the follicle to release the mature ovum into the oviduct
Davonte
what are the functions of Endocrine and pituitary gland
Chinaza
endocrine secrete hormone and regulate body process
Achor
while pituitary gland is an example of endocrine system and it's found in the Brain
Achor
what's biology?
Egbodo Reply
Biology is the study of living organisms, divided into many specialized field that cover their morphology, physiology,anatomy, behaviour,origin and distribution.
Lisah
biology is the study of life.
Alfreda
Biology is the study of how living organisms live and survive in a specific environment
Sifune
Got questions? Join the online conversation and get instant answers!
Jobilize.com Reply

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




Source:  OpenStax, Elementary algebra. OpenStax CNX. May 08, 2009 Download for free at http://cnx.org/content/col10614/1.3
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Elementary algebra' conversation and receive update notifications?

Ask