<< 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!

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