Pre-Algebra

1st Edition

ISBN: 9780618800766

Author: Ron Larson, Lee Stiff, Laurie Boswell, Timothy Kanold

Publisher: Houghton Mifflin-High School

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Question

Chapter 1.6, Problem 54E

To determine

To explain : whether the expression represents a positive or a negative integer.

Expert Solution

Answer to Problem 54E

The expression a−b represents a negative integer.

Explanation of Solution

Given information:

The provided expression is a−b

a is a negative integer and b is a positive integer

Since, a is a negative integer and b is a positive integer

Assume, a=−1 and b=1

Therefore,

a−b=(−1)−1 [Substitute assumed values of a and b]=−1+(−1) [To subtract 1, add its opposite, (−1)]=−2 [Add]

Hence, a−b represents a negative integer.

To determine

To explain : whether the expression represents a positive or a negative integer.

Expert Solution

Answer to Problem 54E

The expression b−a represents a positive integer.

Explanation of Solution

Given information:

The provided expression is b−a

a is a negative integer and b is a positive integer

Since, a is a negative integer and b is a positive integer

Assume, a=−1 and b=1

Therefore,

b−a=1−(−1) [Substitute assumed values of a and b]=1+1 [To subtract 1, add its opposite, (−1)]=2 [Add]

Hence, b−a represents a positive integer.

To determine

To explain : whether the expression represents a positive or a negative integer.

Expert Solution

Answer to Problem 54E

The expression |a|+|b| represents a positive integer.

Explanation of Solution

Given information:

The provided expression is |a|+|b|

a is a negative integer and b is a positive integer

Since, a is a negative integer and b is a positive integer

Assume, a=−1 and b=1

Therefore,

|a|+|b|=|−1|+|1| [Substitute assumed values of a and b]=1+1 [Absolute value of |−1| is 1]=2 [Add]

Hence, |a|+|b| represents a positive integer.

To determine

To explain : whether the expression represents a positive or a negative integer.

Expert Solution

Answer to Problem 54E

The expression −|a|−|b| represents a negative integer.

Explanation of Solution

Given information:

The provided expression is −|a|−|b|

a is a negative integer and b is a positive integer

Since, a is a negative integer and b is a positive integer

Assume, a=−1 and b=1

Therefore,

−|a|−|b|=−|−1|−|1| [Substitute assumed values of a and b]=−1−1 [Absolute value of |−1| is 1]=−1+(−1) [To subtract 1 add its opposite,(−1)]=−2 [Add]

Hence, −|a|−|b| represents a negative integer.

Chapter 1.6, Problem 53E

Chapter 1.6, Problem 55E

Chapter 1 Solutions

Pre-Algebra

Ch. 1.1 - Prob. 1C Ch. 1.1 - Prob. 2C Ch. 1.1 - Prob. 3C Ch. 1.1 - Prob. 4C Ch. 1.1 - Prob. 1E Ch. 1.1 - Prob. 2E Ch. 1.1 - Prob. 3E Ch. 1.1 - Prob. 4E Ch. 1.1 - Prob. 5E Ch. 1.1 - Prob. 6E

Ch. 1.1 - Prob. 7E Ch. 1.1 - Prob. 8E Ch. 1.1 - Prob. 9E Ch. 1.1 - Prob. 10E Ch. 1.1 - Prob. 11E Ch. 1.1 - Prob. 12E Ch. 1.1 - Prob. 13E Ch. 1.1 - Prob. 14E Ch. 1.1 - Prob. 15E Ch. 1.1 - Prob. 16E Ch. 1.1 - Prob. 17E Ch. 1.1 - Prob. 18E Ch. 1.1 - Prob. 19E Ch. 1.1 - Prob. 20E Ch. 1.1 - Prob. 21E Ch. 1.1 - Prob. 22E Ch. 1.1 - Prob. 23E Ch. 1.1 - Prob. 24E Ch. 1.1 - Prob. 25E Ch. 1.1 - Prob. 26E Ch. 1.1 - Prob. 27E Ch. 1.1 - Prob. 28E Ch. 1.1 - Prob. 29E Ch. 1.1 - Prob. 30E Ch. 1.1 - Prob. 31E Ch. 1.1 - Prob. 32E Ch. 1.1 - Prob. 33E Ch. 1.1 - Prob. 34E Ch. 1.1 - Prob. 35E Ch. 1.1 - Prob. 36E Ch. 1.1 - Prob. 37E Ch. 1.1 - Prob. 38E Ch. 1.1 - Prob. 39E Ch. 1.1 - Prob. 40E Ch. 1.1 - Prob. 41E Ch. 1.1 - Prob. 42E Ch. 1.1 - Prob. 43E Ch. 1.1 - Prob. 44E Ch. 1.1 - Prob. 45E Ch. 1.1 - Prob. 46E Ch. 1.1 - Prob. 47E Ch. 1.1 - Prob. 48E Ch. 1.1 - Prob. 49E Ch. 1.1 - Prob. 50E Ch. 1.1 - Prob. 51E Ch. 1.1 - Prob. 52E Ch. 1.1 - Prob. 53E Ch. 1.1 - Prob. 54E Ch. 1.1 - Prob. 55E Ch. 1.1 - Prob. 56E Ch. 1.1 - 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