Concept explainers
(a)
The statement is true or false.
(a)
Answer to Problem 59HP
True
Explanation of Solution
Given:Determine whether the following statement is true or false. If true explain your reasoning. If false give a counterexample.
All integers are rational number
The statement is true.
All integers are rational number
Because all integers can be expressed as a quotient
(b)
The statement is true or false.
(b)
Answer to Problem 59HP
True
Explanation of Solution
Given: Determine whether the following statement is true or false. If true explain your reasoning. If false give a counterexample.
All whole numbers are integers.
The statement is true.
All whole numbers are integers.
Because all whole numbers are positive integers.
(c)
The statement is true or false.
(c)
Answer to Problem 59HP
False
Explanation of Solution
Given: Determine whether the following statement is true or false. If true explain your reasoning. If false give a counterexample.
A rational number is always an integer.
The statement is false.
A rational number is always an integer
Because terminating and repeating decimals are also rational numbers but they are not integers.
For example:
(d)
The statement is true or false.
(d)
Answer to Problem 59HP
True
Explanation of Solution
Given: Determine whether the following statement is true or false. If true explain your reasoning. If false give a counterexample.
All natural numbers are rational.
This statement is true
All natural numbers are rational.
Because all natural numbers can be expressed as quotient
Chapter 3 Solutions
Pre-Algebra, Student Edition
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