Concept explainers
(a)
To find: an example a rational number.
(a)
Answer to Problem 58HP
The Rational number is
2.458.
Explanation of Solution
Given information:
The set of all real numbers is dense, meaning between any two distinct members of the set there lies infinitely many other members of the set.
Given numbers
2.45 and 2.5
Calculation:
In this case, the number with a finite decimal is rational and the one with an infinite decimal is irrational.
The Rational number is between 2.45 and 2.5 is
2.458.
(b)
To find: an example an irrational number between the given numbers.
(b)
Answer to Problem 58HP
The Irrational number is
2.45678312…
Explanation of Solution
Given information:
The set of all real numbers is dense, meaning between any two distinct members of the set there lies infinitely many other members of the set.
Given numbers
2.45 and 2.5
Calculation:
In this case, the number with a finite decimal is rational and the one with an infinite decimal is irrational.
The Irrational number is between 2.45 and 2.5 is
2.45678312…
Chapter 1 Solutions
Glencoe Algebra 2 Student Edition C2014
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