Concept explainers
To explain:
Why there are infinitely many rational numbers between any two rational numbers.
Answer to Problem 1NT
Solution:
Yes, there are infinitely many rational numbers between any two rational numbers.
Explanation of Solution
Given:
There are infinitely many rational numbers between any two rational numbers.
Approach:
Use denseness property of rational numbers.
Calculation:
Suppose there are two rational numbers
where
By denseness property of rational numbers, we can find a rational number
Want to see more full solutions like this?
Chapter 6 Solutions
A Problem Solving Approach to Mathematics for Elementary School Teachers, Books a la Carte Edition plus NEW MyLab Math with Pearson eText - Access Card Package (12th Edition)
- Write each of the following rational numbers as either a terminating or repeating decimal. a.6817b.813c.1720arrow_forwardTRY IT :: 7.3 Identify each of the following as rational or irrational: (a) 0.29 (b) 0.816 (c) 2.515115111...arrow_forwardIn this section, you learned to simplify the complex fraction 3x+2x x 2 4 two ways: rewriting it as a division problem multiplying the numerator and denominator by the LCD Which method do you prefer? Why?arrow_forward
- Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage