Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Review - Concept Check - Page 132: 1

Answer

A) The natural numbers consist of all the numbers that are positive but 0 is not included. The set of integers include the natural numbers, but it also includes 0 and the negative numbers. An example of an integer that is not a natural number is -5 B) The set of rational numbers consist of the division of integers. An example of rational that is not an integer is $\frac{3}{2}$ because for a number to be an integer and a natural number it has to be whole. In this case the result of the ratio is 1.5 which makes it a rational number but not an integer. C) An irrational number is when they can’t be expressed as ratio because they are $\infty$. An example is $\pi$ D) The set of real number include all the rational numbers, the intgers and the irrational numbers.

Work Step by Step

A) The natural numbers consist of all the numbers that are positive but 0 is not included. The set of integers include the natural numbers, but it also includes 0 and the negative numbers. An example of an integer that is not a natural number is -5 B) The set of rational numbers consist of the division of integers. An example of rational that is not an integer is $\frac{3}{2}$ because for a number to be an integer and a natural number it has to be whole. In this case the result of the ratio is 1.5 which makes it a rational number but not an integer. C) An irrational number is when they can’t be expressed as ratio because they are $\infty$. An example is $\pi$ D) The set of real number include all the rational numbers, the intgers and the irrational numbers.
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