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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1.1, Problem 1E

**(a)**

To determine

**To give:** An example of a natural number.

Expert Solution

The example of a natural number is 2.

Natural numbers are the numbers which are used in counting.

That is,

Hence, natural numbers will be greater than zero and will have no fractions.

Therefore, the example of a natural number is 2.

**(b)**

To determine

**To give:** An example of an integer that is not a natural number.

Expert Solution

An integer that is not a natural number is −4.

Integers are the set of all whole numbers which includes positive, negative values and also includes zero. And it is denoted by a letter

That is,

Natural numbers are counting numbers which means that they are greater than zero.

An example of an integer that is not a natural number can be a negative number or zero.

Therefore, an example of an integer that is not a natural number is −4.

**(c)**

To determine

**To give:** An example of a rational number that is not an integer.

Expert Solution

The example of a rational number that is not an integer is

A rational number is a number which is in the form *p* and *q* are integers and

For example;

A rational number that is not an integer can be any fraction because integers are the set of all whole numbers which are positive, negative numbers and also includes zero.

Therefore, an example of a rational number that is not an integer is

**(d)**

To determine

**To give:** An example of an example of an irrational number.

Expert Solution

The example of an irrational number is

An irrational number is a number which cannot be expressed in the form *p* and *q* are integers and

For example;

Therefore, the example of an irrational number is