# the natural numbers from the given set.

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.1, Problem 6E

(a)

To determine

## To list: the natural numbers from the given set.

Expert Solution

The natural numbers are 11,16,153 .

### Explanation of Solution

Given information:

A set is given as {1.001,0.333...,π,11,11,1315,16,3.14,153}

Calculation:

Natural numbers are all whole numbers and positive numbers excluding zero.

Consider the given set.

{1.001,0.333...,π,11,11,1315,16,3.14,153}

Now, 16=4,153=5

Here, the natural numbers are 11,16,153 .

(b)

To determine

### To list: the integers from the given set.

Expert Solution

The integers are 11,11,16,153 .

### Explanation of Solution

Given information:

A set is given as {1.001,0.333...,π,11,11,1315,16,3.14,153}

Calculation:

Integers are all positive and negative whole numbers including zero.

Consider the given set.

{1.001,0.333...,π,11,11,1315,16,3.14,153}

Now, 16=4,153=5

Here, the integers are 11,11,16,153 .

(c)

To determine

### To list: the rational numbers from the given set.

Expert Solution

The rational numbers are 1.001,0.333...,11,11,16,3.14,153,1315 .

### Explanation of Solution

Given information:

A set is given as {1.001,0.333...,π,11,11,1315,16,3.14,153}

Calculation:

Rational numbers are all positive and negative whole numbers, fraction, repeating and recurring decimal expression including zero.

Consider the given set.

{1.001,0.333...,π,11,11,1315,16,3.14,153}

Here, the rational numbers are 1.001,0.333...,11,11,16,3.14,153,1315 .

(d)

To determine

### To list: the irrational numbers from the given set.

Expert Solution

The irrational numbers is π .

### Explanation of Solution

Given information:

A set is given as {1.001,0.333...,π,11,11,1315,16,3.14,153}

Calculation:

Irrational numbers are all real numbers except the rational number.

Rational numbers are all positive and negative whole numbers, fraction, repeating and recurring decimal expression including zero.

Consider the given set.

{1.001,0.333...,π,11,11,1315,16,3.14,153}

Here, the irrational numberis π .

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