BuyFind

Precalculus: Mathematics for Calcu...

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

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

Answer to Problem 6E

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

Answer to Problem 6E

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

Answer to Problem 6E

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

Answer to Problem 6E

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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