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 32E

(a)

To determine

To place: the correct symbol for 23_0.67 .

Expert Solution

Answer to Problem 32E

  23<0.67

Explanation of Solution

Given information:

Two numbers are given as 23 and 0.67 .

Formula used:

For two fractions ab and cd .

  ab<cd if a<c,b=d

For two fractions ab and cd .

  ab>cd if a>c,b=d

For two fractions ab and cd .

  ab=cd if a=c,b=d

Calculation:

Consider the given numbers.

  23 and 0.67 .

Now, multiply numerator and denominator of 0.67 by 3.

  0.67=0.67×31×3=2.013

Here, for 23 and 2.013 ,

  2<2.01

Hence, 23<2.013

Therefore, 23<0.67 .

(b)

To determine

To place: the correct symbol for 23_0.67 .

Expert Solution

Answer to Problem 32E

  23>0.67

Explanation of Solution

Given information:

Two numbers are given as 23 and 0.67 .

Formula used:

For two fractions ab and cd .

  ab<cd if a<c,b=d

For two fractions ab and cd .

  ab>cd if a>c,b=d

For two fractions ab and cd .

  ab=cd if a=c,b=d

Calculation:

Consider the given numbers.

  23 and 0.67 .

Now, multiply numerator and denominator of 0.67 by 3.

  0.67=0.67×31×3=2.013

Here, for 23 and 2.013 ,

  2<2.01

Hence, 23<2.013

So, 23>0.67

(c)

To determine

To place: the correct symbol for 0.67_|0.67| .

Expert Solution

Answer to Problem 32E

  0.67=|0.67|

Explanation of Solution

Given information:

Two numbers are given as 0.67 and |0.67| .

Formula used:

For two fractions ab and cd .

  ab<cd if a<c,b=d

For two fractions ab and cd .

  ab>cd if a>c,b=d

For two fractions ab and cd .

  ab=cd if a=c,b=d

Calculation:

Consider the given numbers.

  0.67 and |0.67|

Now, |0.67|=0.67 as |a|=a

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