# To place: the correct symbol for 2 3 _ 0.67 . ### 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 32E

(a)

To determine

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

Expert Solution

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

Expert Solution

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

Expert Solution

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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