# the expression | 5 − 5 | .

### 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 66E

(a)

To determine

## To evaluate: the expression |5−5| .

Expert Solution

|55|=2.7640

### Explanation of Solution

Given information:

An expression is given as |55| .

Formula used:

Absolute value property:

For any real number a,

|a|=a0|a|=|a|=a

Calculation:

Consider the given expression.

|55|

Value of 5 is 2.2360.

Substitute the value in |55| .

|55|=|2.23605|=|2.7640|

Now, compare the expression with |a| :

|a|=|2.7640|a=2.7640

Now, by absolute value property:

|a|=|a|=a

Therefore, |2.7640|=2.7640

Hence, |55|=2.7640

(b)

To determine

Expert Solution

|10π|=6.8571

### Explanation of Solution

Given information:

An expression is given as |10π| .

Formula used:

Absolute value property:

For any real number a,

|a|=a0|a|=|a|=a

Calculation:

Consider the given expression.

Value of π is 3.1428.

Substitute the value in |10π| .

|10π|=|103.1428|=|6.8571|

Now, compare the expression with |a| :

|a|=|6.8571|a=6.8571

Now, by absolute value property:

|a|=a0

Therefore, |6.8571|=6.8571

Hence, |10π|=6.8571 .

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