# the expression | 2 − | − 12 | | .

### 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 68E

(a)

To determine

## To evaluate: the expression |2−|−12|| .

Expert Solution

|2|12||=10

### Explanation of Solution

Given information:

An expression is given as |2|12|| .

Formula used:

Absolute value property:

For any real number a,

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

Calculation:

Consider the given expression.

|2|12||

Now, evaluate the expression:

|2|12||=|212| [|a|=|a|=a]=|10| [|a|=|a|=a]=10

Hence, |2|12||=10

(b)

To determine

Expert Solution

1|1|1||=1

### Explanation of Solution

Given information:

An expression is given as 1|1|1|| .

Formula used:

Absolute value property:

For any real number a,

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

Calculation:

Consider the given expression.

Now, evaluate the expression:

1|1|1||=1|11| [|a|=|a|=a]=1|0| =1

Hence, 1|1|1||=1 .

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