Pre-Algebra Examples

$| - 4 | - | 3 | + | - 5 | - | 2 |$

Step 1

Simplify each term.

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Step 1.1

The absolute value is the distance between a number and zero. The distance between $- 4$ and $0$ is $4$ .

$4 - | 3 | + | - 5 | - | 2 |$

Step 1.2

The absolute value is the distance between a number and zero. The distance between $0$ and $3$ is $3$ .

$4 - 1 \cdot 3 + | - 5 | - | 2 |$

Step 1.3

Multiply $- 1$ by $3$ .

$4 - 3 + | - 5 | - | 2 |$

Step 1.4

The absolute value is the distance between a number and zero. The distance between $- 5$ and $0$ is $5$ .

$4 - 3 + 5 - | 2 |$

Step 1.5

The absolute value is the distance between a number and zero. The distance between $0$ and $2$ is $2$ .

$4 - 3 + 5 - 1 \cdot 2$

Step 1.6

Multiply $- 1$ by $2$ .

$4 - 3 + 5 - 2$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Subtract $3$ from $4$ .

$1 + 5 - 2$

Step 2.2

Add $1$ and $5$ .

$6 - 2$

Step 2.3

Subtract $2$ from $6$ .

$4$