Basic Math Examples

$| - 3 | + 4.2 - 6 + {(- 5)}^{3} - (3 - (2 + 4))$

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 $- 3$ and $0$ is $3$ .

$3 + 4.2 - 6 + {(- 5)}^{3} - (3 - (2 + 4))$

Step 1.2

Raise $- 5$ to the power of $3$ .

$3 + 4.2 - 6 - 125 - (3 - (2 + 4))$

Step 1.3

Simplify each term.

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Step 1.3.1

Add $2$ and $4$ .

$3 + 4.2 - 6 - 125 - (3 - 1 \cdot 6)$

Step 1.3.2

Multiply $- 1$ by $6$ .

$3 + 4.2 - 6 - 125 - (3 - 6)$

Step 1.4

Subtract $6$ from $3$ .

$3 + 4.2 - 6 - 125 - - 3$

Step 1.5

Multiply $- 1$ by $- 3$ .

$3 + 4.2 - 6 - 125 + 3$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Add $3$ and $4.2$ .

$7.2 - 6 - 125 + 3$

Step 2.2

Subtract $6$ from $7.2$ .

$1.2 - 125 + 3$

Step 2.3

Subtract $125$ from $1.2$ .

$- 123.8 + 3$

Step 2.4

Add $- 123.8$ and $3$ .

$- 120.8$