Basic Math Examples

$(1 - 3) - (7 + 25) + (9 - 5) - (\sqrt{100} - 9) - (- 2 - 7)$

Step 1

Remove parentheses.

$(1 - 3) - (7 + 25) + 9 - 5 - (\sqrt{100} - 9) - (- 2 - 7)$

Step 2

Simplify each term.

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Step 2.1

Add $7$ and $25$ .

$1 - 3 - 1 \cdot 32 + 9 - 5 - (\sqrt{100} - 9) - (- 2 - 7)$

Step 2.2

Multiply $- 1$ by $32$ .

$1 - 3 - 32 + 9 - 5 - (\sqrt{100} - 9) - (- 2 - 7)$

Step 2.3

Simplify each term.

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Step 2.3.1

Rewrite $100$ as $10^{2}$ .

$1 - 3 - 32 + 9 - 5 - (\sqrt{10^{2}} - 9) - (- 2 - 7)$

Step 2.3.2

Pull terms out from under the radical, assuming positive real numbers.

$1 - 3 - 32 + 9 - 5 - (10 - 9) - (- 2 - 7)$

Step 2.4

Subtract $9$ from $10$ .

$1 - 3 - 32 + 9 - 5 - 1 \cdot 1 - (- 2 - 7)$

Step 2.5

Multiply $- 1$ by $1$ .

$1 - 3 - 32 + 9 - 5 - 1 - (- 2 - 7)$

Step 2.6

Subtract $7$ from $- 2$ .

$1 - 3 - 32 + 9 - 5 - 1 - - 9$

Step 2.7

Multiply $- 1$ by $- 9$ .

$1 - 3 - 32 + 9 - 5 - 1 + 9$

Step 3

Simplify by adding and subtracting.

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Step 3.1

Subtract $3$ from $1$ .

$- 2 - 32 + 9 - 5 - 1 + 9$

Step 3.2

Subtract $32$ from $- 2$ .

$- 34 + 9 - 5 - 1 + 9$

Step 3.3

Add $- 34$ and $9$ .

$- 25 - 5 - 1 + 9$

Step 3.4

Subtract $5$ from $- 25$ .

$- 30 - 1 + 9$

Step 3.5

Subtract $1$ from $- 30$ .

$- 31 + 9$

Step 3.6

Add $- 31$ and $9$ .

$- 22$