Basic Math Examples

$8 \cdot 4 \div \sqrt{16} - 15 \div 3 + (16 - 5)$

Step 1

Simplify the expression.

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Step 1.1

Remove parentheses.

$8 \cdot 4 \div \sqrt{16} - 15 \div 3 + 16 - 5$

Step 1.2

Multiply $8$ by $4$ .

$32 \div \sqrt{16} - 15 \div 3 + 16 - 5$

$32 \div \sqrt{16} - 15 \div 3 + 16 - 5$

Step 2

Simplify each term.

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Step 2.1

Rewrite the division as a fraction.

$\frac{32}{\sqrt{16}} - 15 \div 3 + 16 - 5$

Step 2.2

Simplify the denominator.

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Step 2.2.1

Rewrite $16$ as $4^{2}$ .

$\frac{32}{\sqrt{4^{2}}} - 15 \div 3 + 16 - 5$

Step 2.2.2

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

$\frac{32}{4} - 15 \div 3 + 16 - 5$

$\frac{32}{4} - 15 \div 3 + 16 - 5$

Step 2.3

Divide $32$ by $4$ .

$8 - 15 \div 3 + 16 - 5$

Step 2.4

Divide $15$ by $3$ .

$8 - 1 \cdot 5 + 16 - 5$

Step 2.5

Multiply $- 1$ by $5$ .

$8 - 5 + 16 - 5$

$8 - 5 + 16 - 5$

Step 3

Simplify by adding and subtracting.

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Step 3.1

Subtract $5$ from $8$ .

$3 + 16 - 5$

Step 3.2

Add $3$ and $16$ .

$19 - 5$

Step 3.3

Subtract $5$ from $19$ .

$14$

$14$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$