Basic Math Examples

$10^{2} + 8^{2} \div 2^{2} - \frac{10}{5}$

Step 1

Find the common denominator.

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Step 1.1

Raise $2$ to the power of $2$ .

$10^{2} + 8^{2} \div 4 - \frac{10}{5}$

Step 1.2

Write $10^{2}$ as a fraction with denominator $1$ .

$\frac{10^{2}}{1} + 8^{2} \div 4 - \frac{10}{5}$

Step 1.3

Multiply $\frac{10^{2}}{1}$ by $\frac{20}{20}$ .

$\frac{10^{2}}{1} \cdot \frac{20}{20} + 8^{2} \div 4 - \frac{10}{5}$

Step 1.4

Multiply $\frac{10^{2}}{1}$ by $\frac{20}{20}$ .

$\frac{10^{2} \cdot 20}{20} + 8^{2} \div 4 - \frac{10}{5}$

Step 1.5

Multiply $8^{2} \div 4$ by $\frac{5}{5}$ .

$\frac{10^{2} \cdot 20}{20} + 8^{2} \div 4 \cdot \frac{5}{5} - \frac{10}{5}$

Step 1.6

Multiply $8^{2} \div 4$ by $\frac{5}{5}$ .

$\frac{10^{2} \cdot 20}{20} + \frac{8^{2} \cdot 5}{4 \cdot 5} - \frac{10}{5}$

Step 1.7

Multiply $\frac{10}{5}$ by $\frac{4}{4}$ .

$\frac{10^{2} \cdot 20}{20} + \frac{8^{2} \cdot 5}{4 \cdot 5} - (\frac{10}{5} \cdot \frac{4}{4})$

Step 1.8

Multiply $\frac{10}{5}$ by $\frac{4}{4}$ .

$\frac{10^{2} \cdot 20}{20} + \frac{8^{2} \cdot 5}{4 \cdot 5} - \frac{10 \cdot 4}{5 \cdot 4}$

Step 1.9

Multiply $4$ by $5$ .

$\frac{10^{2} \cdot 20}{20} + \frac{8^{2} \cdot 5}{20} - \frac{10 \cdot 4}{5 \cdot 4}$

Step 1.10

Reorder the factors of $5 \cdot 4$ .

$\frac{10^{2} \cdot 20}{20} + \frac{8^{2} \cdot 5}{20} - \frac{10 \cdot 4}{4 \cdot 5}$

Step 1.11

Multiply $4$ by $5$ .

$\frac{10^{2} \cdot 20}{20} + \frac{8^{2} \cdot 5}{20} - \frac{10 \cdot 4}{20}$

Step 2

Combine the numerators over the common denominator.

$\frac{10^{2} \cdot 20 + 8^{2} \cdot 5 - 10 \cdot 4}{20}$

Step 3

Simplify each term.

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Step 3.1

Raise $10$ to the power of $2$ .

$\frac{100 \cdot 20 + 8^{2} \cdot 5 - 10 \cdot 4}{20}$

Step 3.2

Multiply $100$ by $20$ .

$\frac{2000 + 8^{2} \cdot 5 - 10 \cdot 4}{20}$

Step 3.3

Raise $8$ to the power of $2$ .

$\frac{2000 + 64 \cdot 5 - 10 \cdot 4}{20}$

Step 3.4

Multiply $64$ by $5$ .

$\frac{2000 + 320 - 10 \cdot 4}{20}$

Step 3.5

Multiply $- 10$ by $4$ .

$\frac{2000 + 320 - 40}{20}$

Step 4

Simplify the expression.

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Step 4.1

Add $2000$ and $320$ .

$\frac{2320 - 40}{20}$

Step 4.2

Subtract $40$ from $2320$ .

$\frac{2280}{20}$

Step 4.3

Divide $2280$ by $20$ .

$114$