Algebra Examples

$10^{2} \times 2 \frac{{(- 10 - 1)}^{2}}{11} + 20 \times 2$

Step 1

Simplify each term.

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Step 1.1

Simplify the numerator.

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Step 1.1.1

Subtract $1$ from $- 10$ .

$10^{2} \times 2 \frac{{(- 11)}^{2}}{11} + 20 \times 2$

Step 1.1.2

Raise $- 11$ to the power of $2$ .

$10^{2} \times 2 \frac{121}{11} + 20 \times 2$

Step 1.2

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

$100 \times 2 \frac{121}{11} + 20 \times 2$

Step 1.3

Multiply $100$ by $2$ .

$200 (\frac{121}{11}) + 20 \times 2$

Step 1.4

Divide $121$ by $11$ .

$200 \cdot 11 + 20 \times 2$

Step 1.5

Multiply $200$ by $11$ .

$2200 + 20 \times 2$

Step 1.6

Multiply $20$ by $2$ .

$2200 + 40$

Step 2

Add $2200$ and $40$ .

$2240$