Finite Math Examples

$- \frac{1}{2} \cdot 20^{2} + 20 (20)$

Step 1

Simplify each term.

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Step 1.1

Raise $20$ to the power of $2$ .

$- \frac{1}{2} \cdot 400 + 20 (20)$

Step 1.2

Cancel the common factor of $2$ .

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Step 1.2.1

Move the leading negative in $- \frac{1}{2}$ into the numerator.

$\frac{- 1}{2} \cdot 400 + 20 (20)$

Step 1.2.2

Factor $2$ out of $400$ .

$\frac{- 1}{2} \cdot (2 (200)) + 20 (20)$

Step 1.2.3

Cancel the common factor.

$\frac{- 1}{2} \cdot (2 \cdot 200) + 20 (20)$

Step 1.2.4

Rewrite the expression.

$- 1 \cdot 200 + 20 (20)$

Step 1.3

Multiply $- 1$ by $200$ .

$- 200 + 20 (20)$

Step 1.4

Multiply $20$ by $20$ .

$- 200 + 400$

Step 2

Add $- 200$ and $400$ .

$200$