Basic Math Examples

$\frac{1}{400} \cdot (40^{2}) - (0.2 \cdot 40) + 10$

Step 1

Simplify each term.

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Step 1.1

Raise $40$ to the power of $2$ .

$\frac{1}{400} \cdot 1600 - (0.2 \cdot 40) + 10$

Step 1.2

Cancel the common factor of $400$ .

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Step 1.2.1

Factor $400$ out of $1600$ .

$\frac{1}{400} \cdot (400 (4)) - (0.2 \cdot 40) + 10$

Step 1.2.2

Cancel the common factor.

$\frac{1}{400} \cdot (400 \cdot 4) - (0.2 \cdot 40) + 10$

Step 1.2.3

Rewrite the expression.

$4 - (0.2 \cdot 40) + 10$

Step 1.3

Multiply $- (0.2 \cdot 40)$ .

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Step 1.3.1

Multiply $0.2$ by $40$ .

$4 - 1 \cdot 8 + 10$

Step 1.3.2

Multiply $- 1$ by $8$ .

$4 - 8 + 10$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Subtract $8$ from $4$ .

$- 4 + 10$

Step 2.2

Add $- 4$ and $10$ .

$6$