Basic Math Examples

$\frac{2 \cdot 9 - 7 \cdot 2}{3 \cdot 10^{2} + 2 \cdot (- 8^{3})}$

Step 1

Simplify the numerator.

Tap for more steps...

Step 1.1

Multiply $2$ by $9$ .

$\frac{18 - 7 \cdot 2}{3 \cdot 10^{2} + 2 \cdot - 1 \cdot 8^{3}}$

Step 1.2

Multiply $- 7$ by $2$ .

$\frac{18 - 14}{3 \cdot 10^{2} + 2 \cdot - 1 \cdot 8^{3}}$

Step 1.3

Subtract $14$ from $18$ .

$\frac{4}{3 \cdot 10^{2} + 2 \cdot - 1 \cdot 8^{3}}$

Step 2

Simplify the denominator.

Tap for more steps...

Step 2.1

Multiply $2$ by $- 1$ .

$\frac{4}{3 \cdot 10^{2} - 2 \cdot 8^{3}}$

Step 2.2

Raise $8$ to the power of $3$ .

$\frac{4}{3 \cdot 10^{2} - 2 \cdot 512}$

Step 2.3

Multiply $- 2$ by $512$ .

$\frac{4}{3 \cdot 10^{2} - 1024}$

Step 2.4

Convert $- 1024$ to scientific notation.

$\frac{4}{3 \cdot 10^{2} - 1.024 \cdot 10^{3}}$

Step 2.5

Move the decimal point in $3$ to the left by $1$ place and increase the power of $10^{2}$ by $1$ .

$\frac{4}{0.3 \cdot 10^{3} - 1.024 \cdot 10^{3}}$

Step 2.6

Factor $10^{3}$ out of $0.3 \cdot 10^{3} - 1.024 \cdot 10^{3}$ .

$\frac{4}{(0.3 - 1.024) \cdot 10^{3}}$

Step 2.7

Subtract $1.024$ from $0.3$ .

$\frac{4}{- 0.724 \cdot 10^{3}}$

Step 2.8

Move the decimal point in $- 0.724$ to the right by $1$ place and decrease the power of $10^{3}$ by $1$ .

$\frac{4}{- 7.24 \cdot 10^{2}}$

Step 2.9

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

$\frac{4}{- 7.24 \cdot 100}$

Step 3

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 3.1

Multiply $- 7.24$ by $100$ .

$\frac{4}{- 724}$

Step 3.2

Cancel the common factor of $4$ and $- 724$ .

Tap for more steps...

Step 3.2.1

Factor $4$ out of $4$ .

$\frac{4 (1)}{- 724}$

Step 3.2.2

Cancel the common factors.

Tap for more steps...

Step 3.2.2.1

Factor $4$ out of $- 724$ .

$\frac{4 \cdot 1}{4 \cdot - 181}$

Step 3.2.2.2

Cancel the common factor.

$\frac{4 \cdot 1}{4 \cdot - 181}$

Step 3.2.2.3

Rewrite the expression.

$\frac{1}{- 181}$

Step 3.3

Simplify the expression.

Tap for more steps...

Step 3.3.1

Move the negative in front of the fraction.

$- \frac{1}{181}$

Step 3.3.2

Divide $1$ by $181$ .

$- 1 \cdot 0.00552486$

Step 3.3.3

Multiply $- 1$ by $0.00552486$ .

$- 0.00552486$