Pre-Algebra Examples

$0.001 %$

Step 1

Convert the percentage to a fraction by placing the expression over $100$ . Percentage means 'out of $100$ '.

$\frac{0.001}{100}$

Step 2

Convert the decimal number to a fraction by shifting the decimal point in both the numerator and denominator. Since there are $3$ numbers to the right of the decimal point, move the decimal point $3$ places to the right.

$\frac{1}{100000}$

Step 3

Convert the fraction to a decimal by dividing the numerator by the denominator.

$1 \times 10^{- 5}$

Step 4

Multiply $10^{- 5}$ by $1$ .

$10^{- 5}$

Step 5

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{10^{5}}$

Step 6

Raise $10$ to the power of $5$ .

$\frac{1}{100000}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{100000}$

Decimal Form:

$1 \cdot 10^{- 5}$