Pre-Algebra Examples

0.001 %

$0.001 %$

Step 1

Convert the percentage to a fraction by placing the expression over

100

$100$ . Percentage means 'out of

100

$100$ '.

\frac{0.001}{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

$3$ numbers to the right of the decimal point, move the decimal point

3

$3$ places to the right.

\frac{1}{100000}

$\frac{1}{100000}$

Step 3

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

1 \times 10^{- 5}

$1 \times 10^{- 5}$

Step 4

Multiply

10^{- 5}

$10^{- 5}$ by

1

$1$ .

10^{- 5}

$10^{- 5}$

Step 5

Rewrite the expression using the negative exponent rule

b^{- n} = \frac{1}{b^{n}}

$b^{- n} = \frac{1}{b^{n}}$ .

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

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

Step 6

Raise

10

$10$ to the power of

5

$5$ .

\frac{1}{100000}

$\frac{1}{100000}$

Step 7

The result can be shown in multiple forms.

Exact Form:

\frac{1}{100000}

$\frac{1}{100000}$

Decimal Form:

1 \cdot 10^{- 5}

$1 \cdot 10^{- 5}$

0.001 %

$0.001 %$

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