Basic Math Examples

$10^{9} - 10^{- 2}$

Step 1

Simplify each term.

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Step 1.1

Raise

$10$ to the power of

$9$ .

$1000000000 - 10^{- 2}$

Step 1.2

Rewrite the expression using the negative exponent rule

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

$1000000000 - \frac{1}{10^{2}}$

Step 1.3

Raise

$10$ to the power of

$2$ .

$1000000000 - \frac{1}{100}$

Step 2

To write

$1000000000$ as a fraction with a common denominator, multiply by

$\frac{100}{100}$ .

$1000000000 \cdot \frac{100}{100} - \frac{1}{100}$

Step 3

Combine

$1000000000$ and

$\frac{100}{100}$ .

$\frac{1000000000 \cdot 100}{100} - \frac{1}{100}$

Step 4

Combine the numerators over the common denominator.

$\frac{1000000000 \cdot 100 - 1}{100}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$1000000000$ by

$100$ .

$\frac{100000000000 - 1}{100}$

Step 5.2

Subtract

$1$ from

$100000000000$ .

$\frac{99999999999}{100}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{99999999999}{100}$

Decimal Form:

$999999999.99$

Mixed Number Form:

$999999999 \frac{99}{100}$