Basic Math Examples

$1$ , $1 \cdot 10^{- 12}$

Step 1

Multiply $10^{- 12}$ by $1$ .

$1, 10^{- 12}$

Step 2

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

$1, \frac{1}{10^{12}}$

Step 3

Raise $10$ to the power of $12$ .

$1, \frac{1}{1000000000000}$

Step 4

The mean of a set of numbers is the sum divided by the number of terms.

$\frac{1 + \frac{1}{1000000000000}}{2}$

Step 5

Simplify the numerator.

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Step 5.1

Write $1$ as a fraction with a common denominator.

$\frac{\frac{1000000000000}{1000000000000} + \frac{1}{1000000000000}}{2}$

Step 5.2

Combine the numerators over the common denominator.

$\frac{\frac{1000000000000 + 1}{1000000000000}}{2}$

Step 5.3

Add $1000000000000$ and $1$ .

$\frac{\frac{1000000000001}{1000000000000}}{2}$

Step 6

Multiply the numerator by the reciprocal of the denominator.

$\frac{1000000000001}{1000000000000} \cdot \frac{1}{2}$

Step 7

Multiply $\frac{1000000000001}{1000000000000} \cdot \frac{1}{2}$ .

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Step 7.1

Multiply $\frac{1000000000001}{1000000000000}$ by $\frac{1}{2}$ .

$\frac{1000000000001}{1000000000000 \cdot 2}$

Step 7.2

Multiply $1000000000000$ by $2$ .

$\frac{1000000000001}{2000000000000}$

Step 8

Divide.

$0.5$

Step 9

The mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

$0.5$