Basic Math Examples

$3$ , $89 \cdot 10^{- 2}$

Step 1

Move the decimal point in $89$ to the left by $1$ place and increase the power of $10^{- 2}$ by $1$ .

$3, 8.9 \cdot 10^{- 1}$

Step 2

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

$\frac{3 + 8.9 \cdot 10^{- 1}}{2}$

Step 3

Convert $3$ to scientific notation.

$\frac{3 \cdot 10^{0} + 8.9 \cdot 10^{- 1}}{2}$

Step 4

Move the decimal point in $8.9$ to the left by $1$ place and increase the power of $10^{- 1}$ by $1$ .

$\frac{3 \cdot 10^{0} + 0.89 \cdot 10^{0}}{2}$

Step 5

Factor $10^{0}$ out of $3 \cdot 10^{0} + 0.89 \cdot 10^{0}$ .

$\frac{(3 + 0.89) \cdot 10^{0}}{2}$

Step 6

Add $3$ and $0.89$ .

$\frac{3.89 \cdot 10^{0}}{2}$

Step 7

Divide using scientific notation.

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Step 7.1

Group coefficients together and exponents together to divide numbers in scientific notation.

$(\frac{3.89}{2}) (\frac{10^{0}}{1})$

Step 7.2

Divide $3.89$ by $2$ .

$1.945 \frac{10^{0}}{1}$

Step 7.3

Divide $10^{0}$ by $1$ .

$1.945 \cdot 10^{0}$

Step 8

Convert $1.945 \cdot 10^{0}$ from scientific notation.

$1.945$

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.

$1.9$