Basic Math Examples

3

$3$ ,

89 \cdot 10^{- 2}

$89 \cdot 10^{- 2}$

Step 1

Move the decimal point in

89

$89$ to the left by

1

$1$ place and increase the power of

10^{- 2}

$10^{- 2}$ by

1

$1$ .

3, 8.9 \cdot 10^{- 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}

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

Step 3

Convert

3

$3$ to scientific notation.

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

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

Step 4

Move the decimal point in

8.9

$8.9$ to the left by

1

$1$ place and increase the power of

10^{- 1}

$10^{- 1}$ by

1

$1$ .

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

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

Step 5

Factor

10^{0}

$10^{0}$ out of

3 \cdot 10^{0} + 0.89 \cdot 10^{0}

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

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

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

Step 6

Add

3

$3$ and

0.89

$0.89$ .

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

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

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})

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

Step 7.2

Divide

3.89

$3.89$ by

2

$2$ .

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

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

Step 7.3

Divide

10^{0}

$10^{0}$ by

1

$1$ .

1.945 \cdot 10^{0}

$1.945 \cdot 10^{0}$

1.945 \cdot 10^{0}

$1.945 \cdot 10^{0}$

Step 8

Convert

1.945 \cdot 10^{0}

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

1.945

$1.945$

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

$1.9$