Basic Math Examples

1

$1$ ,

2

$2$ ,

3

$3$ ,

4

$4$ ,

5

$5$ ,

6

$6$ ,

7

$7$ ,

8

$8$

Step 1

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

\frac{1 + 2 + 3 + 4 + 5 + 6 + 7 + 8}{8}

$\frac{1 + 2 + 3 + 4 + 5 + 6 + 7 + 8}{8}$

Step 2

Simplify the numerator.

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Step 2.1

Add

1

$1$ and

2

$2$ .

\frac{3 + 3 + 4 + 5 + 6 + 7 + 8}{8}

$\frac{3 + 3 + 4 + 5 + 6 + 7 + 8}{8}$

Step 2.2

Add

3

$3$ and

3

$3$ .

\frac{6 + 4 + 5 + 6 + 7 + 8}{8}

$\frac{6 + 4 + 5 + 6 + 7 + 8}{8}$

Step 2.3

Add

6

$6$ and

4

$4$ .

\frac{10 + 5 + 6 + 7 + 8}{8}

$\frac{10 + 5 + 6 + 7 + 8}{8}$

Step 2.4

Add

10

$10$ and

5

$5$ .

\frac{15 + 6 + 7 + 8}{8}

$\frac{15 + 6 + 7 + 8}{8}$

Step 2.5

Add

15

$15$ and

6

$6$ .

\frac{21 + 7 + 8}{8}

$\frac{21 + 7 + 8}{8}$

Step 2.6

Add

21

$21$ and

7

$7$ .

\frac{28 + 8}{8}

$\frac{28 + 8}{8}$

Step 2.7

Add

28

$28$ and

8

$8$ .

\frac{36}{8}

$\frac{36}{8}$

\frac{36}{8}

$\frac{36}{8}$

Step 3

Cancel the common factor of

36

$36$ and

8

$8$ .

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Step 3.1

Factor

4

$4$ out of

36

$36$ .

\frac{4 (9)}{8}

$\frac{4 (9)}{8}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor

4

$4$ out of

8

$8$ .

\frac{4 \cdot 9}{4 \cdot 2}

$\frac{4 \cdot 9}{4 \cdot 2}$

Step 3.2.2

Cancel the common factor.

$\frac{4 \cdot 9}{4 \cdot 2}$

Step 3.2.3

Rewrite the expression.

$\frac{9}{2}$

$\frac{9}{2}$

$\frac{9}{2}$

Step 4

Divide.

$4.5$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$