Basic Math Examples

$2$ , $4$ , $6$ , $8$ , $10$ , $12$ , $14$ , $16$ , $18$ , $20$

Step 1

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

$\frac{2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20}{10}$

Step 2

Cancel the common factor of $2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20$ and $10$ .

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Step 2.1

Factor $2$ out of $2$ .

$\frac{2 (1) + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20}{10}$

Step 2.2

Factor $2$ out of $4$ .

$\frac{2 \cdot 1 + 2 \cdot 2 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20}{10}$

Step 2.3

Factor $2$ out of $2 \cdot 1 + 2 \cdot 2$ .

$\frac{2 \cdot (1 + 2) + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20}{10}$

Step 2.4

Factor $2$ out of $6$ .

$\frac{2 \cdot (1 + 2) + 2 (3) + 8 + 10 + 12 + 14 + 16 + 18 + 20}{10}$

Step 2.5

Factor $2$ out of $2 \cdot (1 + 2) + 2 (3)$ .

$\frac{2 \cdot (1 + 2 + 3) + 8 + 10 + 12 + 14 + 16 + 18 + 20}{10}$

Step 2.6

Factor $2$ out of $8$ .

$\frac{2 \cdot (1 + 2 + 3) + 2 (4) + 10 + 12 + 14 + 16 + 18 + 20}{10}$

Step 2.7

Factor $2$ out of $2 \cdot (1 + 2 + 3) + 2 (4)$ .

$\frac{2 \cdot (1 + 2 + 3 + 4) + 10 + 12 + 14 + 16 + 18 + 20}{10}$

Step 2.8

Factor $2$ out of $10$ .

$\frac{2 \cdot (1 + 2 + 3 + 4) + 2 (5) + 12 + 14 + 16 + 18 + 20}{10}$

Step 2.9

Factor $2$ out of $2 \cdot (1 + 2 + 3 + 4) + 2 (5)$ .

$\frac{2 \cdot (1 + 2 + 3 + 4 + 5) + 12 + 14 + 16 + 18 + 20}{10}$

Step 2.10

Factor $2$ out of $12$ .

$\frac{2 \cdot (1 + 2 + 3 + 4 + 5) + 2 (6) + 14 + 16 + 18 + 20}{10}$

Step 2.11

Factor $2$ out of $2 \cdot (1 + 2 + 3 + 4 + 5) + 2 (6)$ .

$\frac{2 \cdot (1 + 2 + 3 + 4 + 5 + 6) + 14 + 16 + 18 + 20}{10}$

Step 2.12

Factor $2$ out of $14$ .

$\frac{2 \cdot (1 + 2 + 3 + 4 + 5 + 6) + 2 (7) + 16 + 18 + 20}{10}$

Step 2.13

Factor $2$ out of $2 \cdot (1 + 2 + 3 + 4 + 5 + 6) + 2 (7)$ .

$\frac{2 \cdot (1 + 2 + 3 + 4 + 5 + 6 + 7) + 16 + 18 + 20}{10}$

Step 2.14

Factor $2$ out of $16$ .

$\frac{2 \cdot (1 + 2 + 3 + 4 + 5 + 6 + 7) + 2 (8) + 18 + 20}{10}$

Step 2.15

Factor $2$ out of $2 \cdot (1 + 2 + 3 + 4 + 5 + 6 + 7) + 2 (8)$ .

$\frac{2 \cdot (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8) + 18 + 20}{10}$

Step 2.16

Factor $2$ out of $18$ .

$\frac{2 \cdot (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8) + 2 (9) + 20}{10}$

Step 2.17

Factor $2$ out of $2 \cdot (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8) + 2 (9)$ .

$\frac{2 \cdot (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9) + 20}{10}$

Step 2.18

Factor $2$ out of $20$ .

$\frac{2 \cdot (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9) + 2 (10)}{10}$

Step 2.19

Factor $2$ out of $2 \cdot (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9) + 2 (10)$ .

$\frac{2 \cdot (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10)}{10}$

Step 2.20

Cancel the common factors.

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Step 2.20.1

Factor $2$ out of $10$ .

$\frac{2 \cdot (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10)}{2 (5)}$

Step 2.20.2

Cancel the common factor.

$\frac{2 \cdot (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10)}{2 \cdot 5}$

Step 2.20.3

Rewrite the expression.

$\frac{1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10}{5}$

Step 3

Simplify the numerator.

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Step 3.1

Add $1$ and $2$ .

$\frac{3 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10}{5}$

Step 3.2

Add $3$ and $3$ .

$\frac{6 + 4 + 5 + 6 + 7 + 8 + 9 + 10}{5}$

Step 3.3

Add $6$ and $4$ .

$\frac{10 + 5 + 6 + 7 + 8 + 9 + 10}{5}$

Step 3.4

Add $10$ and $5$ .

$\frac{15 + 6 + 7 + 8 + 9 + 10}{5}$

Step 3.5

Add $15$ and $6$ .

$\frac{21 + 7 + 8 + 9 + 10}{5}$

Step 3.6

Add $21$ and $7$ .

$\frac{28 + 8 + 9 + 10}{5}$

Step 3.7

Add $28$ and $8$ .

$\frac{36 + 9 + 10}{5}$

Step 3.8

Add $36$ and $9$ .

$\frac{45 + 10}{5}$

Step 3.9

Add $45$ and $10$ .

$\frac{55}{5}$

Step 4

Divide $55$ by $5$ .

$11$