Pre-Algebra Examples

$1$ , $2$ , $3$ , $4$ , $5$ , $6$ , $7$ , $8$ , $9$ , $10$

Step 1

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

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

Step 2

Simplify the numerator.

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Step 2.1

Add $1$ and $2$ .

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

Step 2.2

Add $3$ and $3$ .

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

Step 2.3

Add $6$ and $4$ .

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

Step 2.4

Add $10$ and $5$ .

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

Step 2.5

Add $15$ and $6$ .

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

Step 2.6

Add $21$ and $7$ .

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

Step 2.7

Add $28$ and $8$ .

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

Step 2.8

Add $36$ and $9$ .

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

Step 2.9

Add $45$ and $10$ .

$\frac{55}{10}$

Step 3

Cancel the common factor of $55$ and $10$ .

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Step 3.1

Factor $5$ out of $55$ .

$\frac{5 (11)}{10}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $5$ out of $10$ .

$\frac{5 \cdot 11}{5 \cdot 2}$

Step 3.2.2

Cancel the common factor.

$\frac{5 \cdot 11}{5 \cdot 2}$

Step 3.2.3

Rewrite the expression.

$\frac{11}{2}$

Step 4

Divide.

$5.5$