Calculus Examples

$5 \sum_{i = 1}^{8} \frac{1}{10}$

Step 1

The formula for the summation of a constant is:

$\sum_{k = 1}^{n} c = c n$

Step 2

Substitute the values into the formula and make sure to multiply by the front term.

$(5) ((\frac{1}{10}) (8))$

Step 3

Simplify.

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Step 3.1

Cancel the common factor of $2$ .

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Step 3.1.1

Factor $2$ out of $10$ .

$5 (\frac{1}{2 (5)} \cdot 8)$

Step 3.1.2

Factor $2$ out of $8$ .

$5 (\frac{1}{2 \cdot 5} \cdot (2 \cdot 4))$

Step 3.1.3

Cancel the common factor.

$5 (\frac{1}{2 \cdot 5} \cdot (2 \cdot 4))$

Step 3.1.4

Rewrite the expression.

$5 (\frac{1}{5} \cdot 4)$

Step 3.2

Combine $\frac{1}{5}$ and $4$ .

$5 (\frac{4}{5})$

Step 3.3

Cancel the common factor of $5$ .

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Step 3.3.1

Cancel the common factor.

$5 (\frac{4}{5})$

Step 3.3.2

Rewrite the expression.

$4$