Finite Math Examples

$799.5 - 899.5$ , $899.5 - 999.5$ , $999.5 - 1099.5$ , $1099.5 - 1199.5$ , $1199.5 - 1299.5$ , $3$ , $8$ , $21$ , $10$ , $8$

Step 1

Subtract $899.5$ from $799.5$ .

$- 100, 899.5 - 999.5, 999.5 - 1099.5, 1099.5 - 1199.5, 1199.5 - 1299.5, 3, 8, 21, 10, 8$

Step 2

Subtract $999.5$ from $899.5$ .

$- 100, - 100, 999.5 - 1099.5, 1099.5 - 1199.5, 1199.5 - 1299.5, 3, 8, 21, 10, 8$

Step 3

Subtract $1099.5$ from $999.5$ .

$- 100, - 100, - 100, 1099.5 - 1199.5, 1199.5 - 1299.5, 3, 8, 21, 10, 8$

Step 4

Subtract $1199.5$ from $1099.5$ .

$- 100, - 100, - 100, - 100, 1199.5 - 1299.5, 3, 8, 21, 10, 8$

Step 5

Subtract $1299.5$ from $1199.5$ .

$- 100, - 100, - 100, - 100, - 100, 3, 8, 21, 10, 8$

Step 6

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

$\frac{- 100 - 100 - 100 - 100 - 100 + 3 + 8 + 21 + 10 + 8}{10}$

Step 7

Cancel the common factor of $- 100 - 100 - 100 - 100 - 100 + 3 + 8 + 21 + 10 + 8$ and $10$ .

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Step 7.1

Rewrite $- 100$ as $1 (- 100)$ .

$\frac{1 (- 100) - 100 - 100 - 100 - 100 + 3 + 8 + 21 + 10 + 8}{10}$

Step 7.2

Rewrite $- 100$ as $1 (- 100)$ .

$\frac{1 \cdot - 100 + 1 \cdot - 100 - 100 - 100 - 100 + 3 + 8 + 21 + 10 + 8}{10}$

Step 7.3

Factor $1$ out of $1 \cdot - 100 + 1 \cdot - 100$ .

$\frac{1 \cdot (- 100 - 100) - 100 - 100 - 100 + 3 + 8 + 21 + 10 + 8}{10}$

Step 7.4

Rewrite $- 100$ as $1 (- 100)$ .

$\frac{1 \cdot (- 100 - 100) + 1 (- 100) - 100 - 100 + 3 + 8 + 21 + 10 + 8}{10}$

Step 7.5

Factor $1$ out of $1 \cdot (- 100 - 100) + 1 (- 100)$ .

$\frac{1 \cdot (- 100 - 100 - 100) - 100 - 100 + 3 + 8 + 21 + 10 + 8}{10}$

Step 7.6

Rewrite $- 100$ as $1 (- 100)$ .

$\frac{1 \cdot (- 100 - 100 - 100) + 1 (- 100) - 100 + 3 + 8 + 21 + 10 + 8}{10}$

Step 7.7

Factor $1$ out of $1 \cdot (- 100 - 100 - 100) + 1 (- 100)$ .

$\frac{1 \cdot (- 100 - 100 - 100 - 100) - 100 + 3 + 8 + 21 + 10 + 8}{10}$

Step 7.8

Rewrite $- 100$ as $1 (- 100)$ .

$\frac{1 \cdot (- 100 - 100 - 100 - 100) + 1 (- 100) + 3 + 8 + 21 + 10 + 8}{10}$

Step 7.9

Factor $1$ out of $1 \cdot (- 100 - 100 - 100 - 100) + 1 (- 100)$ .

$\frac{1 \cdot (- 100 - 100 - 100 - 100 - 100) + 3 + 8 + 21 + 10 + 8}{10}$

Step 7.10

Rewrite $3$ as $1 (3)$ .

$\frac{1 \cdot (- 100 - 100 - 100 - 100 - 100) + 1 (3) + 8 + 21 + 10 + 8}{10}$

Step 7.11

Factor $1$ out of $1 \cdot (- 100 - 100 - 100 - 100 - 100) + 1 (3)$ .

$\frac{1 \cdot (- 100 - 100 - 100 - 100 - 100 + 3) + 8 + 21 + 10 + 8}{10}$

Step 7.12

Rewrite $8$ as $1 (8)$ .

$\frac{1 \cdot (- 100 - 100 - 100 - 100 - 100 + 3) + 1 (8) + 21 + 10 + 8}{10}$

Step 7.13

Factor $1$ out of $1 \cdot (- 100 - 100 - 100 - 100 - 100 + 3) + 1 (8)$ .

$\frac{1 \cdot (- 100 - 100 - 100 - 100 - 100 + 3 + 8) + 21 + 10 + 8}{10}$

Step 7.14

Rewrite $21$ as $1 (21)$ .

$\frac{1 \cdot (- 100 - 100 - 100 - 100 - 100 + 3 + 8) + 1 (21) + 10 + 8}{10}$

Step 7.15

Factor $1$ out of $1 \cdot (- 100 - 100 - 100 - 100 - 100 + 3 + 8) + 1 (21)$ .

$\frac{1 \cdot (- 100 - 100 - 100 - 100 - 100 + 3 + 8 + 21) + 10 + 8}{10}$

Step 7.16

Rewrite $10$ as $1 (10)$ .

$\frac{1 \cdot (- 100 - 100 - 100 - 100 - 100 + 3 + 8 + 21) + 1 (10) + 8}{10}$

Step 7.17

Factor $1$ out of $1 \cdot (- 100 - 100 - 100 - 100 - 100 + 3 + 8 + 21) + 1 (10)$ .

$\frac{1 \cdot (- 100 - 100 - 100 - 100 - 100 + 3 + 8 + 21 + 10) + 8}{10}$

Step 7.18

Rewrite $8$ as $1 (8)$ .

$\frac{1 \cdot (- 100 - 100 - 100 - 100 - 100 + 3 + 8 + 21 + 10) + 1 (8)}{10}$

Step 7.19

Factor $1$ out of $1 \cdot (- 100 - 100 - 100 - 100 - 100 + 3 + 8 + 21 + 10) + 1 (8)$ .

$\frac{1 \cdot (- 100 - 100 - 100 - 100 - 100 + 3 + 8 + 21 + 10 + 8)}{10}$

Step 7.20

Cancel the common factors.

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Step 7.20.1

Rewrite $10$ as $1 (10)$ .

$\frac{1 \cdot (- 100 - 100 - 100 - 100 - 100 + 3 + 8 + 21 + 10 + 8)}{1 (10)}$

Step 7.20.2

Cancel the common factor.

$\frac{1 \cdot (- 100 - 100 - 100 - 100 - 100 + 3 + 8 + 21 + 10 + 8)}{1 \cdot 10}$

Step 7.20.3

Rewrite the expression.

$\frac{- 100 - 100 - 100 - 100 - 100 + 3 + 8 + 21 + 10 + 8}{10}$

$\frac{- 100 - 100 - 100 - 100 - 100 + 3 + 8 + 21 + 10 + 8}{10}$

$\frac{- 100 - 100 - 100 - 100 - 100 + 3 + 8 + 21 + 10 + 8}{10}$

Step 8

Simplify the numerator.

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Step 8.1

Subtract $100$ from $- 100$ .

$\frac{- 200 - 100 - 100 - 100 + 3 + 8 + 21 + 10 + 8}{10}$

Step 8.2

Subtract $100$ from $- 200$ .

$\frac{- 300 - 100 - 100 + 3 + 8 + 21 + 10 + 8}{10}$

Step 8.3

Subtract $100$ from $- 300$ .

$\frac{- 400 - 100 + 3 + 8 + 21 + 10 + 8}{10}$

Step 8.4

Subtract $100$ from $- 400$ .

$\frac{- 500 + 3 + 8 + 21 + 10 + 8}{10}$

Step 8.5

Add $- 500$ and $3$ .

$\frac{- 497 + 8 + 21 + 10 + 8}{10}$

Step 8.6

Add $- 497$ and $8$ .

$\frac{- 489 + 21 + 10 + 8}{10}$

Step 8.7

Add $- 489$ and $21$ .

$\frac{- 468 + 10 + 8}{10}$

Step 8.8

Add $- 468$ and $10$ .

$\frac{- 458 + 8}{10}$

Step 8.9

Add $- 458$ and $8$ .

$\frac{- 450}{10}$

$\frac{- 450}{10}$

Step 9

Divide $- 450$ by $10$ .

$- 45$

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