Finite Math Examples

$100 (1) + 100 (9) + (M - 999.5) (22)$

Step 1

Simplify each term.

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Step 1.1

Multiply $100$ by $1$ .

$100 + 100 (9) + (M - 999.5) (22)$

Step 1.2

Multiply $100$ by $9$ .

$100 + 900 + (M - 999.5) (22)$

Step 1.3

Apply the distributive property.

$100 + 900 + M \cdot 22 - 999.5 \cdot 22$

Step 1.4

Move $22$ to the left of $M$ .

$100 + 900 + 22 \cdot M - 999.5 \cdot 22$

Step 1.5

Multiply $- 999.5$ by $22$ .

$100 + 900 + 22 M - 21989$

$100 + 900 + 22 M - 21989$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Add $100$ and $900$ .

$1000 + 22 M - 21989$

Step 2.2

Subtract $21989$ from $1000$ .

$22 M - 20989$

$22 M - 20989$

Step 3

Factor $1$ out of $22 M - 20989$ .

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Step 3.1

Factor $1$ out of $22 M$ .

$1 (22 M) - 20989$

Step 3.2

Rewrite $- 20989$ as $1 (- 20989)$ .

$1 (22 M) + 1 (- 20989)$

Step 3.3

Factor $1$ out of $1 (22 M) + 1 (- 20989)$ .

$1 (22 M - 20989)$

$1 (22 M - 20989)$

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