Finite Math Examples

$a \cdot 1 + a \cdot 2 + a \cdot 3 + a \cdot 4 + a \cdot 5$

Step 1

Simplify each term.

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Step 1.1

Multiply $a$ by $1$ .

$a + a \cdot 2 + a \cdot 3 + a \cdot 4 + a \cdot 5$

Step 1.2

Move $2$ to the left of $a$ .

$a + 2 \cdot a + a \cdot 3 + a \cdot 4 + a \cdot 5$

Step 1.3

Move $3$ to the left of $a$ .

$a + 2 a + 3 \cdot a + a \cdot 4 + a \cdot 5$

Step 1.4

Move $4$ to the left of $a$ .

$a + 2 a + 3 a + 4 \cdot a + a \cdot 5$

Step 1.5

Move $5$ to the left of $a$ .

$a + 2 a + 3 a + 4 a + 5 a$

Step 2

Simplify by adding terms.

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Step 2.1

Add $a$ and $2 a$ .

$3 a + 3 a + 4 a + 5 a$

Step 2.2

Add $3 a$ and $3 a$ .

$6 a + 4 a + 5 a$

Step 2.3

Add $6 a$ and $4 a$ .

$10 a + 5 a$

Step 2.4

Add $10 a$ and $5 a$ .

$15 a$