Algebra Examples

$12 {(5 + 5)}^{2} - 17 + 3$

Step 1

Simplify each term.

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Step 1.1

Add $5$ and $5$ .

$12 \cdot 10^{2} - 17 + 3$

Step 1.2

Move the decimal point in $12$ to the left by $1$ place and increase the power of $10^{2}$ by $1$ .

$1.2 \cdot 10^{3} - 17 + 3$

Step 2

Add $- 17$ and $3$ .

$1.2 \cdot 10^{3} - 14$

Step 3

Convert $- 14$ to scientific notation.

$1.2 \cdot 10^{3} - 1.4 \cdot 10^{1}$

Step 4

Move the decimal point in $- 1.4$ to the left by $2$ places and increase the power of $10^{1}$ by $2$ .

$1.2 \cdot 10^{3} - 0.014 \cdot 10^{3}$

Step 5

Factor $10^{3}$ out of $1.2 \cdot 10^{3} - 0.014 \cdot 10^{3}$ .

$(1.2 - 0.014) \cdot 10^{3}$

Step 6

Subtract $0.014$ from $1.2$ .

$1.186 \cdot 10^{3}$

Step 7

The result can be shown in multiple forms.

Scientific Notation:

$1.186 \cdot 10^{3}$

Expanded Form:

$1186$