# How do you simplify 17– 6 xx 10 ÷ 2 + 12?

May 17, 2018

$\textcolor{p u r p \le}{\implies - 1}$

#### Explanation:

$17 - 6 \times \frac{10}{2} + 12$

Using PEMDAS rule,

$\implies 17 - \frac{60}{2} + 12$, multiplying

$\implies 17 - 30 + 12$, dividing

$\implies 17 + 12 - 30$, rearranging terms

$\implies 29 - 30$, adding

color(purple)(=> -1, subtracting

May 17, 2018

$- 1$

#### Explanation:

Identify the number of terms first. Each term will simplify to a single answer which can be added or subtracted in the last step.

$\textcolor{b l u e}{17} \text{ " color(red)(- 6xx10div2) color(green)(" " +12)" } \leftarrow$ there are 3 terms

Within each term the order of operations is:

• Brackets
• powers and roots
• multiplication and division (any order)

=color(blue)(17)" " color(red)(- (cancel6^3xx10)/cancel2) color(green)(" " +12)

=color(blue)(17)" " color(red)(-30) color(green)(" " +12)

You will make fewer mistakes if you write the additions at the beginning and subtractions at the end.

$= \textcolor{b l u e}{17} \text{ " color(green)( +12)" } \textcolor{red}{- 30}$

$= 29 \text{ } \textcolor{red}{- 30}$

$= - 1$