# How do you simplify 7+9times3-25  using order of operations?

$29$

#### Explanation:

The order of operations, sometimes known by the acronym PEMDAS (or some variant of it) is:

• $\textcolor{red}{P}$ - Parentheses (also known as Brackets)
• $\textcolor{b l u e}{E}$ - Exponents
• $\textcolor{g r e e n}{M}$ - Multiplication
• $\textcolor{g r e e n}{D}$ - Division (this has the same weight as M and so I gave it the same colour)
• $\textcolor{b r o w n}{A}$ - Addition
• $\textcolor{b r o w n}{S}$ - Subtraction - (again, same weight as A and so the same colour)

Here we have:

$7 \textcolor{b r o w n}{+} 9 \textcolor{g r e e n}{\times} 3 \textcolor{b r o w n}{-} 5$

The multiplication goes first:

$7 + 27 - 5$

and now we work this from left to right:

$34 - 5$

$29$

Aug 9, 2018

$9$

#### Explanation:

Identify the number of terms first.

Terms are separated by $+ \mathmr{and} -$ signs.

Simplify each term first.

color(blue)(7" ") color(green)(+" "9xx3" ") color(magenta)(-" "25)

=color(blue)(7" ") color(green)(+" "27" ") color(magenta)(-" "25)

$= \text{ "34" "-" } 25$

$= 9$