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

Occasionally referred to by the acronym PEMDAS (or a similar term), the sequence of operations is as follows:

Here it is:

First, there is the multiplication:

and now, working from the left to the right:

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Identify the number of terms first.

Simplify each term first.

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

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

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To simplify (7 + 9 \times 3 - 25) using the order of operations, follow these steps:

- Perform multiplication: (9 \times 3 = 27).
- Perform addition and subtraction from left to right: (7 + 27 - 25).
- Perform addition: (7 + 27 = 34).
- Perform subtraction: (34 - 25 = 9).

Therefore, (7 + 9 \times 3 - 25 = 9).

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