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

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Answer 1 · 2018-07-01T01:55:30

#29#

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

#color(red)(P)# - Parentheses (also known as Brackets)
#color(blue)(E)# - Exponents
#color(green)(M)# - Multiplication
#color(green)(D)# - Division (this has the same weight as M and so I gave it the same colour)
#color(brown)(A)# - Addition
#color(brown)(S)# - Subtraction - (again, same weight as A and so the same colour)

Here we have:

#7color(brown)+9color(green)(xx)3color(brown)-5#

The multiplication goes first:

#7+27-5#

and now we work this from left to right:

#34-5#

#29#

Answer 2 · 2018-08-09T19:54:35

#9#

Identify the number of terms first.

Terms are separated by #+ and -# signs.

Simplify each term first.

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

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

#=" "34" "-" "25#

#= 9#