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

2 Answers

#29#

Explanation:

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#

Aug 9, 2018

#9#

Explanation:

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#