How do you evaluate #65+ 60\cdot 6\div 3- ( 13- 39)#?

1 Answer
Oct 7, 2017

#211#

Explanation:

In expressions which involve different operations, always count the number of TERMS first. They are separated by #+ and -# signs.

Each term simplifies to a single answer and these are added or subtracted in the final step.

Within each term, the order is:

  • brackets
  • powers and roots
  • multiply and divide

#" "color(blue)(65)" "color(red)(+60xx6div3)" "color(green)(-(13-39))larr# there are #3# terms
#color(white)(xxxxxxxxx)darrcolor(white)(xxxxxxxx)darr#
#=color(blue)(65)" "color(red)(+360div3)" "color(green)(-(-26))#
#color(white)(xxxxxxxxx)darrcolor(white)(xxxxxx)darr#
#=color(blue)(65)" "color(red)(" "+120)" "color(green)(+" "26)#

#= 185 +26#

#=211#