How do you evaluate #30\div ( - 6) + ( - 28) \div 7#?

1 Answer
Sep 3, 2017

#30 div (-6)+(-28)div7#
#=-9#

Explanation:

In a calculation involving different operations, count the number of TERMS first.

Each term will simplify to a single value and these are added or subtracted in the last step.

Within each term, the order is

  • brackets
  • powers and roots
  • multiply and divide

#color(blue)(30 div (-6))color(magenta)(+(-28)div7)" "larr# there are 2 terms
#color(white)(xxx)darrcolor(white)(xxxxxxxx)darr#
#=color(blue)(-5)color(white)(xxxx)color(magenta)(+" "(-4)#

#= -5-4#

#=-9#