What is #3(36-:9)+2(80-60)-3*4#?

2 Answers
Sep 16, 2016

Answer:

#3(36-:9)+2(80-60)-3*4="color(blue)(40)#

Explanation:

This question is designed to apply the order of operations, given as PEMDAS.

http://www.algebra-class.com/order-of-operations.html

Simplify #3(36-:9)+2(80-60)-3*4#

Simplify #-3*4# to #-12#.

#3(36-:9)+2(80-60)-12#

Simplify the terms inside each pair of parentheses.

#3(4)+2(20)-12#

Multiply the term inside each pair of parentheses by the term outside.

#12+40-12#

Simplify.

#40#

Sep 16, 2016

Answer:

#40#

Explanation:

The most important starting point in a calculation involving different operations is to COUNT the number of terms first.

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

It is possible to work in separate terms in the same line of working and in this way more than one operation can be done in a line,

Within each term ,
#rarr# brackets are done first,
#rarr# then powers and roots, and
#rarr# lastly multiplication and division.

ONLY then does addition and subtraction happen, from left to right.

#color(blue)(3(36div9))color(red)(+2(80-60))color(olive)(-3xx4)" "larr# has 3 terms

=#color(blue)(3(4))color(red)(+2(20))color(olive)(-12)#

=#color(blue)(12)color(red)(+40)color(olive)(-12)" "larr#+12-12 are additive inverses.

=#40#