How do you simplify #-10/5times2+8times(6-4)-3times4# using PEMDAS?

Question

Benjamin Altschul · Accepted Answer

#-10/5xx2+8xx(6-4)-3xx4=0#

PEMDAS stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction. Hence we solve in this order - first parentheses, then exponents, then multiplication and division and finally addition and subtraction.

Hence #-10/5xx2+8xx(6-4)-3xx4#

= #-10/5xx2+8xx2-3xx4#

= #-20/5+16-12#

= #-4+16-12#

= #0#

Roman Alvarez · Answer

#=0#

When working with calculations involving different operations, the first thing to do is to to count the number of terms. Terms are separated by + and - signs.

There must be a final answer fro each term before we can add or subtract them from left to right.

#color(magenta)(-10/5 xx 2) color(blue)(+8 xx (6-4)) color(orange)(-3xx4)# has three terms.

In each term do the strongest operations first (brackets first and , powers before multiply or divide)

#color(magenta)(-2 xx 2) color(blue)(+8 xx (2)) color(orange)(-12)#

#color(magenta)(-4) color(blue)(+16) color(orange)(-12)#

Now work from left to right, or re-arrange the terms making sure that the signs stay with the correct term.

=#color(blue)(+16) color(magenta)(-4) color(orange)(-12)#

=#0#

Jeremiah Andrews · Answer

undefined This content may violate OpenAI's content policy, please try another.