How do you simplify #35 + (-13) + (+8) - (-6)#?

2 Answers
Aviv S.
Mar 10, 2018

The result is #36#.

Explanation:

Simplify the expression by rewriting the #+# and #-# signs.

Adding a negative number (like #x+(-y)#) is just the same as subtracting (like #x-y#).

Adding a positive number (like #x+(+y)#) is just the same as adding (like #x+y#).

Subtracting a negative number (like #x-(-y)#) is just the same as adding (like #x+y#)

Now here's the actual problem (I colored the part that is being changed in each step so that it's easier to follow):

# =color(blue)(35+(-13))+(+8)-(-6) #

# =color(blue)(35-13)+(+8)-(-6) #

# =color(blue)22+(+8)-(-6) #

# =color(red)(22+(+8))-(-6) #

# =color(red)(22+8)-(-6) #

# =color(red)(30)-(-6) #

# =color(green)(30-(-6)) #

# =color(green)(30+6) #

# =color(green)36 #

Sikander E Azam
Mar 10, 2018

It will be 35-13+8+6 = 36

Explanation:

Use these rules to simplyfy

  • #+*+ = +#
  • #-*- = +#
  • #+*- =- #
  • #-*+ = -#

For example
35 + ( − 13 ) + ( + 8 ) − ( − 6 )

we know that # + * - = - # so it means it will be -13 for the first one

we know that # + * + = + # so it means it will be +8 for the second one

and lastly we know that #-*+ = -# so it means +6 for the last one.

The numbers might seem confusing but just pay focus to the + and - signs when you know which equation requires which rule than you can simply write it down and continue on with the question

Hope it helps
please don't hesitate to let me know if you want more clarification

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