How do you evaluate #4+ ( - 41) - ( - 3)#?

3 Answers
Mar 11, 2018

#-34#

Explanation:

#4+(-41)-(-3)#

#(+*-)=-#

# ( - * - ) = + #

#4-41+3=-37+3=-34#

Mar 11, 2018

-40

Explanation:

We must first evaluate the parentheses by multiplying them by their coefficients. The #+# can be seen as a #1# and the #-# as a #-1#. Our new expression looks like this: #4+1*(-41) - (-1)*(-3)#.
Following the order of operations we solve as such:
#4-41-3#
#-40#

Mar 11, 2018

#4 + (- 41) - (-3) = - 34#

Explanation:

So to add -41 to 4 you take away 41 from 4. This works due to the negative from 41 canceling out the positive on the plus.

#4 + (-41) or -41 + 4 or 4 - 41 = - 37 #

So the sum is now -37 - (-3)
To subtract a negative number you actually add the number. This is because the negatives cancel each other out.
Therefore the sum is -37 + 3
#-37 + 3 or 3 - 37 = -34#