simplify the following expressions 35 + (-13) + (+8)-(-6)
(35) + (-13) + (8) - (-6)
= 35 -13 +8 + 6
= 49 - 13
= 36
First answer: 36
To simplify the expression 35 + (-13) + (+8) - (-6), follow these steps:
Step 1: Simplify the parentheses with integers
-13 is already simplified, +8 is positive and -6 is negative. The negative sign in front of -6 means that we need to change its sign to positive. Therefore, -(-6) becomes +6.
The expression now becomes: 35 + (-13) + (+8) + 6
Step 2: Combine the integers with the same sign
The integers 35, -13, +8, and +6 have different signs. Since +8 and +6 are positive, we can combine them by adding. 8 + 6 = 14.
The expression now becomes: 35 + (-13) + 14
Step 3: Continue to simplify
Next, add 35 and -13: 35 + (-13) = 22.
The expression becomes: 22 + 14
Step 4: Add the remaining integers
Finally, add 22 and 14: 22 + 14 = 36.
Therefore, the simplified expression is 36.