Question

How do you find the sum $8 + ( - 6) + 2?$

Answer 1

Hint: Here we will use the basic rule of first opening the bracket and then simplifying the expression using first addition first and then subtraction.

Complete step-by-step solution:
Take the given expression:
$8 + ( - 6) + 2$
First of all open the bracket. Remember when there is a positive sign outside the bracket then the sign of the term inside the bracket remains the same, since plus minus is minus.
$ = 8 - 6 + 2$
Bring the two positive terms together and simplify the above expression.
$ = 8 + 2 - 6$
Do a simplification of the first two terms. Addition of two positive terms always gives the resultant value in positive sign.
$ = 10 - 6$
Since, greater number is having a positive sign, the resultant value will be positive. Perform subtraction in the above expression.
$ = 4$
Hence, $8 + ( - 6) + 2 = 4$
This is the required solution.

Note: Be very careful while simplification of the terms. When you open the brackets and there is a negative sign outside the bracket then the sign of the terms inside the bracket will be changed. Positive terms will become negative and negative terms become positive. Also, remember when there is a positive sign outside the bracket then the sign of the terms inside the bracket do not change.