Question

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

Answer 1

Hint: The given expression consists of a number of the mathematical operators such as multiply, addition and subtraction, so here we will apply the DMAS rule. According to DMAS rule, first Division, multiplication, addition and subtraction are applied.

Complete step by step solution:
Take the given expression: $ 35 + ( - 13) + ( + 8) - ( - 6) $
First of all open the brackets in the above expression, also remember the product of plus minus is minus, plus and plus is plus and minus with minus gives plus
 $ = 35 - 13 + 8 + 6 $
According to DMAS rule, first apply Division, multiplication, addition and subtraction. So, here will apply addition first and then subtraction –
 $ = 35 - 13 + \underline {8 + 6} $
Simplify the above expression –
 $ = 35 - \underline {13 + 14} $
Now perform addition in the above expression –
 $ = 35 + 1 $
Simplify the above expression –
 $ = 36 $
Therefore, the required solution is –
 $ 35 + ( - 13) + ( + 8) - ( - 6) = 36 $
So, the correct answer is “36”.

Note: Be careful while simplification of these types of sums, always follow the same pattern DMAS. Remember and be careful about the sign convention.
Be careful about the sign while doing simplification and remember the golden rules-
I.Addition of two positive terms gives the positive term.
II.Addition of one negative and positive term, you have to do subtraction and give sign of bigger numbers, whether positive or negative.
III.Addition of two negative numbers gives a negative number but in actual you have to add both the numbers and give a negative sign to the resultant answer.
IV.Product of two positive terms gives resultant value in positive.
V.Product of two negative terms gives resultant value in positive.
VI.Product of one positive and one negative term gives value in negative.