Question

Solve the following $\left( { - 30} \right) - \left( { + 8} \right) = $
\[
  A.{\text{ }} + 38 \\
  B.{\text{ }} - 38 \\
  C.{\text{ }} - 22 \\
  D.{\text{ None of these}} \\
 \]

Answer 1

Hint: In order to solve the problem use the property of multiplication and also the BODMAS rule. The product of two negative numbers is positive and the product of a negative and positive number is negative.

Complete step-by-step answer:
Given term: $\left( { - 30} \right) - \left( { + 8} \right) = $
As we know that whenever we multiply a positive number with negative it becomes a negative number. Due to the presence of – sign before the bracket it will be multiplied with the term in brackets.
$
   = \left( { - 30} \right) - \left( { + 8} \right) \\
    = - 30 - 8 \\
 $
Now we get the final result by simple calculation
$
   = - 30 - 8 \\
   = - 38 \\
 $
Hence the result of the term is $\left( { - 30} \right) - \left( { + 8} \right) = - 38$
So, option B is the correct option.

Note: In solving such types of problems the major source of mistake is the sign. So for not making serious mistakes students must remember the above rule and BODMAS rule. Also students must take intense care of signs in particular.