Question

The absolute value of \[ - 28 + 12 + 42 - 63\] is
1) 37
2) \[ - 36\]
3) 145
4) \[ - 145\]

Answer 1

Hint: We will start the solution by applying the operations given and find the value. The next objective is to find the absolute value. Since we know that the absolute value is the modulus of the value which always gives us the positive value. Thus, the absolute value can never be negative.

Complete step-by-step answer:
First, consider the expression given in the problem,
\[V = - 28 + 12 + 42 - 63\]
Now, solve the expression by doing the addition and subtraction to evaluate the value of the expression,
Thus, we get,
\[
   \Rightarrow V = \left( { - 28 + 12} \right) + \left( {42 - 63} \right) \\
   \Rightarrow V = - 16 + \left( { - 21} \right) \\
   \Rightarrow V = - 16 - 21 \\
   \Rightarrow V = - 37 \\
\]
Hence, we get the value as \[V = - 37\].
Next, to find the absolute value we have to take the modulus of the value.
Thus, we get,
\[
   \Rightarrow V = | - 37| \\
   \Rightarrow V = 37 \\
\]
Hence, the absolute value of the expression is 37.
Thus, option A is correct.

Note: The absolute value of a positive term is positive and the absolute value of a negative term gives us a positive value by applying the modulus on the negative value. We can form the pairs in the given expression and simplify as it makes the calculations easy. Also, when a positive value is added with negative value gives us the value with the sign which has greater value.