Find the sum \[\left(37\right)+\left(-2\right)+\left(65\right)+\left(-8\right)\].

Hint: We can solve the given terms by applying the properties of integers. Either, we can add up all the positive terms first at first and then subtract the negative terms from the positive terms or else, we can add up the negative terms first and then solving the positive terms can give us the required solution.

Complete step by step solution:
Let us have a brief regarding the integers. Integers are the number system that include the positive numbers, the negative numbers and the neutral number that is zero. In case of positive numbers, as we move away from zero the value of the number increases but in the case of the negative numbers, as we move away from zero the value of the negative numbers keeps getting smaller and smaller.
Now let us compute the given terms.
\[\left( 37 \right)+\left( -2 \right)+\left( 65 \right)+\left( -8 \right)\]
We are given with two positive numbers and two negative numbers.
Firstly, let us add up the positive numbers. We get,
\[37+65=102\]
Now let us add the negative terms. We get,
\[\left( -8 \right)+\left( -2 \right)=\left( -10 \right)\]
Now let us subtract the sum of negative numbers from the sum of positive numbers.
Upon doing this, we get
\[102+\left( -10 \right)=92\]
\[\therefore \] \[\left( 37 \right)+\left( -2 \right)+\left( 65 \right)+\left( -8 \right)\] \[=92\].

Note: We must have a note upon the signs of the answer depending upon the value of the numbers. While adding if the positive number is greater than negative number then the answer would be positive. If the negative number is greater than the positive number, then the solution would be negative.