Question

Find the sum of 153 and -302.

Answer 1

Hint:
> Integers can be positive or negative.
> Operations on integers are done using set rules. The four main arithmetic operations on numbers undertaken are – Addition, Subtraction, Multiplication and Division.

Complete step by step solution:
Integers are whole numbers. They are of two types – Positive integers which are greater than zero and negative integers which are less than zero.
Zero is neither a positive nor a negative integer.
In the sum of $153$ and $-302$, $153$ is a positive integer as it is greater than zero while$-302$ is a negative integer as it is less than zero.
Sum of $153$ and $-302$ is calculated as:
$\begin{align}
  & 153+(-302) \\
 & =153-302 \\
 & =-149 \\
\end{align}$
As per rules under arithmetic operations of integers, if sum of two integers is to be calculated with one integer being a positive integer and another integer being a negative integer, the smaller integer has to be subtracted from the greater integer.
The sign of the final answer is to be the same as the sign of greater integer. In above sum, $153$ has been subtracted from $302$. As $302$ is greater than $153$ and its sign is negative, the sign of the final answer that is $149$ is also negative.
Therefore, the sum of $153$ and $-302$ is $-149$.

Note:
> If both integers are positive, the final answer of addition is calculated by summing them and the sign of final answer is positive.
> If one integer is negative while another is positive, addition of integers is done by subtracting smaller integers from greater integers and the sign of final answer is similar to the sign of the greatest of two integers.
> If both integers are negative, the final answer of addition is calculated by summing the integers and the sign of final answer is negative.