Question

How do you find the difference between $28-\left( -37 \right)$?

Answer 1

Hint: The expression given in the question, which is $28-\left( -37 \right)$, states that we need to find the difference between the numbers $28$ and $-37$. So we have to subtract the number $-37$ from the number $28$. For this, we need to use the BODMAS rule which tells us the order of the application of the algebraic operations to be applied on the given expression for evaluating it. According to the BODMAS rule, M, which stands for multiplication comes before A and S, which respectively stand for addition and subtraction. So in the expression $28-\left( -37 \right)$ we first have to multiply $-1$ with the number $-37$ and then carry out the addition to get the final answer.

Complete step-by-step solution:
The difference to be solved is given in the question as $28-\left( -37 \right)$. Let us write this expression in the below equation as
$\Rightarrow E=28-\left( -37 \right)$
The above expression can also be written as
\[\Rightarrow E=28+\left( -1\left( -37 \right) \right)\]
Now, according to the BODMAS rule, we first need to carry out the multiplication present in the above expression before performing the addition. So we multiply $-1$ with the number $-37$ to get
\[\begin{align}
  & \Rightarrow E=28+\left( -1\times \left( -37 \right) \right) \\
 & \Rightarrow E=28+37 \\
 & \Rightarrow E=65 \\
\end{align}\]
Hence, the required value of the difference $28-\left( -37 \right)$ is equal to $65$.

Note: Instead of understanding the above problem with the concept of multiplication, we can also remember a simple trick. This trick is used whenever two signs come together in an expression. It states that whenever a positive sign comes next to the negative sign, and vice versa, then the resultant sign is negative. But when two negative or two positive signs come together, then the resultant sign is positive. In other words, when different signs are adjacent to each other, then the resultant sign is negative, but when similar signs are adjacent to each other, then the resultant sign is positive.