Question

Simplify:
$\left( -430 \right)+\left( -30 \right)+\left( -85 \right)+\left( -15 \right)$

Answer 1

Hint: To simplify the above expression, we are going to use the property which says that when we multiply a positive sign with a negative sign then the result of the multiplication is a negative sign. After using this property, we just have to simply add them by taking the negative sign as common among these numbers.

Complete step by step answer:
The expression is given in the above problem which we have to simplify as follows:
$\left( -430 \right)+\left( -30 \right)+\left( -85 \right)+\left( -15 \right)$
We know from the basic algebra that if we multiply positive sign with a negative sign then we get the negative sign so we are going to use this property in the above expression because you can see that a positive and a negative sign is in multiplication format.
$-430-30-85-15$
Taking negative sign as common from the above expression and we get,
$-\left( 430+30+85+15 \right)$
Adding the first two numbers we get,
$\begin{align}
  & 430 \\
 & +30 \\
 & \overline{460} \\
\end{align}$
We have got the result of the addition of the first two numbers as 460 so substituting the result of this addition in the above expression and we get,
$=-\left( 460+85+15 \right)$
Now, adding the last two terms (85 and 15) and we get,
$\begin{align}
  & 085 \\
 & +15 \\
 & \overline{100} \\
\end{align}$
From the above, as you can see that we have got the result of the addition of the last two terms as 100 so substituting this added value in the above expression and we get,
$=-\left( 460+100 \right)$
Finally, we are going to add the above two terms (460 and 100) and we get,
$\begin{align}
  & 0460 \\
 & +100 \\
 & \overline{0560} \\
\end{align}$
Substituting the above result in the above expression and we get,
$=-560$
From the above solution, we have got the result of simplification as -560.

Note: To solve the above problem, you must know that if we multiply a positive and a negative sign then what sign we will get. Additional information which will be helpful for you in other problems is that if we multiply two negative signs then we get positive signs in the final answer. Also, if we multiply two positive signs then we get a positive sign in the final answer.