Q69. - Algebra 1

Question

Evaluate the expression $-9-\left(-14\right)$.

Step-by-Step Solution

Answer

The value of the expression $-9-\left(-14\right)$ is 5.

Step-1. Given information.

The given expression is $-9-\left(-14\right)$.

Step-2. Rewrite the expression.

$-9-\left(-14\right)$  can also be written as $-9+\left(\left(-1\right)\times \left(-14\right)\right)$.

Now, multiply $-1$ to $-14$, the obtained result will be 14.

So, $-9+\left(\left(-1\right)\times \left(-14\right)\right)=-9+\left(14\right)$.

Number lines representation will be

Step-3. The final sum.

Now, find the sum of $-9+\left(14\right)$. This is nothing but 14 decreased by 9.

So,

$\begin{array}{c}-9+\left(14\right)=-9+14\\ =14-9\\ =5\end{array}$

Hence, $-9+\left(14\right)=5$.