Question

What is the value of $(-23)+\left(14\right)+(-17)?$

• A. $26$
• B. $-26$
• C. $8$
• D. None of the above

Answer 1

The correct option is B $-26$

$\bullet$ First we solve $-23+\left(14\right)$.
As both the integers have different signs, we will follow the below steps.

Step 1: Write the absolute values of both integers.
$|-23|=23\&|14|=14$.

Step 2: We subtract the absolute values.
$23-14=9$

Step 3: Put the original sign of the larger number to the difference. $-23+\left(14\right)=-9$

Given question is $(-23+14)+(-17)=?$

We just calculated $(-23+14)=-9$. So, replacing $(-23)+\left(14\right)$ with $-9,$ we get
$(-23+14)+(-17)=-9+(-17)$

$\bullet$ Now, we need to add two integers $-9$ and $-17$. Since both the integers are of same sign, we can follow the below steps.

Step 1: Write the absolute values of both integers
$|-9|=9\&|-17|=17$

Step 2: Add the absolute values
$9+17=26$

Step 3: Put the original sign of the integers to the sum
$(-9)+(-17)=-26$

Hence, the value of $-23+\left(14\right)+(-17)$ is $-26$.

$\therefore$ (b.) is the correct option.