Question

The value of $(-23)+\left(14\right)+(-17)$ is

• A. $-26$
• B. $26$
• C. $8$

Answer 1

The correct option is A $-26$

First we solve $-23+\left(14\right)$
As both integers have different signs, we will take following steps to solve:
Step 1: Write the absolute values of both integers
$|-23|=23\&|14|=14$.

Step 2: Subtract both 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)
Replace -23 + 14 with - 9 , as solved above
(-23 + 14 ) + (-17) = -9 + (-17)

Then add the two integers 9 and 17.
Since both integers are of same sign,

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

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

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

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