Question

Add without using the number line:

$(-8)+\left(18\right)$

Answer 1

To find the sum of a positive and a negative integer, we take the absolute value of each integer and then subtract the values and put the sign of the number greater in value to the result.

Step-1: Take the absolute values of both the integers:

The absolute value of $-8$ is $8$.

The absolute value of $18$ is $18$.

Step-2: Subtract the absolute values:

$18-8=10$

Step-3: Put the sign of the number greater in value to the result:

$18$ $>$ $8$

$18$ has a positive sign. Hence, we will add a plus sign to the result.

So, the result becomes $+10$ or $10$.

Hence, $(-8)+\left(18\right)=10$.