Question

Add without using the number line:

$\left(11\right)+(-7)$

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 $11$ is $11$.

The absolute value of $-7$ is $7$.

Step 2: Subtract the absolute values

$11-7=4$

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

$11$ $>$ $7$

$11$ has a positive sign preceding it in the question. Hence, we will add a $\text{'}+\text{'}$ sign to the result.

So, the result becomes $4$.

Hence, $\left(11\right)+(-7)=4$.