Question

Add without using number line:

$(-323)+\left(123\right)$

Answer 1

$(-323)+\left(123\right)$

To add integers with different signs, subtract their absolute values and the sum obtained is negative if the negative integer's absolute value is greater.

Absolute value of $-323$$=$$\left|-323\right|$$=$$323$

Absolute value of $123$$=$$\left|123\right|$$=$$123$.

$\left|-323\right|$$>$$\left|123\right|$

Therefore, the required sum $=-(\left|-323\right|-\left|123\right|)$

$=-(323-123)$

$=-200$.

Final Answer: $(-323)+\left(123\right)$$=-200$.