Question

Insert the appropriate symbol $"<"or">"or"="$in the following blanks:

$(-8)+(-7)\_\_\_\_\_(-8)-\left(7\right)$

Answer 1

Step 1: Let's calculate $(-8)+(-7)$

If the given numbers are of like signs, let's add the absolute values directly and give the common sign for the result.

$(-8)+(-7)=-15$

Step 2: Let's calculate $(-8)-\left(7\right)$

Additive inverse of $7=(-7)$

Adding this value to $-8$,

$\left(-8\right)-\left(7\right)=-8+(-7)=-15$

Since, both the answers are same, we can say that $(-8)+(-7)=(-8)-\left(7\right)$