Question

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

$11+(-6)......(-11)-(-6)$

Answer 1

Step 1: Let's calculate $11+(-6)$

If the given numbers are of unlike signs, let's subtract the absolute values directly and give the sign of the largest absolute valued integer to the result.

$11+(-6)=5$

Step 2: Let's calculate $(-11)-(-6)$

Additive inverse of $-6=6$

Adding this value to $-11$,

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

$\begin{array}{rcl}(-11)-(-6)& =& -11+\left(6\right)\\ & =& -5\end{array}$

Since, the answer $5>-5$, we can say that $11+(-6)\mathbf{>}(-11)-(-6)$