Question

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

$\left(15\right)-\left(25\right)\_\_\_\_\_(-15)+\left(25\right)$

Answer 1

Step 1: Let's calculate $15-25$

Additive inverse of $25=(-25)$

Adding this value to $15$

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

$15+(-25)=-10$

Step 2: Let's calculate $(-15)+\left(25\right)$

$-15+25=10$

Since, both the answer $-10<10$, we can say that $\left(15\right)-\left(25\right)\mathbf{<}(-15)+\left(25\right)$