Answer :

Sure! Let’s find the difference step-by-step.

When we see the expression [tex]\(-156 - (-45)\)[/tex], we need to understand that subtracting a negative number is the same as adding the positive equivalent. Here’s the breakdown:

1. We start with [tex]\(-156\)[/tex].
2. We are supposed to subtract [tex]\(-45\)[/tex] from [tex]\(-156\)[/tex].
3. Subtracting a negative number is the same as adding the positive equivalent of that number. Therefore, [tex]\(- (-45)\)[/tex] becomes [tex]\(+45\)[/tex].

So the expression [tex]\(-156 - (-45)\)[/tex] can be rewritten as:
[tex]\[ -156 + 45 \][/tex]

Now we simply add these two numbers:
- Start from [tex]\(-156\)[/tex].
- Move 45 units to the right (because adding positive 45 makes the number larger).

Let’s do the math:
- [tex]\( -156 + 45 = -111 \)[/tex]

So, the difference is:
[tex]\[ -111 \][/tex]

Thus, the final answer is [tex]\(-111\)[/tex].