Find `34 - (-72 ) " and " (-72) - 34` . Are they equal ?

Answer

To solve the problem, we need to evaluate the two expressions separately: \(34 - (-72)\) and \((-72) - 34\).

### Step 1: Solve \(34 - (-72)\)
1. Start with the expression \(34 - (-72)\).
2. According to the rules of integers, subtracting a negative number is the same as adding its positive counterpart. Therefore, we can rewrite the expression as:
\[ 34 + 72 \]
3. Now, perform the addition:
\[ 34 + 72 = 106 \]

### Step 2: Solve \((-72) - 34\)
1. Now, let's evaluate the second expression \((-72) - 34\).
2. This expression can be simplified by directly performing the subtraction:
\[ -72 - 34 \]
3. When subtracting a positive number from a negative number, we add their absolute values and keep the negative sign:
\[ - (72 + 34) = -106 \]

### Conclusion
Now we have the results of both expressions:
- \(34 - (-72) = 106\)
- \((-72) - 34 = -106\)

Since \(106\) is not equal to \(-106\), we can conclude that:
\[ \text{No, they are not equal.} \]