Find 36 - (-64) and (-64) - 36. Are they equal?

Options

A. `Yes`
B. `No`
C. `"May be"`
D. `"Not sure"`

Answer

To solve the question, we need to find the values of \( 36 - (-64) \) and \( -64 - 36 \) step by step.

### Step 1: Calculate \( 36 - (-64) \)

1. **Understand the operation**: When you subtract a negative number, it is the same as adding the positive version of that number.
\[ 36 - (-64) = 36 + 64 \]

2. **Perform the addition**:
\[ 36 + 64 = 100 \]

### Step 2: Calculate \( -64 - 36 \)

1. **Understand the operation**: Here, we are subtracting a positive number from a negative number.
\[ -64 - 36 \]

2. **Perform the subtraction**: Since both numbers are negative, we can think of it as adding their absolute values and keeping the negative sign.
\[ -64 - 36 = - (64 + 36) = -100 \]

### Step 3: Compare the results

- From Step 1, we found \( 36 - (-64) = 100 \).
- From Step 2, we found \( -64 - 36 = -100 \).

### Conclusion

The two results are:
- \( 36 - (-64) = 100 \)
- \( -64 - 36 = -100 \)

Since \( 100 \) is not equal to \( -100 \), we conclude that:
\[ \text{No, they are not equal.} \]

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