If negative sign precedes a bracket, then sign of the terms inside the bracket will _______ when the bracket is removed.

Options

A. Not change
B. Change
C. Not change, but the number becomes twice
D. None of these

Answer

To solve the problem, we need to understand how the negative sign affects the terms inside a bracket when the bracket is removed. Let's break it down step by step.

### Step 1: Understanding the Negative Sign
When a negative sign is placed before a bracket, it indicates that we will be changing the signs of the terms inside the bracket when we remove it.

**Hint:** Remember that a negative sign means to take the opposite of the value.

### Step 2: Example with a Positive Term
Consider the expression:
- \(- ( + a)\)

When we remove the bracket, we multiply the negative sign with the positive term \(a\):
- \(- ( + a) = -a\)

**Hint:** A negative times a positive results in a negative.

### Step 3: Example with a Negative Term
Now, consider the expression:
- \(- ( - b)\)

When we remove the bracket, we multiply the negative sign with the negative term \(b\):
- \(- ( - b) = +b\)

**Hint:** A negative times a negative results in a positive.

### Step 4: Conclusion
From the examples above, we can conclude that:
- If there is a positive term inside the bracket, it becomes negative when the bracket is removed.
- If there is a negative term inside the bracket, it becomes positive when the bracket is removed.

Thus, the sign of the terms inside the bracket will **change** when the bracket is removed.

**Final Answer:** The sign of the terms inside the bracket will change when the bracket is removed.