Which of the following number line represents -3 - 4 ?

Options

A.
B.
C.
D.

Answer

To solve the question "Which of the following number line represents -3 - 4?", we will follow these steps:

### Step 1: Understand the Expression
The expression -3 - 4 can be simplified. We need to perform the operation of subtraction.

### Step 2: Simplify the Expression
-3 - 4 is the same as -3 + (-4). This means we are starting at -3 and moving 4 units to the left on the number line.

### Step 3: Locate -3 on the Number Line
On a number line, we identify where -3 is located. The number line has positive numbers on the right and negative numbers on the left.

### Step 4: Move Left from -3
From -3, we need to move 4 units to the left:
- Moving left from -3:
- 1 unit left takes us to -4
- 2 units left takes us to -5
- 3 units left takes us to -6
- 4 units left takes us to -7

### Step 5: Conclusion
After moving 4 units to the left from -3, we end up at -7. Therefore, -3 - 4 = -7.

### Step 6: Identify the Correct Number Line Representation
Now, we need to look at the given number line options and find which one shows the movement from -3 to -7. The correct representation will show a movement of 4 units to the left from -3, landing at -7.