Evaluate the following , using the number line :
`7+(-3)`

Answer

To evaluate the expression \(7 + (-3)\) using a number line, follow these steps:

### Step 1: Draw the Number Line
Start by drawing a horizontal line and marking points on it. Label the points with integers, ensuring you include at least the numbers 0 through 10 for clarity.

### Step 2: Locate the Starting Point
Identify the starting point on the number line, which is \(7\). Mark this point clearly.

### Step 3: Understand the Operation
The expression \(7 + (-3)\) means you will start at \(7\) and move left because you are adding a negative number. The negative sign indicates a movement in the opposite direction.

### Step 4: Move Left
Since you are adding \(-3\), you will move \(3\) steps to the left from \(7\):
- Move from \(7\) to \(6\) (1 step)
- Move from \(6\) to \(5\) (2 steps)
- Move from \(5\) to \(4\) (3 steps)

### Step 5: Identify the Final Position
After moving \(3\) steps to the left from \(7\), you land on \(4\). Therefore, the result of \(7 + (-3)\) is \(4\).

### Final Answer
Thus, \(7 + (-3) = 4\).

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