Simplify and show it on the numbers line:: -5+4-3-2+7

Explanation

To simplify the expression -5 + 4 - 3 - 2 + 7 and show it on a number line, follow these steps:

### Step-by-Step Solution:

1. **Write down the expression**:
\[ -5 + 4 - 3 - 2 + 7 \]

2. **Combine the negative numbers**:
First, we will add the negative numbers together:
\[ -5 - 3 - 2 = -10 \]

3. **Combine the positive numbers**:
Next, we will add the positive numbers:
\[ 4 + 7 = 11 \]

4. **Combine the results from step 2 and step 3**:
Now, we will combine the results from the negative and positive sums:
\[ -10 + 11 = 1 \]

5. **Final Result**:
The simplified result of the expression is:
\[ 1 \]

### Showing on the Number Line:

1. **Draw a number line**:
- Mark points from -7 to 7 on the number line.

2. **Start at -5**:
- Place a point at -5.

3. **Move 4 units to the right (add 4)**:
- From -5, move 4 units to the right:
\[ -5 + 4 = -1 \]
- Place a point at -1.

4. **Move 3 units to the left (subtract 3)**:
- From -1, move 3 units to the left:
\[ -1 - 3 = -4 \]
- Place a point at -4.

5. **Move 2 units to the left (subtract 2)**:
- From -4, move 2 units to the left:
\[ -4 - 2 = -6 \]
- Place a point at -6.

6. **Move 7 units to the right (add 7)**:
- From -6, move 7 units to the right:
\[ -6 + 7 = 1 \]
- Place a point at 1.

7. **Final position**:
- The final position on the number line is at 1.

### Summary:
The simplified expression is \(1\), and it is represented on the number line by starting at -5, moving through the points -1, -4, -6, and finally reaching 1.