Find the distance between the points : -23 and 14. Use absolute value concept.

Answer

To find the distance between the points -23 and 14 using the absolute value concept, follow these steps:

### Step 1: Identify the points
We have two points:
- Point A = -23
- Point B = 14

### Step 2: Use the distance formula
The distance \( d \) between two points \( x \) and \( y \) is given by the formula:
\[ d = |x - y| \]

### Step 3: Substitute the values into the formula
Substituting the values of the points into the formula:
\[ d = |-23 - 14| \]

### Step 4: Perform the subtraction inside the absolute value
Now, calculate the expression inside the absolute value:
\[ -23 - 14 = -37 \]

### Step 5: Apply the absolute value
Now, take the absolute value of -37:
\[ | -37 | = 37 \]

### Step 6: State the final answer
Thus, the distance between the points -23 and 14 is:
\[ \text{Distance} = 37 \]

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