Evaluate :
`19-|-13|`

Answer

To evaluate the expression \( 19 - |-13| \), we will follow these steps:

### Step 1: Understand the absolute value
The absolute value of a number is its distance from zero on the number line, regardless of direction. For any number \( x \):
- If \( x \) is positive, \( |x| = x \)
- If \( x \) is negative, \( |x| = -x \)
- If \( x = 0 \), \( |0| = 0 \)

### Step 2: Calculate the absolute value of \(-13\)
Since \(-13\) is a negative number, we use the definition of absolute value:
\[ |-13| = -(-13) = 13 \]

### Step 3: Substitute the absolute value back into the expression
Now we can replace \(|-13|\) in the original expression:
\[ 19 - |-13| = 19 - 13 \]

### Step 4: Perform the subtraction
Now, we subtract:
\[ 19 - 13 = 6 \]

### Final Answer
The final result of the expression \( 19 - |-13| \) is:
\[ \boxed{6} \]

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