Evaluate the following :
|−54| − |−24|

Answer

To evaluate the expression |−54| − |−24|, we will follow these steps:

### Step 1: Understand the Modulus Function
The modulus (or absolute value) of a number is its distance from zero on the number line, regardless of direction. Therefore, the modulus of any negative number will be its positive counterpart.

### Step 2: Evaluate |−54|
We need to find the modulus of -54.
\[ |−54| = 54 \]
This is because the modulus function converts -54 to its positive form.

### Step 3: Evaluate |−24|
Next, we find the modulus of -24.
\[ |−24| = 24 \]
Similarly, the modulus function converts -24 to its positive form.

### Step 4: Substitute the Values into the Expression
Now that we have evaluated both moduli, we can substitute these values back into the original expression:
\[ |−54| − |−24| = 54 − 24 \]

### Step 5: Perform the Subtraction
Now, we perform the subtraction:
\[ 54 − 24 = 30 \]

### Final Answer
Thus, the value of |−54| − |−24| is:
\[ \boxed{30} \]

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