Mark the following expressions as True or False.
`|-3|=3`

Answer

To determine whether the expression \(|-3| = 3\) is true or false, we can follow these steps:

### Step 1: Understand the Absolute Value
The absolute value of a number is defined as its distance from zero on the number line, regardless of direction. This means that for any real number \(x\):
\[ |x| = \begin{cases} x & \text{if } x \geq 0 \\ -x & \text{if } x < 0 \end{cases} \]

### Step 2: Apply the Definition to \(-3\)
Since \(-3\) is less than \(0\), we use the second case of the definition:
\[ |-3| = -(-3) \]

### Step 3: Simplify the Expression
Now, simplifying the expression:
\[ |-3| = 3 \]

### Step 4: Compare with the Given Expression
Now we compare this result with the expression given in the question:
\[ |-3| = 3 \]

### Conclusion
Since both sides of the equation are equal, we conclude that the statement \(|-3| = 3\) is **True**.

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