Comparing Absolute Values: |-1/3| and |3| - Are They Opposite Numbers?

To solve this problem, we'll follow these steps:

• Step 1: Compute the absolute value of each given number.
• Step 2: Determine if the numbers are opposites based on their absolute values.

Now, let's proceed step-by-step:

Step 1: Calculate the absolute values.
The absolute value of a number gives its distance from zero on the number line, disregarding its sign.

$\left|-\frac{1}{3}\right|$
The negative sign is removed by the absolute value, so:
$\left|-\frac{1}{3}\right| = \frac{1}{3}$ $\left|\frac{3}{1}\right|$
The absolute value remains the same as there is no negative sign:
$\left|\frac{3}{1}\right| = 3$

Step 2: Determine if the numbers are opposites.

Two numbers are considered opposites if their sum equals zero. In this case, we compare the results:

The absolute values we found were $\frac{1}{3}$ and $3$. These numbers do not meet the condition for being opposites since their sum $\frac{1}{3} + 3 = \frac{10}{3}$ is not equal to zero.

Therefore, the numbers are not opposites.

Therefore, the correct answer is No.