Problem 105 - College Algebra Essentials

Question

In Exercises \(103-110,\) insert either \(<,>,\) or \(=\) in the shaded area to make a true statement. $$\left|\frac{3}{5}\right| \quad|-0.6|$$

Step-by-Step Solution

Answer

The correct operator to use between \(|3/5|\) and \(|-0.6|\) is \(=\). Thus, \(|3/5|\) equals \(|-0.6|\).

Step 1: Compute the absolute values

First, it is needed to calculate the absolute values of given numbers. The absolute value of a number is always positive, so \(|3/5|\) equals \(3/5\) and \(|-0.6|\) equals \(0.6\).

Step 2: Simplify fractions

The fraction \(3/5\) can be converted to a decimal for easier comparison. Dividing 3 by 5 results in \(0.6\).

Step 3: Compare the values

After converting the fraction to a decimal, both values are \(0.6\). Since they are equal, the correct operator to use is \(=\).