Problem 81 - Introductory Algebra for College Students

Question

Insert either \(<,>,\) or \(=\) in the shaded area to make a true statement. $$\left|\frac{3}{5}\right|\square|-0.6|$$

Step-by-Step Solution

Answer

The correct sign to make this a true statement is '='.

Step 1: Determine the Absolute Values

First, calculate the absolute values of both the numbers. The absolute value of a number is the numerical value without considering its positive or negative sign. The absolute value of \(\frac{3}{5}\) is \(\frac{3}{5}\) and the absolute value of \(-0.6\) is \(0.6\).

Step 2: Compare the Absolute Values

Then compare the absolute values. \(\frac{3}{5}\) is equivalent to \(0.6\), so the comparison sign that should fill in the shaded square is '='.