Question

0.577 repeating 0.578 .60 0.2 0.666 repeating 2.236 Greatest to least

Answer 1

To compare the numbers \(0.577\) (repeating), \(0.578\), \(0.6\), \(0.2\), \(0.666\) (repeating), and \(2.236\), we need to convert them to decimal form where necessary.

1. **Convert repeating decimals:**
- \(0.577\) (repeating) is \(0.577577...\).
- \(0.666\) (repeating) is \(0.666666...\), which is equal to \(\frac{2}{3}\) or approximately \(0.6667\).

2. **List the approximate values:**
- \(0.577\) (repeating) is approximately \(0.577\).
- \(0.578\) is \(0.578\).
- \(0.6\) is \(0.6\).
- \(0.2\) is \(0.2\).
- \(0.666\) (repeating) is approximately \(0.6667\).
- \(2.236\) is \(2.236\).

3. **Organizing values from greatest to least:**
- \(2.236\)
- \(0.666\) (repeating) which is approximately \(0.6667\)
- \(0.6\)
- \(0.578\)
- \(0.577\) (repeating)
- \(0.2\)

So, the order from greatest to least is:
**\(2.236, 0.666\) (repeating), \(0.6, 0.578, 0.577\) (repeating), \(0.2\)**.