Question

put these numbers in order from least to greatest.
2.11
2.05
\frac{23}{10}
1.52

Explanation:

Step1: Convert fraction to decimal

First, convert \(\frac{23}{10}\) to a decimal. We know that dividing 23 by 10 gives \(23\div10 = 2.3\).

Step2: Compare decimals

Now we have the numbers: \(1.52\), \(2.05\), \(2.11\), and \(2.3\) (which is \(\frac{23}{10}\)).
Comparing the whole number parts first: \(1.52\) has a whole number part of 1, while \(2.05\), \(2.11\), and \(2.3\) have a whole number part of 2. So \(1.52\) is the smallest.
Next, among \(2.05\), \(2.11\), and \(2.3\), compare the tenths place:

• \(2.05\) has 0 in the tenths place.
• \(2.11\) has 1 in the tenths place.
• \(2.3\) (or \(2.30\)) has 3 in the tenths place.

So in order from least to greatest for the numbers with whole number part 2: \(2.05<2.11<2.3\).
Putting it all together, the order from least to greatest is \(1.52\), \(2.05\), \(2.11\), \(\frac{23}{10}\).

Answer:

\(1.52\), \(2.05\), \(2.11\), \(\frac{23}{10}\)