Question

1. write the following numbers in order from least to greatest.

1.23; 1.2; 2.31; 3.2

Explanation:

Step1: Compare the whole number parts

The whole number parts of \(1.23\), \(1.2\), \(2.31\), \(3.2\) are \(1\), \(1\), \(2\), \(3\) respectively. Since \(1<2<3\), we know \(3.2\) is the largest among them, and \(2.31\) is larger than \(1.23\) and \(1.2\).

Step2: Compare the decimal parts for numbers with the same whole number part

For \(1.23\) and \(1.2\), we can rewrite \(1.2\) as \(1.20\) (adding a zero at the end of the decimal part doesn't change the value). Now comparing the decimal parts \(0.20\) and \(0.23\), we have \(0.20 < 0.23\), so \(1.2<1.23\).

Step3: Order the numbers

Combining the results from Step1 and Step2, we get the order from least to greatest: \(1.2\), \(1.23\), \(2.31\), \(3.2\).

Answer:

\(1.2\), \(1.23\), \(2.31\), \(3.2\)