To arrange a set of rational numbers from least to greatest, we first need to understand what rational numbers are. Rational numbers are any numbers that can be expressed as the quotient of two integers, where the denominator is not zero. Common examples include fractions and whole numbers.
Let’s consider a few rational numbers: -3, 1/2, 0, 2, -1. To arrange them from least to greatest, we can first convert all the numbers into decimals or place them on a number line:
- -3 is -3.0
- -1 is -1.0
- 0 is 0.0
- 1/2 is 0.5
- 2 is 2.0
Now, when we compare the decimals:
- -3.0
- -1.0
- 0.0
- 0.5
- 2.0
We can clearly see the order from least to greatest:
- -3
- -1
- 0
- 1/2
- 2
Thus, the set of rational numbers arranged from least to greatest is: -3, -1, 0, 1/2, 2.