Final answer:
To order the numbers from least to greatest, we convert fractions to decimals for comparison, list negatives in ascending order, and then positives. The sorted list is -4.2, -2, -4/5 (-0.8), -1, 3.5.
Step-by-step explanation:
To list the given numbers in order from least to greatest, we need to arrange them with the smallest (most negative) value first, up to the largest (most positive) value. Here is the systematic process:
- Determine the value of the fractions and decimals to compare them more easily with the integers. For instance, -4/5 is -0.8.
- List the numbers with negative values in ascending order (more negative to less negative). Then list any positive values in ascending order.
- Combine the two lists, ensuring all negative values come before any positive values.
Arranging the numbers provided, we get:
-4.2, -1, -4/5 (-0.8), -2, 3.5
In the correct sequence from least to greatest, the numbers are:
-4.2, -2, -4/5 (-0.8), -1, 3.5