Final answer:
The correct order from least to greatest for the given decimals is 0.09, 0.899, 0.9, 0.98, with 0.09 being the least and 0.98 the greatest.
Step-by-step explanation:
To place the following decimals in order from least to greatest, we need to compare them digit by digit, starting from the digit in the tenths place, following through to the hundredths place, and so forth until we can differentiate the size of the numbers:
Now let's organize them from the smallest to the largest:
- 0.09 - This has the smallest value in the tenths place.
- 0.899 - It's greater than 0.09 but less than 0.9 because we essentially compare 899 to 900 if all were preserved to the thousandths place.
- 0.9 - It's greater than 0.899 because 0.9 is equivalent to 0.900.
- 0.98 - This has the highest value in the tenths place.
Therefore, the correct order from least to greatest is: 0.09, 0.899, 0.9, 0.98.