Final answer:
The greatest possible difference of two decimals to the hundredths place that are between zero and one is 0.98, calculated by subtracting the smallest possible decimal (0.01) from the largest possible decimal (0.99).
Step-by-step explanation:
The greatest possible difference of two decimals to the hundredths place that are between zero and one is found by considering the smallest and largest decimal values to the hundredths that can exist between these two integers. The smallest decimal to the hundredths place between zero and one is 0.01, and the largest is 0.99. By taking these two values, we can calculate the difference.
To find the greatest difference, you subtract the smallest decimal value from the largest decimal value:
- 0.99 (largest decimal to the hundredths place)
- - 0.01 (smallest decimal to the hundredths place)
- _________
- = 0.98 (greatest possible difference)
Therefore, the greatest possible difference to the hundredths place between two decimals from zero to one is 0.98.