Final answer:
To order the numbers from largest to smallest, compare each digit from left to right. The largest number is 0.98, followed by 0.908, 0.89, and finally, 0.098.
Step-by-step explanation:
To order the numbers 0.098, 0.98, 0.908, and 0.89 from largest to smallest, we should compare each digit from left to right until the largest number is found. We can start by comparing the numbers' tenths place:
- 0.098 has 0 in the tenths place.
- 0.98 has 9 in the tenths place.
- 0.908 has 9 in the tenths place.
- 0.89 has 8 in the tenths place.
Since the number 9 is larger than 0 and 8, both 0.98 and 0.908 are larger than the others. Now, to differentiate between 0.98 and 0.908, we look at the hundredths place:
- 0.98 has 8 in the hundredths place.
- 0.908 has 0 in the hundredths place.
Finally, comparing 0.98 and 0.89, we find that 0.98 is larger since it has 9 in the tenths place compared to 8 in 0.89. Therefore the order from largest to smallest is:
- 0.98
- 0.908
- 0.89
- 0.098