Final answer:
Options A (1.01) and B (0.97 = 0.9 + 0.07) are the decimals greater than 0.81, while options C and D are not.
Step-by-step explanation:
To find which decimals are greater than 0.81, we must compare each option with 0.81.
- Option A: 1.01 is greater than 0.81 since 1 is greater than 0.
- Option B: 0.9 + 0.07 equals 0.97, which is also greater than 0.81.
- Option C: 0.7 + 0.09 equals 0.79, which is not greater than 0.81.
- Option D: (5 * 0.1) + (8 * 0.01) equals 0.5 + 0.08, which equals 0.58, and this is not greater than 0.81 either.
Therefore, the decimals greater than 0.81 from the options provided are A (1.01) and B (0.97).