No, 9.11 is not greater than 9.9.

Explanation:

• Both numbers have the same whole number part (9), so we compare the decimal parts: 0.11 and 0.9.
• 0.9 can be written as 0.90 (since 9 tenths is equivalent to 90 hundredths).
• Comparing the hundredths place: 11 hundredths (0.11) is less than 90 hundredths (0.90).
• Therefore, 9.11 is less than 9.9.

Comparison:

• 9.11 = 9 + 0.11 = 9 + 11/100
• 9.9 = 9 + 0.9 = 9 + 90/100
• Since 11/100 < 90/100, it follows that 9.11 < 9.9.

Thus, 9.11 is smaller than 9.9.