Math Misconception Test

No, 9.11 is not greater than 9.9. Here's the reasoning:

1. Align Decimal Places: Write both numbers with the same number of decimal places for clarity:

   • ( 9.11 ) vs. ( 9.90 ).

2. Compare Digit-by-Digit:

   • Whole number part: Both have ( 9 ) (equal).
   • Tenths place: ( 1 ) (in 9.11) vs. ( 9 ) (in 9.90). Since ( 1 < 9 ), ( 9.11 < 9.90 ).

3. Alternative Verification:

   • Subtraction: ( 9.90 - 9.11 = 0.79 ) (positive result confirms ( 9.90 > 9.11 )).
   • Fraction Conversion:
     ( 9.11 = 9 + \frac{11}{100} = 9.11 ),
     ( 9.9 = 9 + \frac{9}{10} = 9.90 ).
     Clearly, ( \frac{9}{10} (=0.9) > \frac{11}{100} (=0.11) ).

Final Answer:
\boxed{No}
( 9.11 ) is less than ( 9.9 ).