Math Misconception Test

Let's break this down step by step to determine whether 9.11 is greater than 9.9.

Step 1: Understand the numbers

• 9.11 is a decimal number where "9" is the whole number part, and "11" is the fractional part (representing 11 hundredths).
• 9.9 is a decimal number where "9" is the whole number part, and "9" is the fractional part (representing 9 tenths).

Step 2: Compare the whole number parts

• Both numbers have the same whole number part: 9.
• So, we must compare the fractional parts to determine which is larger.

Step 3: Compare the fractional parts

• The fractional part of 9.11 is 0.11 (11 hundredths).
• The fractional part of 9.9 is 0.9 (9 tenths, which is equivalent to 0.90 or 90 hundredths).

Now, compare the fractional parts directly:

• 0.11 (from 9.11) vs. 0.90 (from 9.9).

Clearly, 0.11 < 0.90.

Step 4: Conclusion

Since the whole numbers are equal and the fractional part of 9.11 is less than the fractional part of 9.9, we conclude: 9.11 is not greater than 9.9. In fact, 9.11 < 9.9.

Final answer: No, 9.11 is not greater than 9.9.