Math Misconception Test

To determine whether 9.11 is greater than 9.9, let's break this down step by step.

Step 1: Understand the numbers

• 9.11 is a decimal number where:

  • The whole number part is 9.
  • The decimal part is .11, which means 11/100 or 11 hundredths.

• 9.9 is also a decimal number where:

  • The whole number part is 9.
  • The decimal part is .9, which means 9/10 or 9 tenths.

Step 2: Align the decimal places

To compare the two numbers fairly, we can rewrite them with the same number of decimal places:

• 9.11 remains 9.11.
• 9.9 can be written as 9.90 (since adding a zero at the end does not change its value).

Now we have:

• 9.11 vs. 9.90.

Step 3: Compare digit by digit

1. Whole number part: Both have 9, so we move to the decimal part.
2. First decimal place (tenths place):
   • 9.11 has 1 in the tenths place.
   • 9.90 has 9 in the tenths place.
   • Since 1 < 9, 9.11 is less than 9.90 at this stage.

Step 4: Conclusion

Because 9.11 has a smaller value in the tenths place compared to 9.90, 9.11 is not greater than 9.9.

Final answer: No