Question

Tamara is thinking of a number in the hundredth place. Her number is greater than 0.8 but less than 0.9. The greatest digit in the number is in the hundredth place. What is Tamara thinking of? Explain how you know.

A) 0.83; It's the only number fitting the criteria.
B) 0.84; It falls between 0.8 and 0.9.
C) 0.85; It's closer to 0.9.
D) 0.89; It's the highest number between 0.8 and 0.9.

Answer 1

The number Tamara is thinking of is 0.89, as it is the highest number between 0.8 and 0.9 with the largest possible digit in the hundredth place.

Step-by-step explanation:

The student is working with decimal numbers and understanding place value and rounding. Looking at the options given, Tamara is thinking of a number in the hundredth place that is greater than 0.8 but less than 0.9. The greatest possible digit that can be in the hundredth place within these constraints is 8, which leaves us looking for a number where the hundredth digit is maxed out. The number must also be greater than or equal to 0.81, 0.82, 0.83, ... and less than 0.89. The best fit for Tamara's number is therefore 0.89 because it meets all the criteria: it is greater than 0.8, less than 0.9, and has the largest digit in the hundredth place. Hence, option D) 0.89 is the correct answer, recognizing that it is the highest number between 0.8 and 0.9 and fulfills the requirement that the greatest digit is in the hundredth place.