Final answer:
The greatest possible decimal number that rounds to 5.32 when rounded to two decimal places is 5.324, where the third decimal place is a 4.
Step-by-step explanation:
The student is asking about the greatest possible decimal number that rounds to 5.32 when rounded to two decimal places. To find this, we need to understand how rounding off a decimal number works. When rounding to two decimal places, the third decimal place determines whether you round up or down.
If the third decimal place is 5 or more, you round up. Therefore, for the greatest decimal that rounds down to 5.32, the third decimal must be a 4, as anything 5 or greater would round up to 5.33. So, the third decimal place would be 4, making the greatest possible number 5.324.