Answer:
The greatest amount is $105.44
The least amount of money that rounds to $105.40 is $105.35
Step-by-step explanation:
Consider the provided number information
Here, we need to round off to the nearest dime.
The rule of rounding a number is:
If 0, 1, 2, 3, or 4 follow the number, then no need to change the rounding digit.
If 5, 6, 7, 8, or 9 follow the number, then rounding digit rounds up by one number.
Now, consider the amount $105.40
We want the greatest amount of money that's rounds to $105.40
For greatest amount the amount should be greater than 105.40. We don't want to increase the number at the Tenths place so the greatest possible choice for Hundredths place is 4.
Hence, the greatest amount is $105.44 because $105.44 rounded to $105.4
We want to increase the number at the Tenths place by 1 so the least possible choice for hundredths place is 5.
Hence, the least amount of money that rounds to 105.40 is 105.35
