It rounded to the nearest dime what is the greatest amount of money that rounds to $105.40

$105.44.

Step-by-step explanation:

We are asked to find the the greatest amount of money that rounds to $105.40, rounded  to the nearest dime.

We know that when the next digit to rounded digit is 0, 1, 2, 3, 4; then we keep the same digit.

When the next digit to rounded digit is 5 or more than 5; then we round up our answer by one digit.

We know that 1 dime equals $0.10.

Since our answer in rounded to nearest dime, so the hundredths digit will be less than 5.

Therefore, the greatest amount of money would be $105.44.

table 3 represents a direct variation function. : )

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