Rounded to the nearest dime what is the greatest amount of money that rounds to 105.40 what is the least amount of money that rounds to 105.40 explain

The greatest amount is 105.44.

The least amount is 105.35

Step-by-step explanation:

Consider the provided amount of money $105.40

Rule of rounding a number.

If the number on the right side of rounding digit is 0, 1, 2, 3, 4 then no need to change the rounding digit and change the rest of the digit right to rounding digit with 0.

If the number on the right side of rounding digit is 5, 6, 7, 8, 9 then rounding digit rounds up by one number  and change the rest of the digit right to rounding digit with 0.

We want the greatest amount 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 tenths place is 4.

To make the largest number put 4 at Hundredths places.

So, the greatest amount is 105.44.

Now, consider the number 105.40

We want the least amount so the number at the tenths place should be 3.

We want to increase the number at the tenths place by 1 so the least possible choice for tens place is 5.

Thus, the least amount is 105.35

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step-by-step explanation: