The Correct Answer and Explanation is:
The correct answer is 9.1.
Rounding is a fundamental mathematical skill used to estimate and simplify numbers, making them easier to work with. The process involves adjusting a number to a specific place value, such as the nearest ten, whole number, or, in this case, the nearest tenth. To round a number, you must look at the digit immediately to the right of the target place value.
In the problem “Round 9.05 to the nearest tenth,” our starting number is 9.05. The first step is to identify the digit in the tenths place. In any decimal number, the tenths place is the first position to the right of the decimal point. For the number 9.05, the digit in the tenths place is 0. This is the digit that we will either keep the same or increase.
The next step is to look at the digit directly to its right, which is in the hundredths place. For 9.05, the digit in the hundredths place is 5. This digit is our “deciding” digit. The standard rule for rounding is as follows: if the deciding digit is 5 or greater (5, 6, 7, 8, or 9), you round up the target digit. If the deciding digit is 4 or less (4, 3, 2, 1, or 0), you keep the target digit as it is.
In our example, the deciding digit is 5. According to the rule, this means we must round up the digit in the tenths place. The tenths digit is 0, and rounding it up means increasing it by one, which gives us 1. All digits to the right of the rounded place are then removed.
Therefore, when we round 9.05 to the nearest tenth, the 0 in the tenths place becomes a 1, and the 5 in the hundredths place is dropped. The final, rounded number is 9.1.
