UpStudy Free Solution:

When rounding to the nearest tenth, the number 43.6 remains 43.6.

This is because the digit in the hundredths place (which is 0 in this case) does not affect the rounding of the tenths place. Therefore, 43.6 rounded to the nearest tenth is 43.6.

Supplemental Knowledge

Rounding numbers is a fundamental arithmetic skill that simplifies numbers to make them easier to work with. Here’s a deeper look into the concept:

1. Definition of Rounding:

- Rounding is the process of adjusting the digits of a number to make it simpler or more convenient, often to a specified place value.

2. Rules for Rounding:

- Identify the place value you are rounding to (e.g., nearest tenth, hundredth).

- Look at the digit immediately to the right of this place value.

- If this digit is 5 or greater, increase the rounding digit by one.

- If this digit is less than 5, leave the rounding digit unchanged.

- Replace all digits to the right of the rounding place with zeros if they are after a decimal point or simply drop them if they are after an integer.

3. Examples:

- Rounding 43.67 to the nearest tenth:

- The tenths place is 6 and the hundredths place is 7 (which is greater than 5), so we round up.

- Result: 43.7

- Rounding 43.62 to the nearest tenth:

- The tenths place is 6 and the hundredths place is 2 (which is less than 5), so we do not round up.

- Result: 43.6

4. Special Cases:

- When there are no digits beyond the specified decimal place, as in your example (43.6), no changes occur since there’s nothing influencing it.

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