UpStudy Free Solution:

When rounding to the nearest tenth, you look at the digit in the hundredths place to determine whether to round up or down. If the hundredths digit is 5 or greater, you round up. If it's less than 5, you round down.

Let's examine each number:

1. 43.65: The hundredths place is 5, so you round up, making it 43.7.

2. 43.55: The hundredths place is 5, so you round up, making it 43.6.

3. 43.657: The hundredths place is 5, so you round up, making it 43.7.

4. 43.549: The hundredths place is 4, so you round down, making it 43.5.

Therefore, the number that rounds to 43.6 is:

43.55.

Supplemental Knowledge

Rounding numbers is a key arithmetic skill that helps simplify numbers for easier computation and understanding. Here’s a more detailed look into the rounding process:

1. Rounding to the Nearest Tenth:

- When rounding to the nearest tenth, you focus on the digit in the tenths place and the digit in the hundredths place.

- The rules are straightforward:

- If the digit in the hundredths place is 5 or greater, you round up.

- If it is less than 5, you round down.

2. Examples of Rounding:

- Consider these examples for clarity:

- 43.64: The hundredths place is 4 (less than 5), so you round down, resulting in 43.6.

- 43.66: The hundredths place is 6 (greater than or equal to 5), so you round up, resulting in 43.7.

3. Special Cases with Multiple Digits Beyond Hundredths Place:

- Even if there are more digits beyond the hundredths place, only the first two digits after the decimal point matter for rounding to the nearest tenth.

- For example, with 43.657, only consider up to two decimal places (hundredths). Since it’s a 5 at hundredths, it rounds up to 43.7.

4. Clarification on Specific Examples Provided:

- For your examples:

- 43.65 rounds to 43.7 because of the hundredths digit being exactly 5.

- 43.55 also rounds to 43.6 because of rounding rules where exactly half rounds up.

- 43.657, despite having more digits, still rounds based on its first two decimal places making it round up to 43.7.

- 43.549, with a hundredth digit of 4, rounds down to make it precisely 43.5.

Knowing how to round numbers accurately is crucial in any mathematical computation - at UpStudy we specialize in breaking complex ideas down into easy lessons across subjects including Mathematics, Chemistry, Physics and Biology! Our AI-powered Homework Help app delivers instantaneous answers with tailored step-by-step solutions tailored just for you ensuring no question goes unanswered! Plus our elite tutors are online 24/7 providing customized guidance. Join millions worldwide who trust UpStudy as their solution for academic success where learning becomes both simple and enjoyable!