9.3959 rounded to the nearest hundredth
The Correct Answer and Explanation is:
The correct answer is 9.40
To round the number 9.3959 to the nearest hundredth, we need to follow a systematic approach. Rounding involves looking at the digits to the right of the place value we are interested in—in this case, the hundredths place.
- Identify the relevant place values: The number 9.3959 consists of four decimal places. The digit in the tenths place is 3 (first digit after the decimal point), and the digit in the hundredths place is 9 (second digit after the decimal point). The digit in the thousandths place, which we will use for rounding, is 5 (third digit after the decimal point).
- Determine how to round: According to standard rounding rules, if the digit in the place immediately to the right of the place you are rounding to (in this case, the thousandths place) is 5 or greater, you round up the digit in the place you are rounding to. Conversely, if it is 4 or less, you keep the digit the same.
- Apply the rounding rule: Here, the digit in the thousandths place is 5. Since 5 is equal to or greater than 5, we round up the digit in the hundredths place (which is 9) by 1.
- Adjust the number: Rounding up the 9 in the hundredths place results in 10. However, since we can only have one digit in the hundredths place, we need to carry the 1 over to the tenths place. Thus, the 3 in the tenths place will become 4, and the hundredths place will reset to 0.
As a result, when we round 9.3959 to the nearest hundredth, we get 9.40. This process demonstrates how rounding can impact the final value, emphasizing the importance of precision in numerical representation and calculations.
Final Answer: 9.40