Round 3,295.351 to the nearest tenth
The Correct Answer and Explanation is :
To round the number 3,295.351 to the nearest tenth, we focus on the digit in the tenths place and the digit that follows it, which helps us determine whether to round up or down.
- Identify the Relevant Places:
- The tenths place is the first digit to the right of the decimal point. In 3,295.351, the tenths digit is 3 (from 0.3).
- The digit to the right of the tenths place (the hundredths place) is 5.
- Rounding Rules:
- If the digit in the hundredths place is 5 or greater, we round the tenths digit up by one.
- If it is less than 5, we keep the tenths digit the same.
- Applying the Rounding Rules:
- Since the hundredths digit is 5, we round up. Therefore, we add 1 to the tenths digit, changing 3 to 4.
- Constructing the Rounded Number:
- After rounding, we keep all the digits to the left of the decimal point unchanged. The number becomes 3,295.4.
- Final Result:
- Thus, 3,295.351 rounded to the nearest tenth is 3,295.4.
Importance of Rounding
Rounding is a crucial mathematical skill used in various fields such as finance, science, and everyday calculations. It simplifies numbers, making them easier to work with, while still providing a close approximation to the original value. For instance, in budgeting, rounding expenses to the nearest tenth can help in quick calculations and maintaining a clearer view of financial resources. In scientific contexts, precise measurements may require rounding to ensure values remain manageable and meaningful. Additionally, understanding rounding principles aids in data analysis, where large datasets often need simplification for clearer presentations. Overall, rounding facilitates better communication and comprehension of numerical information in diverse applications.