What is 7481 rounded to 1 significant figure?
The Correct Answer and Explanation is:
To round the number 7481 to one significant figure, we first need to identify the most significant digit in the number. The most significant digit is the first non-zero digit when reading the number from left to right. In 7481, the first digit is 7, which is the most significant figure.
Steps for Rounding to One Significant Figure:
- Identify the Significant Figure: The first digit of 7481 is 7. This is the digit we will keep when rounding to one significant figure.
- Look at the Next Digit: The next digit after 7 is 4. In rounding, we check the digit immediately after the significant figure to determine whether to round up or stay the same. If this digit is 5 or higher, we round up the significant figure. If it is 4 or lower, we keep the significant figure as it is.
- Apply the Rounding Rule: Since 4 (the digit after 7) is less than 5, we will not round 7 up. Therefore, the most significant figure remains 7.
- Determine the Final Rounded Number: When rounding to one significant figure, we represent all other digits as zeros, considering the place value. In this case, 7481 rounded to one significant figure is 7000.
Final Answer:
Thus, 7481 rounded to one significant figure is 7000.
Importance of Rounding:
Rounding is an essential mathematical process used in various fields, including science, engineering, and finance, to simplify numbers while retaining their significance. It helps in presenting data clearly, especially when precision is not critical, or when working with limited numerical capacity, such as in calculations or estimations. By rounding to one significant figure, we can convey the order of magnitude of a value without being burdened by its more granular details.