What is 43.6925 rounded To The nearest Thousandths I need help with This question please
The Correct Answer and Explanation is :
To round the number 43.6925 to the nearest thousandths, we need to follow these steps:
- Identify the digit in the thousandths place:
In the number 43.6925, the digit in the thousandths place is 2. The thousandths place is the third digit to the right of the decimal point. So, we can break down the number as follows:
- 4 (whole number)
- 3 (tenths place)
- 6 (hundredths place)
- 9 (thousandths place)
- 2 (ten-thousandths place)
- Look at the digit to the right of the thousandths place:
The digit to the right of the thousandths place (ten-thousandths) is 5. - Apply the rounding rule:
The general rule for rounding is:
- If the digit to the right (in this case, 5) is 5 or greater, you round the digit in the thousandths place up by 1.
- If it is less than 5, you keep the digit in the thousandths place the same. Since our ten-thousandths digit is 5, we round the 2 in the thousandths place up by 1, resulting in 3.
- Construct the final rounded number:
Therefore, when rounding 43.6925 to the nearest thousandths, we keep the whole number and the digits up to the thousandths place unchanged, and replace the thousandths digit with the new rounded digit. Thus, 43.6925 rounds to 43.693.
Summary:
The final answer is 43.693 when rounding 43.6925 to the nearest thousandths. This rounding process is crucial in various fields, including mathematics, finance, and science, where precision is essential. It ensures that calculations are accurate and meaningful, especially when dealing with measurements, data analysis, and reporting. Rounding helps simplify numbers while maintaining a level of accuracy appropriate for the context in which they are used. Understanding how to round effectively is a fundamental skill in both academic and practical applications.