Round 4.0145326093 to 6 decimal places.
The correct answer and explanation is:
The number 4.0145326093 rounded to 6 decimal places is 4.014533.
Explanation:
When rounding a number to a certain number of decimal places, we follow specific rules. In this case, we are rounding the number to 6 decimal places, meaning the result will have 6 digits after the decimal point.
Here’s the process:
- Look at the digit in the 7th decimal place: For the number 4.0145326093, the digit in the 7th decimal place is 9.
- Decide whether to round up or down: The rule for rounding is simple:
- If the digit in the place you are rounding to (in this case, the 7th decimal place) is 5 or greater, you round up the last digit you keep.
- If the digit is less than 5, you leave the last digit unchanged.
- Apply the rule: Since the 7th decimal place is 9, which is greater than 5, we round up the digit in the 6th decimal place from 2 to 3.
Thus, the rounded number is 4.014533.
Key Points:
- Rounding does not change the digits before the decimal point unless necessary.
- The digit in the place to which we are rounding determines whether to round up or down.
- Always check the digit in the next place to make the correct rounding decision.
Rounding is useful when working with numbers in contexts like financial calculations, measurements, or when you want to limit precision for ease of use.