Round 67.24 to four decimal places
The Correct Answer and Explanation is :
To round the number 67.24 to four decimal places, we follow these steps:
Step 1: Identify the digit in the fourth decimal place.
The number 67.24 is expressed with only two decimal places: 67.24. So, to round it to four decimal places, we need to consider adding zeros after the 2nd decimal. This will give us 67.2400.
Step 2: Examine the digit after the fourth decimal place.
The number 67.2400 now has four decimal places, but we don’t need to round any further because there are no digits beyond the fourth decimal (the digits we added after the decimal point are zeros).
Step 3: Rounding decision.
Since the number already has fewer than four decimal places, and we added zeros to achieve the four decimal places, the number remains the same. Therefore, the rounded number to four decimal places is:
67.2400
Explanation:
Rounding is a technique used to simplify a number while maintaining its approximate value. In this case, the original number, 67.24, was expressed with only two decimal places. When rounding to four decimal places, we need to add enough zeros to reach the fourth decimal. This is particularly useful when dealing with precision in measurements, such as in scientific calculations, engineering, or financial transactions, where the exact value might not be required.
When rounding numbers, we look at the digit immediately after the place we are rounding to. If this digit is 5 or greater, we round up, and if it is less than 5, we round down. In this case, since there are no digits beyond the second decimal place, we simply add the necessary zeros.
This process ensures that we maintain the correct level of precision, which is essential in many contexts, including budgeting, data analysis, or reporting. It’s important to remember that rounding does not change the magnitude of the number, it only alters its presentation for clarity or convenience.