Correct 0.0066 78 to 3 decimal places

Correct 0.0066 78 to 3 decimal places

The Correct Answer and Explanation is:

To correctly round the number 0.006678 to three decimal places, we need to follow standard rounding rules. Let’s break this process down step by step:

Step 1: Identify the digit at the third decimal place

The number provided is 0.006678. Looking at the digits after the decimal point:

• The first decimal place is 0 (0.00).
• The second decimal place is 0 (0.000).
• The third decimal place is 6 (0.0066).

Step 2: Look at the digit in the fourth decimal place

To determine whether we should round the third decimal place up or leave it as is, we need to examine the digit immediately following the third decimal place. In this case, the fourth decimal place is 7.

Step 3: Apply rounding rules

The standard rule for rounding is as follows:

• If the digit after the place you are rounding to (in this case, the fourth decimal place) is 5 or greater, you round up the last digit you keep (the third decimal place in this case).
• If the digit is less than 5, you leave the digit as is.

Since the fourth decimal place is 7 (which is greater than 5), we round up the third decimal place.

Step 4: Perform the rounding

We round the 6 in the third decimal place up by 1, resulting in 7. Therefore, the number 0.006678 becomes 0.007 when rounded to three decimal places.

Final Answer:

0.007

Explanation:

Rounding to a specific number of decimal places is a common task in various fields, including finance, science, and mathematics. The primary goal is to express a number in a more concise form while maintaining as much precision as necessary. In this case, rounding 0.006678 to three decimal places results in 0.007, because the digit after the third decimal place (7) causes us to round up the last kept digit. This approach ensures that the result is both accurate and easy to work with for calculations requiring fewer decimal places.