Round 8.8607893334 to the nearest millionth.
The correct answer and explanation is:
To round 8.8607893334 to the nearest millionth, we need to focus on the seventh decimal place, since the millionth place corresponds to the sixth decimal place.
Here’s the breakdown of the number:
- 8.8607893334 has the digits:
- 8 in the ones place
- 8 in the tenths place
- 6 in the hundredths place
- 0 in the thousandths place
- 7 in the ten-thousandths place
- 8 in the hundred-thousandths place
- 9 in the millionths place
- 3 in the ten-millionths place
- 3 in the hundred-millionths place
- 3 in the billionths place
- 4 in the ten-billionths place
To round to the nearest millionth, we observe the digit in the seventh decimal place, which is 3. Since the digit after the millionth place (the ten-millionths place) is 3, it is less than 5. Therefore, we leave the digit in the millionths place unchanged.
So, rounding 8.8607893334 to the nearest millionth gives 8.860789.
When rounding decimals, it is essential to look at the digit immediately after the place you are rounding to. If this digit is 5 or greater, you round the target digit up by one. If it is less than 5, the target digit remains the same. In this case, the seventh decimal place (3) is less than 5, so the sixth decimal place remains at 9.
Understanding rounding rules helps ensure precision when dealing with measurements or calculations that require a fixed number of decimal places.