The Correct Answer and Explanation is:
The correct answer is 95,000.
To round the number 94,686.70835 to the nearest thousand, we need to follow a systematic process. The goal is to find the multiple of one thousand that is closest to the original number.
First, we identify the digit in the place value we are rounding to, which is the thousands place. In the number 94,686.70835, let’s look at the whole number part, 94,686. The digit 4 is in the thousands place. This is our target digit.
Next, we look at the digit immediately to the right of the target digit. This digit will determine whether we round up or keep the target digit the same. The digit to the right of the thousands place is the one in the hundreds place, which is 6.
The rule for rounding is straightforward. If the digit to the right of the target place is 5 or greater (5, 6, 7, 8, or 9), we round the target digit up by one. If it is 4 or less (0, 1, 2, 3, or 4), we keep the target digit as it is.
In this problem, the digit in the hundreds place is 6. Since 6 is greater than 5, we must round up the digit in the thousands place. We take the digit 4 and increase it by one, which gives us 5.
Finally, we replace all the digits to the right of the rounded digit with zeros. This means the hundreds, tens, and ones places all become zero. The decimal part of the number is discarded entirely. The digit in the ten thousands place, the 9, remains unchanged.
Applying these steps, the number 94,686.70835 becomes 95,000. You can also think of this as determining whether 94,686.70835 is closer to 94,000 or 95,000. The halfway point is 94,500. Since our original number is greater than 94,500, it is correctly rounded up to 95,000.
