Final answer:
One eighth of 1,000 is calculated by multiplying 1,000 by the reciprocal of 8, yielding a result of 125, which is smaller than 1,000 and close to one-tenth of it.
Step-by-step explanation:
To calculate one eighth of 1,000, you can simply multiply 1,000 by the reciprocal of 8, which is ⅖. This approach simplifies the process, as multiplying by a reciprocal is generally easier than carrying out division. Thus, 1,000 × ⅖ equals 125, which is similar in function to a number divisible by 8, like multiples of 125. It is common sense that the result should be much smaller than 1,000, as we are calculating a fraction (one eighth) of it, ruling out larger numbers like 1,250.
Additionally, the value is close to one-tenth of 1,000, as one-tenth is 100, making 125 a sensible estimate. It's important to remember that when calculating a part of a whole, the result will be proportionally smaller than the original number.