Final answer:
The question appears to be missing the crucial information regarding which place value to round the given numbers to, but guidance on rounding principles has been provided, emphasizing that digits 5 or greater result in rounding up, and any less result in rounding down.
Step-by-step explanation:
The original question seems to be missing context, as there is no underlined place value indicated on any of the numbers provided (A) 151,000 (B) 150,000 (C) 251,000 (D) 100,000 (E) 200,000. However, I can provide general guidance on rounding numbers to a specified place value based on the additional information given.
When rounding whole numbers, consider the digit to the right of the specified place value. If this digit is 5 or greater, you round up by increasing the digit in the specified place by one; if it is less than 5, you keep the digit in the specified place the same and change all digits to the right of it to zero. For example, if we were rounding to the nearest ten thousand, 151,000 would round to 150,000 because the next digit (1) is less than 5.
When dealing with decimals, such as with the number 201.867, you follow the same principle but consider the numerical value at the decimal place you are rounding to. If tasked to round to the hundredths place, we drop all decimal places beyond and look at the thousands place. With 201.867, the 7 in the thousandths place is larger than 5, meaning we round up and the number becomes 201.87.
Following this logic and using the provided information as a basis, the answer to any other questions on rounding should apply the same principle to the numbers given in the question.