High School

Matthew rounded numbers to the nearest thousand. Select all the numbers Matthew might have begun with when rounding to 156,000 to the nearest thousand.

Which of the following could be the original numbers before rounding to 156,000?

A. 155,500
B. 156,400
C. 156,500
D. 157,000

Answer :

Final answer:

To round a number to the nearest thousand, look at the digit in the thousands place and the digit to its right. If the digit to the right is 5 or greater, round up. If it is less than 5, round down. The numbers that could be the original numbers before rounding to 156,000 are 155,500, 156,400, 156,500, and 157,000.

Explanation:

To round a number to the nearest thousand, we look at the digit in the thousands place and the digit to its right. If the digit to the right is 5 or greater, we round up. If it is less than 5, we round down.

Looking at the options given, the numbers that could be the original numbers before rounding to 156,000 are:

  1. 155,500: When rounding this number to the nearest thousand, we look at the digit in the thousands place (5) and the digit to its right (5). Since the digit to the right is 5, we round up to 156,000.
  2. 156,400: When rounding this number to the nearest thousand, we look at the digit in the thousands place (6) and the digit to its right (4). Since the digit to the right is less than 5, we round down to 156,000.
  3. 156,500: When rounding this number to the nearest thousand, we look at the digit in the thousands place (6) and the digit to its right (5). Since the digit to the right is 5, we round up to 157,000.
  4. 157,000: This is the number we are rounding to, so it could also be the original number before rounding.

Learn more about rounding numbers here:

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