Round each number below to the underlined place. 457 324 512 387 864 574 103 601 126 897 554 761
The Correct Answer and Explanation is:
To round the given numbers to the underlined place, we must first determine which digit corresponds to the underlined place value. Since the place values for rounding are not explicitly given in the problem, I’ll assume that you want the numbers rounded to the nearest hundred. Here’s how we approach each number:
- 457,324 – Rounded to the nearest hundred:
- Look at the tens place (2). Since 2 is less than 5, we round down.
- The rounded number is 457,300.
- 512,387 – Rounded to the nearest hundred:
- Look at the tens place (8). Since 8 is greater than or equal to 5, we round up.
- The rounded number is 512,400.
- 864,574 – Rounded to the nearest hundred:
- Look at the tens place (7). Since 7 is greater than or equal to 5, we round up.
- The rounded number is 864,600.
- 103,601 – Rounded to the nearest hundred:
- Look at the tens place (0). Since 0 is less than 5, we round down.
- The rounded number is 103,600.
- 126,897 – Rounded to the nearest hundred:
- Look at the tens place (9). Since 9 is greater than or equal to 5, we round up.
- The rounded number is 126,900.
- 554,761 – Rounded to the nearest hundred:
- Look at the tens place (6). Since 6 is greater than or equal to 5, we round up.
- The rounded number is 554,800.
Explanation:
Rounding numbers to a specific place involves observing the digit in the place value immediately to the right of the desired place. If this digit is 5 or greater, we round up. If it’s less than 5, we round down, which means the digit in the underlined place remains unchanged, and all digits to the right are replaced with zeros.
This method ensures consistency in representing numbers at different levels of precision. Rounding is commonly used to simplify calculations and when precise values aren’t necessary, like when estimating or presenting large quantities where exact figures aren’t crucial.
So, applying this rounding rule gives us the final rounded values:
- 457,300
- 512,400
- 864,600
- 103,600
- 126,900
- 554,800
