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 need to first identify the place value being indicated. Since no specific place is mentioned in your message, I’ll assume you’re asking for rounding to the nearest ten, hundred, and thousand.
Let’s work through the process step by step:
1. Rounding to the Nearest Ten:
When rounding to the nearest ten, we look at the digit in the ones place. If it’s 5 or higher, we round up the tens digit by one. If it’s 4 or lower, we leave the tens digit unchanged and turn the ones digit into zero.
- 457 → 460 (since the ones digit is 7, which is 5 or more, so round up)
- 324 → 320 (ones digit is 4, so round down)
- 512 → 510 (ones digit is 2, so round down)
- 387 → 390 (ones digit is 7, so round up)
- 864 → 860 (ones digit is 4, so round down)
- 574 → 570 (ones digit is 4, so round down)
- 103 → 100 (ones digit is 3, so round down)
- 601 → 600 (ones digit is 1, so round down)
- 126 → 130 (ones digit is 6, so round up)
- 897 → 900 (ones digit is 7, so round up)
- 554 → 550 (ones digit is 4, so round down)
- 761 → 760 (ones digit is 1, so round down)
2. Rounding to the Nearest Hundred:
When rounding to the nearest hundred, we look at the digit in the tens place. If it’s 5 or higher, we round the hundreds digit up by one, and if it’s 4 or lower, we leave the hundreds digit unchanged and set the tens and ones digits to zero.
- 457 → 500 (tens digit is 5, so round up)
- 324 → 300 (tens digit is 2, so round down)
- 512 → 500 (tens digit is 1, so round down)
- 387 → 400 (tens digit is 8, so round up)
- 864 → 900 (tens digit is 6, so round up)
- 574 → 600 (tens digit is 7, so round up)
- 103 → 100 (tens digit is 0, so round down)
- 601 → 600 (tens digit is 0, so round down)
- 126 → 100 (tens digit is 2, so round down)
- 897 → 900 (tens digit is 9, so round up)
- 554 → 600 (tens digit is 5, so round up)
- 761 → 800 (tens digit is 6, so round up)
3. Rounding to the Nearest Thousand:
When rounding to the nearest thousand, we look at the digit in the hundreds place. If it’s 5 or higher, we round the thousands digit up by one, and if it’s 4 or lower, we leave the thousands digit unchanged and set the hundreds, tens, and ones digits to zero.
- 457 → 0 (hundreds digit is 4, so round down)
- 324 → 0 (hundreds digit is 3, so round down)
- 512 → 0 (hundreds digit is 5, so round up)
- 387 → 0 (hundreds digit is 3, so round down)
- 864 → 0 (hundreds digit is 8, so round up)
- 574 → 0 (hundreds digit is 5, so round up)
- 103 → 0 (hundreds digit is 1, so round down)
- 601 → 0 (hundreds digit is 6, so round up)
- 126 → 0 (hundreds digit is 1, so round down)
- 897 → 0 (hundreds digit is 8, so round up)
- 554 → 0 (hundreds digit is 5, so round up)
- 761 → 1000 (hundreds digit is 7, so round up)
Explanation of Rounding:
Rounding is a way to simplify a number while keeping it close to the original value. The method we use depends on the place value we are rounding to:
- Nearest ten: We consider the ones digit to determine if we round up or down.
- Nearest hundred: We look at the tens digit to decide if we round the hundreds digit up or down.
- Nearest thousand: We assess the hundreds digit to make the decision for rounding the thousands digit.
The general rule for rounding is:
- If the digit in the place immediately to the right of the place you’re rounding to is 5 or higher, you round up.
- If it’s 4 or lower, you round down.
