- Identify the place value by counting positions from the right, starting at the ones place.
- Assign the corresponding place name (ones, tens, hundreds, etc.) to the position of each underlined digit.
- 1. Tens, 2. Tens, 3. Hundreds, 4. Ones, 5. Thousands, 6. Tens, 7. Hundreds, 8. Hundreds, 9. Hundreds, 10. Tens, 11. Thousands, 12. Hundreds, 13. Tens, 14. Tens, 15. Hundreds, 16. Hundreds, 17. Tens, 18. Hundreds, 19. Thousands, 20. Tens.
Explanation
- Problem Analysis and Place Value Definition
To determine the place value of a digit, we identify its position within the number relative to the right-most digit, which starts at the 'ones' place. The sequence of place values moving from right to left is ones, tens, hundreds, thousands, ten-thousands, and hundred-thousands. Each number provided contains exactly one underlined digit whose position defines its value.
- Step-by-Step Identification of Place Values
We analyze each of the 20 numbers to identify the place value of the underlined digit:
- \(82\underline{3}8\): The underlined 3 is in the tens place.
- \(3\underline{8}0\): The underlined 8 is in the tens place.
- \(\underline{6}85\): The underlined 6 is in the hundreds place.
- \(9\underline{8}\): The underlined 8 is in the ones place.
- \(\underline{6}352\): The underlined 6 is in the thousands place.
- \(64\underline{1}6\): The underlined 1 is in the tens place.
- \(5\underline{3}89\): The underlined 3 is in the hundreds place.
- \(8\underline{5}79\): The underlined 5 is in the hundreds place.
- \(3\underline{1}17\): The underlined 1 is in the hundreds place.
- \(1058\underline{4}0\): The underlined 4 is in the tens place.
- \(11\underline{3}117\): The underlined 3 is in the thousands place.
- \(125\underline{8}40\): The underlined 8 is in the hundreds place.
- \(1\underline{9}9\): The underlined 9 is in the tens place.
- \(125\underline{9}8\): The underlined 9 is in the tens place.
- \(136\underline{6}94\): The underlined 6 is in the hundreds place.
- \(14\underline{5}98\): The underlined 5 is in the hundreds place.
- \(9\underline{8}9\): The underlined 8 is in the tens place.
- \(16\underline{8}01\): The underlined 8 is in the hundreds place.
- \(17\underline{7}367\): The underlined 7 is in the thousands place.
- \(1848\underline{8}9\): The underlined 8 is in the tens place.
- Final Results
The identification process is complete for all 20 numbers provided. The results are summarized below:
- Tens, 2. Tens, 3. Hundreds, 4. Ones, 5. Thousands, 6. Tens, 7. Hundreds, 8. Hundreds, 9. Hundreds, 10. Tens, 11. Thousands, 12. Hundreds, 13. Tens, 14. Tens, 15. Hundreds, 16. Hundreds, 17. Tens, 18. Hundreds, 19. Thousands, 20. Tens.
Examples
Understanding place value is essential for handling money and measurements. For instance, when counting your savings, identifying that a digit in the hundreds place represents hundreds of dollars helps you quickly estimate your total funds. In daily tasks like reading a car's odometer or checking prices at a store, place value allows you to quickly grasp the scale of the number, ensuring you make informed decisions about your budget and resources.