Write the place name and place value of each digit in the following numbers. (1) 35, 705 (2) 7, 82, 899 (3) 82, 74, 508. The expanded form of the number is given. Write the number.
The Correct Answer and Explanation is:
Let’s break down each number and identify the place names and place values of each digit:
1) 35,705
- Place Names and Values:
- The number can be expanded as:
30,000+5,000+700+0+530,000 + 5,000 + 700 + 0 + 530,000+5,000+700+0+5 - 3 in 35,705 is in the thousands place, so its place value is 30,000.
- 5 in 35,705 is in the thousands place, so its place value is 5,000.
- 7 in 35,705 is in the hundreds place, so its place value is 700.
- 0 in 35,705 is in the tens place, so its place value is 0.
- 5 in 35,705 is in the ones place, so its place value is 5.
Number: 35,705 - The number can be expanded as:
2) 7,82,899
- Place Names and Values:
- The number can be expanded as:
700,000+80,000+2,000+800+90+9700,000 + 80,000 + 2,000 + 800 + 90 + 9700,000+80,000+2,000+800+90+9 - 7 in 7,82,899 is in the hundred-thousands place, so its place value is 700,000.
- 8 in 7,82,899 is in the ten-thousands place, so its place value is 80,000.
- 2 in 7,82,899 is in the thousands place, so its place value is 2,000.
- 8 in 7,82,899 is in the hundreds place, so its place value is 800.
- 9 in 7,82,899 is in the tens place, so its place value is 90.
- 9 in 7,82,899 is in the ones place, so its place value is 9.
Number: 7,82,899 - The number can be expanded as:
3) 82,74,508
- Place Names and Values:
- The number can be expanded as:
80,000,000+2,000,000+700,000+40,000+500+0+880,000,000 + 2,000,000 + 700,000 + 40,000 + 500 + 0 + 880,000,000+2,000,000+700,000+40,000+500+0+8 - 8 in 82,74,508 is in the ten-millions place, so its place value is 80,000,000.
- 2 in 82,74,508 is in the millions place, so its place value is 2,000,000.
- 7 in 82,74,508 is in the hundred-thousands place, so its place value is 700,000.
- 4 in 82,74,508 is in the ten-thousands place, so its place value is 40,000.
- 5 in 82,74,508 is in the hundreds place, so its place value is 500.
- 0 in 82,74,508 is in the tens place, so its place value is 0.
- 8 in 82,74,508 is in the ones place, so its place value is 8.
Number: 82,74,508 - The number can be expanded as:
Final Answer Recap:
- 35,705 → 30,000 + 5,000 + 700 + 0 + 5
- 7,82,899 → 700,000 + 80,000 + 2,000 + 800 + 90 + 9
- 82,74,508 → 80,000,000 + 2,000,000 + 700,000 + 40,000 + 500 + 0 + 8
By identifying the place names (thousands, hundreds, ones, etc.), you can easily find the place value of each digit. The expanded form of a number is simply the sum of the place values of all its digits.
