- Place Values: Every digit in a number has a place value based on its position (ones, tens, hundreds, thousands, etc.).
For 500,000, the place values are:
- 100,000 (hundred thousand)
- 10,000 (ten thousand)
- 1,000 (thousand)
- 100 (hundred)
- 10 (ten)
- 1 (ones)
- Break Down the Number: The number 500,000 has the following digits:
- The first digit is 5, and it is in the 100,000 place.
- The next five digits are 0, and they are in the places for 10,000, 1,000, 100, 10, and 1.
- Expanded Form: Now, we’ll write each digit multiplied by its place value.
- The 5 is in the 100,000 place, so it becomes: 5 × 100,000
- The 0 is in the 10,000 place, so it becomes: 0 × 10,000
- The 0 is in the 1,000 place, so it becomes: 0 × 1,000
- The 0 is in the 100 place, so it becomes: 0 × 100
- The 0 is in the 10 place, so it becomes: 0 × 10
- The 0 is in the 1 place, so it becomes: 0 × 1
- Putting it All Together: So, the number 500,000 in expanded form is:
500,000=5×100,000+0×10,000+0×1,000+0×100+0×10+0×1
This shows the value of each digit in the number based on its place value.