Expanded Form: Converting 58,570 to Place Value Notation

Write 58,570 in its expanded form.

To solve the problem of expressing 58,570 in expanded form, follow these steps:

• Identify the Place Value of Each Digit:

  • 5 is in the ten-thousands place.

  • 8 is in the thousands place.

  • 5 is in the hundreds place.

  • 7 is in the tens place.

  • 0 is in the ones place.

• Multiply Each Digit by its Place Value:

  • The digit 5 (ten-thousands) represents $5 \times 10,000$.

  • The digit 8 (thousands) represents $8 \times 1,000$.

  • The digit 5 (hundreds) represents $5 \times 100$.

  • The digit 7 (tens) represents $7 \times 10$.

  • The digit 0 (ones) represents $0 \times 1$.

• Express the Number as a Sum of these Terms:
  Combine these into an expression: $5 \times 10,000 + 8 \times 1,000 + 5 \times 100 + 7 \times 10 + 0 \times 1$.

Therefore, the expanded form of 58,570 is $58,570 = 5 \times 10,000 + 8 \times 1,000 + 5 \times 100 + 7 \times 10 + 0 \times 1$.