Expanded Form Practice: Convert 10,654 into Place Value Notation

Write the number 10,654 in its expanded form.

To solve this problem, we will express the number 10,654 in its expanded form by considering each digit's position and multiplying it by its place value.

• Step 1: Identify the digit and its place value.
  • The digit 1 is in the ten thousands place: $1 \times 10,000$
  • The digit 0 is in the thousands place: $0 \times 1,000$ (This will not affect the sum as it is zero)
  • The digit 6 is in the hundreds place: $6 \times 100$
  • The digit 5 is in the tens place: $5 \times 10$
  • The digit 4 is in the units place: $4 \times 1$
• Step 2: Write the expanded form by adding these products together.

Thus, the number can be expanded as follows:

$10,654 = 1 \times 10,000 + 0 \times 1,000 + 6 \times 100 + 5 \times 10 + 4 \times 1$

Simplifying the valid (non-zero) terms, we have:

$10,654 = 1 \times 10,000 + 6 \times 100 + 5 \times 10 + 4 \times 1$

Therefore, the expanded form of the number 10,654 is $\boxed{1 \times 10,000 + 6 \times 100 + 5 \times 10 + 4 \times 1}$, corresponding to choice 1.