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

Question

Write the number 10,654 in its expanded form.

Step-by-Step Solution

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

Thus, the number can be expanded as follows:

10,654=1×10,000+0×1,000+6×100+5×10+4×1 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=1×10,000+6×100+5×10+4×1 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 1×10,000+6×100+5×10+4×1\boxed{1 \times 10,000 + 6 \times 100 + 5 \times 10 + 4 \times 1}, corresponding to choice 1.

Answer

10,654=1×10,000+6×100+5×10+4×1 10,654=1\times10,000+6\times100+5\times10+4\times1