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: 1×10,000
- The digit 0 is in the thousands place: 0×1,000 (This will not affect the sum as it is zero)
- The digit 6 is in the hundreds place: 6×100
- The digit 5 is in the tens place: 5×10
- The digit 4 is in the units place: 4×1
- 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
Simplifying the valid (non-zero) terms, we have:
10,654=1×10,000+6×100+5×10+4×1
Therefore, the expanded form of the number 10,654 is 1×10,000+6×100+5×10+4×1, corresponding to choice 1.
10,654=1×10,000+6×100+5×10+4×1