Final answer:
The correct expanded form of 43,604 is 40,000 + 3,000 + 600 + 4, which breaks down the number according to its place values. Option (a) is the correct representation of this expanded form.
Step-by-step explanation:
The question asks to decompose the number 43,604 into its expanded form. To do this, we break down the number according to its place values.
- The digit 4 is in the ten thousands place, so it represents 40,000.
- The digit 3 is in the thousands place, so it represents 3,000.
- The digit 6 is in the hundreds place, so it represents 600.
- The digit 0 is in the tens place, but since it is 0, we do not need to include it in the expanded form as it does not add any value.
- The digit 4 is in the ones place, so it represents 4.
Therefore, the correct expanded form of 43,604 is 40,000 + 3,000 + 600 + 4, which corresponds to option (a).