Write an Equation for 45,603: Multiple Representation Challenge

To solve this problem, we need to express the number 45,603 clearly through its decomposition using place values from the decimal system. Let's follow these structured steps:

• Step 1: Identify place values and digits.
  • The digit in the ten-thousands place is 4.
  • The digit in the thousands place is 5.
  • The digit in the hundreds place is 6.
  • The digit in the tens place is 0.
  • The digit in the units place is 3.
• Step 2: Write the number in expanded form using the identified place values.
  • By following the place value, we express the number as $4 \times 10,000 + 5 \times 1,000 + 6 \times 100 + 0 \times 10 + 3 \times 1$.
• Step 3: Verify the expression matches one of the choices provided.
  • Compare this decomposition with the given answer choices to find a match.

The correct decomposition according to the calculation matches choice 4, which is $4 \times 10,000 + 5 \times 1,000 + 6 \times 100 + 0 \times 10 + 3 \times 1$.

Therefore, the equation that represents 45,603 is $45,603 = 4 \times 10,000 + 5 \times 1,000 + 6 \times 100 + 0 \times 10 + 3 \times 1$.