Write an Equation for 45,603: Multiple Representation Challenge

Choose an equation for the number 45,603.

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 $45,603 = 4 \times 10,000 + 5 \times 1,000 + 6 \times 100 + 0 \times 10 + 3 \times 1$.