Solve: Converting 154,300 Using Expanded Notation with Powers of 10

To solve this problem, we will evaluate the sum of the expression given by:

$1 \times 100,000 + 5 \times 10,000 + 4 \times 1,000 + 3 \times 100 + 0 \times 1$

Let's follow these detailed steps:

• Step 1: Identify each digit and its respective place value.
  - 1 in the hundred-thousands place
  - 5 in the ten-thousands place
  - 4 in the thousands place
  - 3 in the hundreds place
  - 0 in the ones place
• Step 2: Multiply each digit by its place value:
  - $1 \times 100,000 = 100,000$
  - $5 \times 10,000 = 50,000$
  - $4 \times 1,000 = 4,000$
  - $3 \times 100 = 300$
  - $0 \times 1 = 0$
• Step 3: Add these results together:
  - $100,000 + 50,000 + 4,000 + 300 + 0 = 154,300$

Therefore, the solution to the problem is $154,300$.

Comparing with the provided answer choices, choice 4 $(154,340)$ is indeed the correct answer.