Number Decomposition: Breaking Down 106,278 into Place Values

To solve this problem, we'll follow these steps:

• Step 1: Identify each digit in the number's place value: 106,278 is composed of 1 hundred thousand, 6 ten thousands, 2 thousands, 7 hundreds, and 8 tens.
• Step 2: Express the number in terms of its place values: $106,278 = 1 \times 100,000 + 6 \times 10,000 + 2 \times 1,000 + 7 \times 100 + 8 \times 10$.
• Step 3: Compare this decomposition with the given answer choices.

Now, let's evaluate:

106,278 can be decomposed as:

• $1 \times 100,000 + 6 \times 10,000 + 2 \times 1,000 + 7 \times 100 + 8 \times 10$.

By checking against the choices:

Choice 1: $1 \times 100,000 + 6 \times 10,000 + 2 \times 1,000 + 7 \times 100 + 8 \times 10$ matches exactly with our decomposition.

Therefore, the correct decomposition of the number 106,278 is: $1 \times 100,000 + 6 \times 10,000 + 2 \times 1,000 + 7 \times 100 + 8 \times 10 = 106,278$.