Number Decomposition: Breaking Down 352,001 into Place Values

Question

Choose the correct decomposition of the number 352,001.

Step-by-Step Solution

To solve this problem, we need to decompose the number 352,001 into its decimal place values.

Let's break this down:

  • Hundred Thousands Place: The digit '3' is in the hundred thousands place.
    The value is 3×100,000=300,000 3 \times 100,000 = 300,000 .
  • Ten Thousands Place: The digit '5' is in the ten thousands place.
    The value is 5×10,000=50,000 5 \times 10,000 = 50,000 .
  • Thousands Place: The digit '2' is in the thousands place.
    The value is 2×1,000=2,000 2 \times 1,000 = 2,000 .
  • Hundreds Place: There is no digit in the hundreds place, so the value is 0×100=0 0 \times 100 = 0 .
  • Tens Place: There is no digit in the tens place, so the value is 0×10=0 0 \times 10 = 0 .
  • Units Place: The digit '1' is in the units place.
    The value is 1×1=1 1 \times 1 = 1 .

Now, we add these values together to verify decomposition:
300,000+50,000+2,000+0+0+1=352,001 300,000 + 50,000 + 2,000 + 0 + 0 + 1 = 352,001 .

Hence, the correct decomposition of the number 352,001 is:

3×100,000+5×10,000+2×1,000+1×1=352,001 3 \times 100,000 + 5 \times 10,000 + 2 \times 1,000 + 1 \times 1 = 352,001 .

We compare this to the choices provided and see that it matches .

Therefore, the solution to the problem is 3×100,000+5×10,000+2×1,000+1×1=352,001 3 \times 100,000 + 5 \times 10,000 + 2 \times 1,000 + 1 \times 1 = 352,001 .

Answer

3×100,000+5×10,000+2×1,000+1×1=352,001 3\times100,000+5\times10,000+2\times1,000+1\times1=352,001