The product of the place values of two 2’s in 428721 is

Options

A. 4
B. 40000
C. 400000
D. `40000000`

Answer

To find the product of the place values of the two 2's in the number 428721, we will follow these steps:

### Step 1: Identify the place values of the two 2's in the number.
The number 428721 can be broken down as follows:
- 4 is in the hundred-thousands place (400000)
- 2 is in the ten-thousands place (20000)
- 8 is in the thousands place (8000)
- 7 is in the hundreds place (700)
- 2 is in the tens place (20)
- 1 is in the units place (1)

So, the two 2's are located in the ten-thousands place and the tens place.

### Step 2: Write down the place values of both 2's.
- The place value of the first 2 (in the ten-thousands place) is 20000.
- The place value of the second 2 (in the tens place) is 20.

### Step 3: Calculate the product of the place values.
Now, we will multiply the place values:
\[ \text{Product} = 20000 \times 20 \]

### Step 4: Perform the multiplication.
To calculate:
\[ 20000 \times 20 = 400000 \]

### Step 5: Write the final answer.
The product of the place values of the two 2's in 428721 is 400000.

### Summary of the solution:
The product of the place values of the two 2's in the number 428721 is 400000, which corresponds to option three.

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