The expanded form of 40,02,382 is _______.

Options

A. `4 xx 10,00,000 + 2 xx 1,00,000 + 3 xx 1,000 + 8 xx 10+2`
B. `4 xx 10,00,000 + 2 xx 1,000 + 3 xx 100 + 8 xx 10 + 2`
C. `4 xx 1,00,000 + 2 xx 10,000 + 3 xx 1,000 + 8 xx 1`
D. None of these

Answer

To find the expanded form of the number 40,02,382, we will break down the number according to the place values of each digit.

### Step-by-Step Solution:

1. **Identify the digits and their place values**:
The number 40,02,382 can be broken down as follows:
- 4 is in the ten lakhs place
- 0 is in the lakhs place
- 0 is in the ten thousands place
- 2 is in the thousands place
- 3 is in the hundreds place
- 8 is in the tens place
- 2 is in the units place

2. **Write the expanded form**:
The expanded form is written by multiplying each digit by its place value:
- 4 in the ten lakhs place = 4 × 10,00,000
- 0 in the lakhs place = 0 × 1,00,000
- 0 in the ten thousands place = 0 × 10,000
- 2 in the thousands place = 2 × 1,000
- 3 in the hundreds place = 3 × 100
- 8 in the tens place = 8 × 10
- 2 in the units place = 2 × 1

Therefore, the expanded form can be written as:
\[ 4 \times 10,00,000 + 0 \times 1,00,000 + 0 \times 10,000 + 2 \times 1,000 + 3 \times 100 + 8 \times 10 + 2 \times 1 \]

3. **Simplify the expression**:
Since multiplying by zero results in zero, we can ignore the terms with 0:
\[ 4 \times 10,00,000 + 2 \times 1,000 + 3 \times 100 + 8 \times 10 + 2 \times 1 \]

4. **Calculate the values**:
- \(4 \times 10,00,000 = 40,00,000\)
- \(2 \times 1,000 = 2,000\)
- \(3 \times 100 = 300\)
- \(8 \times 10 = 80\)
- \(2 \times 1 = 2\)

5. **Combine the values**:
Now, we add these values together:
\[ 40,00,000 + 2,000 + 300 + 80 + 2 = 40,02,382 \]

Thus, the expanded form of 40,02,382 is:
\[ 40,00,000 + 0 + 0 + 2,000 + 300 + 80 + 2 \]

### Final Answer:
The expanded form of 40,02,382 is:
\[ 40,00,000 + 2,000 + 300 + 80 + 2 \]