The local value of 7 in the numeral 5679032 is -----

Options

A. 7
B. 70000
C. 10000
D. 5070000

Answer

To find the local value of 7 in the numeral 5679032, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Position of the Digit**:
The number is 5679032. We need to locate the digit 7 in this number. The digit 7 is in the fifth position from the right.

2. **Determine the Place Value**:
The place value of a digit depends on its position in the number. The positions from right to left are as follows:
- 1st position: Units (1)
- 2nd position: Tens (10)
- 3rd position: Hundreds (100)
- 4th position: Thousands (1,000)
- 5th position: Ten Thousands (10,000)
- 6th position: Lakhs (100,000)
- 7th position: Ten Lakhs (1,000,000)

Since 7 is in the fifth position, its place value is 7 multiplied by 10,000.

3. **Calculate the Local Value**:
Now, we calculate the local value of 7:
\[ \text{Local Value} = 7 \times 10,000 = 70,000 \]

4. **Final Answer**:
Therefore, the local value of 7 in the numeral 5679032 is **70,000**.