Source: Extra Practice

For the number 78,92,10,345 (Indian System), identify the correct place values for the digits '8' and '1'.

Options

Option A

Place value of '8' is 80,000,000 and '1' is 100,000.

Option B

Place value of '8' is 8,000,000 and '1' is 100,000.

Option C is correct

Place value of '8' is 80,000,000 and '1' is 10,000.

Option D

Place value of '8' is 800,000,000 and '1' is 1,000,000.

Explanation

In the Indian Number System, the place values are grouped differently from the International System. Starting from the right, the places are Ones, Tens, Hundreds, Thousands, Ten Thousands, Lakhs, Ten Lakhs, Crores, Ten Crores, and so on. For the given number 78,92,10,345:

  • Counting from the right:
    • 5 is at the Ones place.
    • 4 is at the Tens place.
    • 3 is at the Hundreds place.
    • 0 is at the Thousands place.
    • 1 is at the Ten Thousands place.
    • 2 is at the Lakhs place.
    • 9 is at the Ten Lakhs place.
    • 8 is at the Crores place.
    • 7 is at the Ten Crores place.

Therefore, the digit '8' is at the Crores place, and the digit '1' is at the Ten Thousands place.