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 is correct

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

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

Let's analyze the place values in the Indian System for the number 78,92,10,345:

  • The digit '8' is in the Crores place (the 8th position from the right). So, its place value is 8×1,00,00,000=8,00,00,0008 \times 1,00,00,000 = 8,00,00,000 (which is 80 million in the International System).
  • The digit '1' is in the Lakhs place (the 6th position from the right). So, its place value is 1×1,00,000=1,00,0001 \times 1,00,000 = 1,00,000 (which is 100 thousand in the International System).

Comparing these with the options, Option A correctly states the place values: Place value of '8' is 80,000,000 and '1' is 100,000. Option B incorrectly identifies the place value of '8' as 8 million. Option C incorrectly identifies the place value of '1' as ten thousand. Option D misidentifies both place values, placing '8' in the hundred crores and '1' in ten lakhs place.