4. Find the difference between the place values of: (i) 6 in 6,15,265 (ii) 3 in 3,47,13,671 (iii) 5 in 95,23,165 (iv) 4 in 8,36,45,241
Answer (1)
To find the difference between the place values of digits in a number, we need to understand what place value means. Place value refers to the value of a digit based on its position in a number. Let's solve each part of the question step by step:
(i) 6 in 6,15,265
The number is 6,15,265. The digit '6' appears twice:
The first '6' is in the hundred-thousands place, which means its place value is 6 × 100 , 000 = 600 , 000 .
The second '6' is in the units place, which means its place value is 6 × 1 = 6 .
The difference between the place values is 600 , 000 − 6 = 599 , 994 .
(ii) 3 in 3,47,13,671
The number is 3,47,13,671. The digit '3' appears twice:
The first '3' is in the ten-millions place, which means its place value is 3 × 10 , 000 , 000 = 30 , 000 , 000 .
The second '3' is in the hundreds place, which means its place value is 3 × 100 = 300 .
The difference between the place values is 30 , 000 , 000 − 300 = 29 , 999 , 700 .
(iii) 5 in 95,23,165
The number is 95,23,165. The digit '5' appears twice:
The first '5' is in the millions place, which means its place value is 5 × 1 , 000 , 000 = 5 , 000 , 000 .
The second '5' is in the tens place, which means its place value is 5 × 10 = 50 .
The difference between the place values is 5 , 000 , 000 − 50 = 4 , 999 , 950 .
(iv) 4 in 8,36,45,241
The number is 8,36,45,241. The digit '4' appears twice:
The first '4' is in the thousands place, which means its place value is 4 × 1 , 000 = 4 , 000 .
The second '4' is in the tens place, which means its place value is 4 × 10 = 40 .
The difference between the place values is 4 , 000 − 40 = 3 , 960 .
To summarize, the differences between the place values in each part are: 599,994; 29,999,700; 4,999,950; 3,960 respectively.
