Find the sum of the place value of all the digits of 6215
Answers
Answer:
93,324
Step-by-step explanation:
Given
Find the sum of the place value of all the digits of 6215
ANSWER
To find the place value of all digits we need to find sum of all numbers at first, second, third and fourth place.
The number of four digits formed using 6215 is 4 x 3 x 2 x 1 = 24
So 24/4 = 6
In 24 numbers formed, each digit of 6215 will be 6 times at 1st, 2nd, 3rd and 4th place.
So consider thousand’s place. Sum of numbers at first place that is thousand’s place will be
6(6 + 2 + 1 + 5) = 6 x 14 = 84
Sum of numbers in hundred’s place will be
6(6 + 2 + 1 + 5) = 6 x 14 = 84
Sum of numbers in ten’s place will be
6(6 + 2 + 1 + 5) = 6 x 14 = 84
Sum of numbers in unit’s place will be
6(6 + 2 + 1 + 5) = 6 x 14 = 84
So sum of all four digit numbers formed using 6215 will be
84 x 1000 = 84,000
84 x 100 = 8,400
84 x 10 = 840
84 x 1 = 84
Total is 93,324
So the sum of the place value of all the digits of 6215 is 93,324