
The sum of the face value of all the digits of 749205 is ______________.
A) 27
B) 45
C) 28
D) 74
Answer
608.4k+ views
Hint: To solve this type of question we should know that face value are the digits present in the place value of each and every digit of the number.
Complete step by step answer:
As we know that face value are the digits present in each place For example let us suppose a number 4213.
If we expand it we will get it as
\[4213 = 4 \times 1000 + 2 \times 100 + 1 \times 10 + 3\]
In this case the place value of 4 is 1000 and the face value of 4 is 4 only same goes for all other digits for 2 the place value is 100 and the face value is 2 itself for 1 the place value is 10 and the face value is 1 and for 3 also the face value is 3 only
Now as we know to differentiate between the place value and face value let us come back to our question i.e., 749205. So let us first expand it and then find the face value separately for each digit.
\[749205 = 7 \times 100000 + 4 \times 10000 + 9 \times 1000 + 2 \times 100 + 0 \times 10 + 5\]
So here we are getting the face value as 7,4,9,2,0 and 5. Now let us try to find the sum of all face value we will get it as
\[7 + 4 + 9 + 2 + 0 + 5 = 27\]
Therefore 27 is the correct answer and option A is correct.
Note: It must be noted that the face value of each digit in a number is the digit itself. So in this type of question instead of finding it after expansion you may directly add all the digits of the number i.e., \[7 + 4 + 9 + 2 + 0 + 5 = 27\] and that will also give the same results.
Complete step by step answer:
As we know that face value are the digits present in each place For example let us suppose a number 4213.
If we expand it we will get it as
\[4213 = 4 \times 1000 + 2 \times 100 + 1 \times 10 + 3\]
In this case the place value of 4 is 1000 and the face value of 4 is 4 only same goes for all other digits for 2 the place value is 100 and the face value is 2 itself for 1 the place value is 10 and the face value is 1 and for 3 also the face value is 3 only
Now as we know to differentiate between the place value and face value let us come back to our question i.e., 749205. So let us first expand it and then find the face value separately for each digit.
\[749205 = 7 \times 100000 + 4 \times 10000 + 9 \times 1000 + 2 \times 100 + 0 \times 10 + 5\]
So here we are getting the face value as 7,4,9,2,0 and 5. Now let us try to find the sum of all face value we will get it as
\[7 + 4 + 9 + 2 + 0 + 5 = 27\]
Therefore 27 is the correct answer and option A is correct.
Note: It must be noted that the face value of each digit in a number is the digit itself. So in this type of question instead of finding it after expansion you may directly add all the digits of the number i.e., \[7 + 4 + 9 + 2 + 0 + 5 = 27\] and that will also give the same results.
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