(a) Find the difference between the place value and face value of 9 in 3,09,812. a (b) Find the difference between the place values of 1 and 6 in the numbers 17,68,905. (c) Find the difference between the place values of two 7s in the numbers 72,08,763.
Answers
Answer:
face value and place value
Step-by-step explanation:
309812
so face value will be 9
place value will be 9000
1768905
face value 1 6
place value 1000000 60000
7208763
face value 7 7
place value
7000000
700
see face value will always same
place value just see the number where it lies and after that how many digits are there just see and put them as 0
Place value of the digit in a number is defined by its position in the number where as face value of the digit in the number is the actual value of the number.
In order to get place value of a digit, we multiply the digit by the value of its position. For eg. in number 12345, the place value of the number 4 is 40 as is is placed on tens position and the face value will be the digit itself, 4.
(a) Given
The number- 309812
To find: difference between the place value and the face value of 9.
Solution:
Place value of 9 - 9*1000 (since 9 is at 1000th place) = 9000
Face value- 9
Difference:- 9000-9= 8991
(b)Given
The number- 1768905
to find: difference between the place values of 1 and 6.
Solution:
Place value of 6 - 6*10000 (since 6 is at 10 thousandth place) = 60000
Place value of 1 - 1*1000000 (since 6 is at 10 lakhs place) = 1000000
Difference:- 1000000- 60000= 940000
(c)Given
The number- 7208763
To find: difference between the place values of 7s
Solution:
Place value 1st of 7 - 7*100(since 7 is at 10 hundredth place) = 700
Place value of 2nd 7 - 7*1000000 (since 7 is at 10 lakhs place) = 7000000
Difference:- 7000000- 700= 6999300