Question

Look at the middle 7 in the decimal 0.777. How is its value related to the value of the 7 to its left? To the value of the 7 to its right?

Answer 1

Value of middle 7 =
`(1)/(10)`(value of 7 to the left of the middle 7)

Value of middle 7 =
`10`(value of 7 to the right of the middle 7)

Explanation:

7 in the middle of number
`0.777` is equal to
`(7)/(100)`

7 to the left of the middle 7 is equal to
`(7)/(10)`

So,

`(7)/(100)=((1)/(10)) (7)/(10)`

That is value of middle 7 =
`(1)/(10)`(value of 7 to the left of the middle 7)

Also,

7 to the right of the middle 7 is equal to
`(7)/(1000)`

So,

`(7)/(100)=(10) (7)/(1000)`

That is value of middle 7 =
`10`(value of 7 to the right of the middle 7)