Respuesta :
We are given statement 3.59 > 3.5__1 >3.572.
We have a blank space in between 5 and 1 in the middle number given.
Given statement ccan be read as :
3.59 is greater than 3.5__1 is greater than 3.572.
So, we need to check a number that is less than 3.59 but less than 3.572.
The hundredth place of 3.59 number is 9 and
hundredth place of 3.572 number is 7.
So, we need to find a number between 7 and 9.
8 is the number in between 7 and 9.
So, the known digit can be replaced by 8 to make the statement true.
And final statement is 3.59 > 3.581 >3.572.
The unknown digit here is 8
3.59 > 3.581 >3.572
The numbers given are up to 3 decimal places.
Since the unit's digit and the tenth digit of all the three numbers are same, the the centre number needs to be < 9 and > 7 for the condition to be satisfied.
Hence, the centre number can only be 8.