Find the unknown digit to make each statement true

3.59 > 3.5 1 >3.572

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 7 for the condition to be satisfied.

Hence, the centre number can only be 8.