To perform the subtraction \(0.900 - 0.746\), you can line up the numbers as follows:
0.900
- 0.746
_______
Now, subtract starting from the right:
In the thousandths place: \(0 - 6\) (can't do, so borrow from 0.00)
- New digits: \(10 - 6 = 4\) (borrowed 1, so it changes \(9\) to \(8\))
In the hundredths place: \(8 - 4 = 4\)
In the tenths place: \(0 - 7\) (again, can't do, so borrow)
- New digits: \(10 - 7 = 3\) (borrowed 1, changing \(0\) to \(0\) which is \(10\))
In the whole number: \(0 - 0 = 0\)
Putting it all together:
0.900
- 0.746
_______
0.154
Thus, \(0.900 - 0.746 = 0.154\).