An open switch is not a conducting edge, so the loop current is zero. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
An open switch breaks the path
When the switch is open, the conducting loop is broken at the switch.
open switch⇒no conducting loop
The current reading is zero
With no conducting path, the ammeter reads 0 amperes.
I=0A
Voltage does not matter without a path
The open switch blocks the branch in every row. Changing source voltage or load resistance does not create a conducting loop.