Absorption records the opposite direction with the same gap. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
Absorption uses the same two energies
Changing the direction to absorption does not change the gap value.
Eupper−Elower=9−4=5J
The photon direction changes, not the arithmetic
The accepted gap is still 5 joules, with direction recorded as absorption.