Holding packet energy fixed while count changes makes the input-energy ledger visible. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Two packets make twenty-four joules

Hold packet energy at 12 joules. With 2 packets, the cycle input is 24 joules.

212=242\cdot12=24
Energy packet ledgerIdentical source packets add to a checked cycle input.packetpacketenergy

Three packets add another packet of input

The packet value remains 12 joules. Three packets give input energy 36 joules.

312=363\cdot12=36
Energy packet ledgerIdentical source packets add to a checked cycle input.packetpacketpacketenergy

Four packets make the count scale readable

With 4 packets, the checked total reaches 48 joules. Three rows make count times packet energy readable.

412=484\cdot12=48
Energy packet ledgerIdentical source packets add to a checked cycle input.packetpacketpacketpacketenergy