Half-Life Is a Count Budget

One Half Life Halves the Count

One exact half-life leaves half the starting nuclei. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

One exact half-life halves the count

Starting with 64 nuclei, one half-life leaves 32.

64÷2=3264\div2=32
One half-life ledgerThe remaining count is checked.N0=64halves=1left=32decayed=32

The decayed count is the complement

If 32 remain, then 32 have decayed.

64−32=3264-32=32
One half-life complementNo random sequence is claimed.N0=64halves=1left=32decayed=32