This scan makes half-life arithmetic visible by starting from 80 nuclei and halving the remaining count step by step. One exact half-life leaves 40, two leave 20, and three leave 10, while the decayed count fills the other side of the ledger. Real decay measurements are statistical samples, so activity, background counts, detector efficiency, timing, and uncertainty matter.
Repeated exact halvings show remaining and decayed counts. 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 half-life leaves forty
Starting count 80 after 1 exact half-life step leaves 40 and decays 40.
80÷2=40
Two half-lives leave twenty
Starting count 80 after 2 exact half-life steps leaves 20 and decays 60.
80÷4=20
Three half-lives leave ten
Starting count 80 after 3 exact half-life steps leaves 10 and decays 70.