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=4080\div2=40
Half-life scan rowStart and remaining bars are checked by count labels.startleftN0=80halves=1left=40decayed=40

Two half-lives leave twenty

Starting count 80 after 2 exact half-life steps leaves 20 and decays 60.

80÷4=2080\div4=20
Half-life scan rowStart and remaining bars are checked by count labels.startleftN0=80halves=2left=20decayed=60

Three half-lives leave ten

Starting count 80 after 3 exact half-life steps leaves 10 and decays 70.

80÷8=1080\div8=10
Half-life scan rowStart and remaining bars are checked by count labels.startleftN0=80halves=3left=10decayed=70