Binding energy is taught as an exact before-minus-after ledger. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Binding energy is the missing rest budget

4 nucleons at 5 joules each make a free budget of 20 joules.

4×5=204\times5=20
Binding free budgetThe free-nucleon total is checked.nucleons=4free each=5 Jfree total=20 Jnucleus=17 Jbinding=3 Jper nucleon=3/4 J

Binding per nucleon stays fractional

The bound proxy is 17 joules, so binding is 3 joules, or three fourths of a joule per nucleon.

2017=33÷4=3420-17=3\quad 3\div4=\tfrac{3}{4}
Binding per nucleonThe fraction is exact, not a decimal.nucleons=4free each=5 Jfree total=20 Jnucleus=17 Jbinding=3 Jper nucleon=3/4 J