The Formula and the Exact Factor
An avoirdupois ounce is exactly 28.349523125 grams, so ounces turn into grams when multiplied by that number. The factor carries no uncertainty of its own; any shortfall in a result comes from a shortened factor or early rounding.
For 8 oz the exact answer is 226.796185 g, which the calculator shows as 226.7962 g. In the last column, each difference is the shortened-factor result less 226.796185.
| Factor used | Result for 8 oz | Difference from exact (about) |
|---|---|---|
| 28 | 224 g | −2.7962 g |
| 28.3 | 226.4 g | −0.3962 g |
| 28.35 | 226.8 g | +0.0038 g |
| 28.3495 | 226.796 g | −0.0002 g |
| × 28.349523125 (exact factor) | 226.796185 g | none (exact) |
Worked Examples
Here the full 28.349523125 does the multiplying, and rounding happens once, at the end, half up, to four decimals, except where another precision is named.
A decimal value. 2.5 oz × 28.349523125 = 70.8738078125 g exactly, shown by the calculator as about 70.8738 g.
A larger value. 100 oz × 28.349523125 = 2834.9523125 g exactly. The calculator rounds that to 2834.9523 g.
Checking a result. Divide the grams by 28.349523125 to return to ounces: 226.7962 g ÷ 28.349523125 ≈ 8.000001 oz. The tiny gap from 8 comes from rounding 226.7962.
How Many Decimals to Keep
Four decimals appear in the result, though a printed label may need fewer. Here 8 oz is exactly 226.796185 g, and each error is the shortened figure less the exact figure.
| Decimals kept | Result | Error (about) |
|---|---|---|
| 4 | 226.7962 g | +0.00002 g |
| 1 | 226.8 g | +0.00382 g |
| 0 | 227 g | +0.20382 g |
Rounded grams are fine to report, but do not feed them into another calculation.
Common Mistakes
Dividing by the factor
Dividing by 28.349523125 turns grams into ounces. Applied to 8 it gives about 0.2822, far too small for a gram figure. An ounces-to-grams answer should be roughly 28 times larger than the ounces.
Rounding before checking back
Converting 226.8 g back to ounces gives about 8.00013 oz, and 227 g gives about 8.0072 oz. Each rounded step moves the result further from the 8 oz you began with.
Typing a short factor
Entering 28.3 in place of the full factor undershoots the answer before any rounding: the first table shows 226.4 g for 8 oz, about 0.4 g too low.