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Truncate Number Calculator

Truncate Number Calculator

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This calculator simply cuts off the extra digits without rounding, e.g. 4.789 truncated to 2 decimal places is 4.78.

Truncating a number means simply cutting off every digit beyond a chosen point, without asking whether the discarded digits would normally round up or down. Enter a number and how many decimal places to keep, and this calculator chops off the rest cleanly, always producing a result no larger in magnitude than the original. This behavior — predictable and always rounding toward zero — is why truncation is common in programming and financial calculations where consistent, unambiguous cutoffs matter more than mathematical rounding.

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  • Truncation simply discards digits beyond the chosen position, unlike rounding, which considers the discarded digits to decide whether to round up or down.
  • Because it never rounds up, truncation always produces a result equal to or smaller in magnitude than the original, e.g. 4.789 truncated to 2 places is 4.78, even though standard rounding would give 4.79.
  • Truncation is common in programming and financial systems where consistently cutting off (rather than rounding) avoids ambiguity about which direction a value moves.

How is truncating different from rounding?

Rounding looks at the next digit to decide whether to round up or down, while truncating simply deletes every digit beyond the chosen decimal place, regardless of its value.

What is 4.789 truncated to 2 decimal places?

4.78 — the third decimal digit (9) is simply dropped, not used to round up.