Decimal Calculator

Floating-point numbers (like 0.1 + 0.2 ≠ 0.3) occur because computers store numbers in binary (base 2), and many decimal fractions can't be represented exactly in binary — similar to how 1/3 can't be written exactly in decimal. This is called floating-point error.

Simply divide the numerator by the denominator. 1/4 = 0.25, 1/3 ≈ 0.333... (repeating). Terminating decimals result from fractions whose denominators only have factors of 2 and 5. All other fractions produce repeating decimals.

Standard rounding: if the digit to be dropped is 5 or more, round up; if less than 5, round down. Floor always rounds down (toward negative infinity). Ceiling always rounds up (toward positive infinity). Truncation simply removes the extra digits without rounding.