Math.round()

Summary

The Math.round() function returns the value of a number rounded to the nearest integer.

Syntax

Math.round(x) 

Parameters

x
A number.

Description

If the fractional portion of number is .5 or greater, the argument is rounded to the next higher integer. If the fractional portion of number is less than .5, the argument is rounded to the next lower integer.

Because round is a static method of Math, you always use it as Math.round(), rather than as a method of a Math object you created.

Examples

Example: Using Math.round

// Returns the value 20
x = Math.round(20.49);

// Returns the value 21
x = Math.round(20.5);

// Returns the value -20
x = Math.round(-20.5);

// Returns the value -21
x = Math.round(-20.51);

// Returns the value 1 (!)
// Note the rounding error because of inaccurate floating point arithmetics
// Compare this with Math.round10(1.005, -2) from the example below
x = Math.round(1.005*100)/100;

Example: Decimal rounding

// Closure
(function(){

	/**
	 * Decimal adjustment of a number.
	 *
	 * @param	{String}	type	The type of adjustment.
	 * @param	{Number}	value	The number.
	 * @param	{Integer}	exp		The exponent (the 10 logarithm of the adjustment base).
	 * @returns	{Number}			The adjusted value.
	 */
	function decimalAdjust(type, value, exp) {
		// If the exp is undefined or zero...
		if (typeof exp === 'undefined' || +exp === 0) {
			return Math[type](value);
		}
		value = +value;
		exp = +exp;
		// If the value is not a number or the exp is not an integer...
		if (isNaN(value) || !(typeof exp === 'number' && exp % 1 === 0)) {
			return NaN;
		}
		// Shift
		value = value.toString().split('e');
		value = Math[type](+(value[0] + 'e' + (value[1] ? (+value[1] - exp) : -exp)));
		// Shift back
		value = value.toString().split('e');
		return +(value[0] + 'e' + (value[1] ? (+value[1] + exp) : exp));
	}

	// Decimal round
	if (!Math.round10) {
		Math.round10 = function(value, exp) {
			return decimalAdjust('round', value, exp);
		};
	}
	// Decimal floor
	if (!Math.floor10) {
		Math.floor10 = function(value, exp) {
			return decimalAdjust('floor', value, exp);
		};
	}
	// Decimal ceil
	if (!Math.ceil10) {
		Math.ceil10 = function(value, exp) {
			return decimalAdjust('ceil', value, exp);
		};
	}

})();

// Round
Math.round10(55.55, -1); // 55.6
Math.round10(55.549, -1); // 55.5
Math.round10(55, 1); // 60
Math.round10(54.9, 1); // 50
Math.round10(-55.55, -1); // -55.5
Math.round10(-55.551, -1); // -55.6
Math.round10(-55, 1); // -50
Math.round10(-55.1, 1); // -60
Math.round10(1.005, -2); // 1.01 -- compare this with Math.round(1.005*100)/100 above
// Floor
Math.floor10(55.59, -1); // 55.5
Math.floor10(59, 1); // 50
Math.floor10(-55.51, -1); // -55.6
Math.floor10(-51, 1); // -60
// Ceil
Math.ceil10(55.51, -1); // 55.6
Math.ceil10(51, 1); // 60
Math.ceil10(-55.59, -1); // -55.5
Math.ceil10(-59, 1); // -50

Specifications

Specification Status Comment
ECMAScript 1st Edition. Implemented in JavaScript 1.0. Standard Initial definition.
ECMAScript Language Specification 5.1th Edition (ECMA-262) Standard  
ECMAScript Language Specification 6th Edition (ECMA-262) Draft  

Browser compatibility

Feature Chrome Firefox (Gecko) Internet Explorer Opera Safari (WebKit)
Basic support (Yes) (Yes) (Yes) (Yes) (Yes)
Feature Android Firefox Mobile (Gecko) IE Phone Opera Mobile Safari Mobile
Basic support (Yes) (Yes) (Yes) (Yes) (Yes)

See also

Document Tags and Contributors

Last updated by: ujay68,