New file EPSILON.md

content/javascript/concepts/number-methods/terms/EPSILON/EPSILON.md

@@ -0,0 +1,75 @@
+---
+Title: '.EPSILON'
+Description: 'Static property that defines the smallest positive difference between 1 and the next representable floating-point number in JavaScript.'
+Subjects:
+  - 'Computer Science'
+  - 'Web Development'
+Tags:
+  - 'JavaScript'
+  - 'Numbers'
+  - 'Properties'
+CatalogContent:
+  - 'introduction-to-javascript'
+  - 'paths/front-end-engineer-career-path'
+---
+
+The **`.EPSILON`** property is a static member of the `Number` object in JavaScript. It represents the smallest difference between 1 and the next larger floating-point number, making it useful for handling floating-point precision and comparison in JavaScript.
+
+## Syntax
+
+```pseudo
+Number.EPSILON;
+```
+
+**Parameters:**
+
+- `Number.EPSILON` is a static constant and does not take any arguments.
+
+**Return value:**
+
+Returns a constant value representing the smallest difference between 1 and the next greater representable floating-point number. The exact value is approximately:
+
+```js
+2.220446049250313e-16
+```
+
+## Examples
+
+In this example, `Number.EPSILON` is used to check if two floating-point numbers are nearly equal by comparing the difference to a very small threshold:
+
+```js
+function isEqual(a, b) {
+  return Math.abs(a - b) < Number.EPSILON;
+}
+
+console.log(isEqual(0.1 + 0.2, 0.3));
+```
+
+The output for this code is:
+
+```shell
+true
+```
+
+In the example above, `Number.EPSILON` is used as a threshold to handle floating-point precision issues. The function compares the absolute difference between two numbers and returns `true` if that difference is smaller than `Number.EPSILON`, treating them as effectively equal. This helps avoid unexpected results when comparing decimal values like `0.1 + 0.2` and `0.3`.
+
+## Codebyte Example
+
+This example checks if the total cost of items matches the expected amount, accounting for floating-point precision:
+
+```codebyte/javascript
+function isEqual(a, b) {
+  return Math.abs(a - b) < Number.EPSILON;
+}
+
+const item1 = 0.1;
+const item2 = 0.2;
+const item3 = 0.3;
+
+const total = item1 + item2 + item3;
+const expectedTotal = 0.6;
+
+console.log("Is total correct?", isEqual(total, expectedTotal));
+```
+
+The `isEqual()` function checks if two numbers are nearly equal using `Number.EPSILON`. This handles minor floating-point differences in the calculated total.