Module lessons (3/4)
Numbers and Math
In JavaScript there is only one numeric type: number. Both integers
and decimals (floating point) live in there. No separate int / float
like in other languages.
typeof 42; // 'number'
typeof 3.14; // 'number'
typeof -0.001; // 'number'
typeof Infinity; // 'number' ← Infinity is a special number
typeof NaN; // 'number' ← even "Not a Number" is a number (!)The global Math object
Math is not a function: it is an object with useful methods and
constants. You don't instantiate it, you use it directly:
Math.min(3, 1, 7); // 1
Math.max(3, 1, 7); // 7
Math.abs(-5); // 5
Math.round(4.5); // 5
Math.floor(4.9); // 4 (always rounds down)
Math.ceil(4.1); // 5 (always rounds up)
Math.sqrt(16); // 4
Math.pow(2, 10); // 1024 (equivalent to 2 ** 10)
Math.PI; // 3.141592653589793Random numbers
Math.random() returns a decimal between 0 (included) and 1 (excluded).
To get an integer in a range you use a small formula:
// Random integer between 0 and 9
Math.floor(Math.random() * 10);
// Random integer between 1 and 6 (a six-sided die)
Math.floor(Math.random() * 6) + 1;The pains of decimals (floating point)
JS uses the IEEE-754 64-bit representation, shared with almost all languages. It is a binary representation, so some decimals can't be represented exactly:
0.1 + 0.2; // 0.30000000000000004 (!)
0.1 + 0.2 === 0.3; // falseStandard solution: round with toFixed(n) (which returns a string) or
use integers in cents/thousandths when working with money:
(0.1 + 0.2).toFixed(2); // '0.30' (string)
Number((0.1 + 0.2).toFixed(2)); // 0.3 (number)Try it
Compute the area of a circle with radius `r = 5` rounded to two decimal places, as a `number`. For `r=5` 78.54 is expected.
Show hint
Math.PI for pi, ** for exponentiation; .toFixed(2) to round, Number(...) to convert back to a number.
Solution available after 3 attempts
Review exercise
Given three numbers 12, 7, 23, return as the last expression the difference between the max and the min (i.e. 16).
Show hint
Math.max and Math.min accept multiple comma-separated arguments.
Solution available after 3 attempts