Standard form: Learn how to convert between ordinary numbers

Learn how to convert between ordinary numbers and standard form, a way of writing very large or very small numbers by comparing the powers of ten. Find definitions, examples, worksheets and common misconceptions on standard form. A standard form is a form of writing a given mathematical concept like an equation, number, or an expression in a form that follows certain rules. Representing very large or very small numbers concisely, the standard form is used. For example, 4.5 billion years is written as 4,500,000,000 years. A number is said to be in standard form when it is expressed as k × 10n, where 'k' is a decimal number such that 1 ≤ k < 10, and 'n' is an integer (positive or negative). What is Standard Form? A Standard Form is a process of formulating a given mathematical concept such as number, equation, polynomial, etc. in the standard form by following certain basic rules. Standard Form of a Number The definition of the standard form of a number is representing the very large expanded number in a small number.