Standard Form Calculator

Convert numbers to and from standard form (scientific notation).

Calculator

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Table of Contents

1 What is Standard Form?
2 How to Convert to Standard Form
3 Standard Form - Practical Examples
Definition

What is Standard Form?

Standard form (also known as scientific notation) is a way of writing very large or very small numbers in a more convenient format. A number in standard form is written as:

Formula:
a × 10^n
where:
  • a is a number between 1 and 10
  • n is an integer (positive or negative)
Steps

How to Convert to Standard Form

To convert a number to standard form:

  1. 1
    Move the decimal point to create a number between 1 and 10
  2. 2
    Count how many places you moved the decimal point
  3. 3
    Write the number as a × 10^n, where n is the number of places moved

For example, to convert 123.456 to standard form:

Example:
123.456 = 1.23456 × 10^2
Examples

Standard Form - Practical Examples

Example 1 Large Number

Convert 1234567 to standard form.

Result: 1.234567 × 10^6

Example 2 Small Number

Convert 0.00000456 to standard form.

Result: 4.56 × 10^-6

Example 3 Decimal Number

Convert 0.123456 to standard form.

Result: 1.23456 × 10^-1

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