Standard Form Converter

Our Standard Form Converter helps you quickly change any number into scientific notation (standard form) and back again. Perfect for handling very large or very small numbers in science and math homework.

Enter a number, e.g., 12345, 0.000067, or 1.23e-5

How it works

Our Standard Form Converter helps you quickly change any number into scientific notation (standard form) and back again. Perfect for handling very large or very small numbers in science and math homework.


The Formula
A number in standard form is written as a × 10^n, where 1 ≤ |a| < 10 and n is an integer. For example, 12,300,000 becomes 1.23 × 10^7, and 0.0000045 becomes 4.5 × 10^-6.

Worked Example
  1. Converting 5,670,000 to Standard Form

    To convert 5,670,000 to standard form, move the decimal point to the left until there is only one non-zero digit before it. The number becomes 5.67. You moved the decimal 6 places, so the exponent is 6. Thus, 5,670,000 = 5.67 × 10^6.


Tips, Assumptions & Limitations
  • Remember that a positive exponent means a large number, and a negative exponent means a small number (less than 1).
  • The 'a' part of a × 10^n must always be between 1 and 10 (but not including 10).
  • Use this tool to check your homework answers for scientific notation problems.
FAQ

Standard form, also known as scientific notation, is a way to write very large or very small numbers concisely. It expresses a number as a product of a number between 1 and 10 (the mantissa) and a power of 10 (the exponent).

Scientific notation simplifies calculations and makes it easier to compare extremely large or small numbers, which are common in fields like physics, chemistry, and astronomy. It avoids writing out many zeros, reducing errors and improving readability.

To convert a number to standard form: 1. Move the decimal point until there is only one non-zero digit to its left. 2. The number of places you moved the decimal becomes the exponent of 10. If you moved it left, the exponent is positive; if you moved it right, the exponent is negative. For example, 12,300 becomes 1.23 × 10^4, and 0.0045 becomes 4.5 × 10^-3.

Companion article

Standard Form & Scientific Notation: Your Complete Guide

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