Standard Notation Calculator

Convert scientific notation to standard (decimal) notation and vice versa.

Enter Values

Result

Standard Notation
3,450,000
Scientific Notation3.45 x 10^6
E Notation3.45e6
Number of Digits7

Step-by-Step Solution

Understanding Standard Notation

Standard notation is the normal way of writing numbers without using exponents. Scientific notation, on the other hand, expresses numbers as a product of a coefficient (between 1 and 10) and a power of 10. Converting between these two forms is a fundamental skill in science and mathematics.

How to Convert Scientific to Standard Notation

Positive Exponent

Move the decimal point to the right by the exponent value. Add zeros as needed.

3.45 x 10^6 = 3,450,000

Negative Exponent

Move the decimal point to the left by the absolute value of the exponent. Add leading zeros.

2.7 x 10^-4 = 0.00027

Zero Exponent

Any number times 10^0 equals the coefficient itself since 10^0 = 1.

5.2 x 10^0 = 5.2

Practical Applications

Scientific notation is widely used in physics, chemistry, astronomy, and engineering to represent very large or very small numbers. For example, the speed of light is approximately 3 x 108 m/s, and an atom's diameter is about 1 x 10-10 meters.

Quick Tips

  • A positive exponent means a large number (move decimal right).
  • A negative exponent means a small number (move decimal left).
  • The coefficient should be between 1 (inclusive) and 10 (exclusive) in proper scientific notation.
  • E notation (e.g. 3.45e6) is commonly used in programming and calculators.