Standard Notation Calculator

Convert numbers from scientific notation to standard form with proper formatting

Convert to Standard Notation

Supported formats:

  • Decimal: 123456.789
  • Exponential: 1.23e5 or 1.23E-3
  • Scientific: 1.23 × 10^5 or 1.23 × 10^-3

Number of significant digits to display (1-20)

Please enter a number to convert to standard notation

Example Conversions

Scientific to Standard

Input: 3.52 × 10^7

Step: Move decimal 7 places right

Result: 35,200,000

Negative Exponent

Input: 1.52 × 10^-5

Step: Move decimal 5 places left

Result: 0.0000152

Exponential Notation

Input: 4.5e3

Step: e3 means × 10^3

Result: 4,500

Large Number

Input: 123456789

Step: Add comma separators

Result: 123,456,789

Quick Reference

Standard Notation

Numbers written with commas as thousands separators and decimal points (e.g., 5,786.04)

Scientific Notation

Numbers written as a × 10^b where 1 ≤ a < 10 and b is an integer

Exponential Notation

Numbers written with 'e' or 'E' (e.g., 1.23e5 = 1.23 × 10^5)

Conversion Rules

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Positive Exponent: Move decimal right
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Negative Exponent: Move decimal left
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Fill Empty Spaces: Add zeros as needed
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Format Result: Add commas every three digits

Quick Tips

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Standard notation shows the actual value without exponents

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Use commas every three digits for readability

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Scientific notation is useful for very large or small numbers

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Both notations represent the same value

Understanding Standard Notation

What is Standard Notation?

Standard notation (or standard form) displays values with commas every three positions and a period as a decimal point, such as 5,786.04. The number has a regular place-value form with no multiplication signs or exponents.

Place Value

The value of each digit depends on its position. For example, in 2,698, the 2 has a value of 2 thousand, while in 3,412,000, the 3 represents 3 million.

Converting from Scientific Notation

Step 1: Identify Exponent

Find the power of 10 in the scientific notation

Step 2: Move Decimal

Move decimal point by the number of places indicated

Step 3: Add Zeros

Fill empty spaces with zeros as needed

Step 4: Format

Add commas for thousands separators

Powers of 10 Operations

Multiplication by Powers of 10:

Move the decimal point to the right by the same number of places as the exponent.

780 × 100 = 78,000

Division by Powers of 10:

Move the decimal point to the left by the same number of places as the exponent.

0.08 ÷ 1,000 = 0.00008