Standard Form Calculator
Convert numbers between standard form, scientific notation, and expanded form
Convert Number Forms
Enter any decimal number, including scientific notation
Common Examples
Very Large Numbers
Very Small Numbers
Standard Form Rules
Format: a x 10ⁿ
Where 1 ≤ a < 10 and n is an integer
Positive Exponent
Move decimal right (large numbers)
Negative Exponent
Move decimal left (small numbers)
Significant Figures
Preserved in coefficient
Number Types
Very Large ( n > 0)
Greater than 10
1.5 x 10⁶ = 1,500,000
Normal Range ( n = 0)
Between 1 and 10
5.5 x 10⁰ = 5.5
Very Small ( n < 0)
Less than 1
3.2 x 10⁻⁴ = 0.00032
Tips & Tricks
Count decimal places moved to find exponent
Moving right = positive exponent
Moving left = negative exponent
Keep significant figures in coefficient
Use for very large or very small numbers
Understanding Standard Form
What is Standard Form?
Standard form (also called scientific notation) is a way of writing very large or very small numbers in a compact form. It expresses numbers as a product of a coefficient between 1 and 10 and a power of 10.
General Formula
a = b x 10ⁿ
- a: The original number
- b: Coefficient ( 1 ≤ b < 10)
- n: Integer exponent
Why Use Standard Form?
- •Simplifies writing very large numbers
- •Makes very small numbers easier to read
- •Facilitates scientific calculations
- •Clearly shows significant figures
- •Enables easier comparison of magnitudes
Converting Steps
- Move decimal to create coefficient between 1 and 10
- Count decimal places moved
- Use count as exponent (positive for right, negative for left)
- Write in form b x 10ⁿ