Scientific Notation Converter | Math Made Easy

Scientific notation is a compact way to write very large or very small numbers using powers of 10. It is commonly used in science, engineering, math, and computing. A Scientific Notation Converter helps you quickly convert numbers to and from scientific notation, including the standard “e” format (e.g., 2.5e+1).

Scientific Notation Formula

Any number can be written in scientific notation as:

N × 10ⁿ or N e±n

• N – coefficient between 1 and 10
• n – exponent of 10 (integer)

Step-by-Step Example 1: Large Number

Problem: Convert 45,000 to scientific notation.
Solution:
45,000 = 4.5 × 10⁴ = 4.5e+4

Step-by-Step Example 2: Small Number

Problem: Convert 0.0032 to scientific notation.
Solution:
0.0032 = 3.2 × 10^-3 = 3.2e-3

Step-by-Step Example 3: Back to Standard Form

Problem: Convert 6.7 × 10⁵ (6.7e+5) back to standard form.
Solution: 6.7e+5 = 670,000

How to Use the Converter

1. Enter the number you want to convert.
2. Select “To Scientific Notation” or “To Standard Form.”
3. The converter displays the result, including the standard “e” format (e.g., 2.5e+1).

FAQs

1. What is “e” in 2.5e+1?
“e” stands for “×10 to the power of,” so 2.5e+1 = 2.5 × 10¹ = 25.

2. Can I convert small numbers like 0.00047?
Yes, 0.00047 = 4.7 × 10⁻⁴ = 4.7e-4

3. Can this converter handle negative numbers?
Yes, for example, -0.005 = -5 × 10⁻³ = -5e-3

4. Is it suitable for programming?
Yes, the “e” format is compatible with calculators, spreadsheets, and programming languages like Python, C++, and JavaScript.

5. Do I need to know exponent rules?
No, the converter automatically applies powers of 10 and generates “e notation.”