Standard Form Calculator The scientific notation calculator online for the conversion of the numbers to proper scientific format. Our online scientific notation converter allows you to turn numbers into scientific notation, e-notation, significant figures, engineering notation, and decimal notation.
What Is Scientific Notation?
It is the way of describing large or small numbers. When a number is between 1 and 10 and is multiplied by the power of 10 then a number is written in scientific notation.
Formula:
Scientific notation calculator uses a method in which we write real numbers into binary form. This binary is either too large or very small
Scientific notation formula = e * 10^n
Where:
- e is any number from 1 to 10
- n must be an integer
How To Evaluate The Scientific Notation?
The scientific notation calculator will take any decimal value and convert it to scientific notation. Take a look at the given examples below.
An electron mass is 0.000000000000000000000000000000910938356 kg.
9.11×10^31 kg
Earth's mass is about 5972400000000000000000000 kg.
5.97×10^24 kg
The monthly inflation rate of the Zimbabwean dollar reached 7.9 billion percent in 2008.
7.96×10^10 %
The number is in standard form 450000. Write it in Scientific notation.
4.50000 * 10^5
e notation = 4.5e + 5
In engineering notation, it belongs to prefix giga
Engineering notation = 450.0 * 10^3
The decimal notation of 450000 is 5.
Working of Scientific Notation Calculator:
The conversion of large or small numbers into scientific notation can be done in a few simple steps with the help of a standard notation calculator. Follow the below points.
Input:
- Put the number in the designed box
- Tap “Calculate”
Output:
Our scientific notation to standard form calculator will steps will give you the following results:
- Scientific notation
- Scientific e-notation
- Engineering notation
- Standard form
- Step-by-step calculations
Rules of Scientific Notation:
In an exponential notation calculator, numbers are displayed as “times ten raised to the power of” without the hustle of manual calculation.
There are the following rules which we consider at a time of scientific notation evaluation.
- The base should be always 10
- The exponent must be a non-zero digit
- Coefficients may be including the whole or decimal numbers
- The decimal must be in between the two non-zero numbers
Power Variation In Scientific Notation:
When the given number is larger than 1 then the decimal point is to move on the left which indicates the power of the 10 is positive.
When the given number is smaller than 1 then the decimal point is to move on the right side which indicates the power of the 10 is negative
FAQs:
What Is The Difference of Engineering Notation from Scientific Notation?
There are some similarities between the scientific and engineering notation but there are also some differences between both. The engineering notation has limited exponents (n) to the multiples of 3. In this, all the numbers are assigned in SI prefixes as you can read as such.
How Many Parts of Scientific Notation?
There are three main parts of scientific notation.
- Coefficient
- Base
- Exponent
Scientific Notation Table:
| 109 = | 1,000,000,000 | Giga (G) |
| 108 = | 100,000,000 | |
| 107 = | 10,000,000 | |
| 106 = | 1,000,000 | Mega (M) |
| 105 = | 100,000 | |
| 104 = | 10,000 | |
| 103 = | 1,000 | Kilo (K) |
| 102 = | 100 | |
| 101 = | 10 | |
| 100 = | 1 | |
| 10-1 = | 0.1 | |
| 10-2 = | centi (c) | 0.01 |
| 10-3 = | milli (m) | 0.001 |
| 10-4 = | 0.0001 | |
| 10-5 = | 0.00001 | |
| 10-6 = | micro (µ) | 0.000001 |
| 10-7 = | 0.0000001 | |
| 10-8 = | 0.00000001 | |
| 10-9 = | nano (n) | 0.000000001 |
References:
From the source Wikipedia: Scientific notation, Normalized notation, Engineering notation, Significant figures, E notation, Further examples of scientific notation.