Decimal to E-notation Calculator

Understanding Decimal to E-notation Conversion

What is E-notation?

E-notation, also known as scientific notation, is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is widely used in science, engineering, and mathematics to represent very large or very small numbers efficiently.

Formula for E-notation

The general form of E-notation is:

\[a \times 10^n\]

Where:

• \(a\) is a number greater than or equal to 1 and less than 10
• \(n\) is an integer (positive, negative, or zero)

Converting Decimal to E-notation

To convert a decimal to E-notation, follow these steps:

1. Move the decimal point to the right of the first non-zero digit.
2. Count the number of places the decimal point was moved.
3. Write the number in the form \(a \times 10^n\), where \(a\) is the number with the decimal point after the first digit, and \(n\) is the number of places the decimal point was moved.

Calculation Steps

Let's convert 123456.789 to E-notation:

1. Move the decimal point 5 places to the left:

   1.23456789 × 10^5

2. Round to the desired number of decimal places (let's say 2):

   1.23 × 10^5

Example with Visual Representation

Let's visualize 123456.789 in E-notation:

This diagram shows 123456.789 expressed in E-notation as 1.23 × 10^5.