Scientific Notation Calculator

Scientific notation Calculator helps to express a given number using scientific notations. Scientific notations provide us with a way of expressing very large or very small numbers easily. It makes use of the decimal form as well as powers of 10 to represent the number.

What is a Scientific Notation Calculator?

Scientific Notation Calculator is an online tool that helps to calculate the scientific notation of a given number by using decimals as well as powers of 10. If the number is very large the exponent (or power of 10) is positive. However, if we have a small number the power of 10 is negative. To use this scientific notation calculator, enter the value in the input box.

Scientific Notation Calculator

How to Use Scientific Notation Calculator?

Please follow the steps to calculate the scientific notation using the online scientific notation calculator:

• Step 1: Go to online Scientific Notation Calculator.
• Step 2: Enter the number in the input box of the Scientific Notation Calculator.
• Step 3: Click on the "Calculate" button to find the scientific notation.
• Step 4: Click on the "Reset" button to clear the fields and enter new values.

How Does Scientific Notation Calculator Work?

A very large or small number can be expressed by using scientific notations. However, some rules need to be followed in order to use scientific notation. These are given as follows:

• Rule 1: Suppose we have a large number that is greater than 1. We then move the decimal point to the left and the power of 10 is positive.
• Rule 2: Suppose we have a small number that is lesser than 1. The decimal point is shifted to the right and the power of 10 is negative.

Given below are the steps to represent a number using scientific notation.

1. The decimal point needs to be moved until there is only one non-zero digit to the left of the point. This number is denoted by c.
2. Now count the number of places the decimal point was moved. This is represented by n.
3. If the decimal was moved to the left n will be positive. This indicates the number is large.
4. If the decimal was moved to the right n will be negative. This shows that the number is small.
5. Now substitute these values in the formula c × 10ⁿ to get the scientific notation.

Solved Examples on Scientific Notation Calculator

Example 1:

Find scientific notation for 0.00748 and verify it using the scientific notation calculator.

Solution:

Move the decimal point to the right of 0.00748 up to 3 places.

c = 7.48

n = -3 (as decimal was moved to the right, hence, n is negative)

According to the formula: c × 10ⁿ

Therefore, the scientific notation for 0.00748 is 7.48 × 10^-3

Example 2:

Find scientific notation for 7485 and verify it using the scientific notation calculator.

Solution:

Move the decimal point to the left of 7485 up to 3 places.

c = 7.485

n = 3 (as decimal was moved to the left, hence, n is positive)

According to the formula: c × 10ⁿ

Therefore, the scientific notation for 7485 is 7.485 × 10³

Similarly, you can try the scientific notation calculator to find the scientific notation for the following:

• 5487
• 0.00459205

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