# 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 Cuemath’s 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.

- 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.
- Now count the number of places the decimal point was moved. This is represented by n.
- If the decimal was moved to the left n will be positive. This indicates the number is large.
- If the decimal was moved to the right n will be negative. This shows that the number is small.
- Now substitute these values in the formula c × 10
^{n}to get the scientific notation.

## Solved Examples on Scientific Notation

**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 × 10^{n}

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 × 10^{n}

Therefore, the scientific notation for 7485 is 7.485 × 10^{3}

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

- 5487
- 0.00459205

**ā Math Calculators:**

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