The scientific notation calculator is used to add, subtract, multiply, and divide two scientific notation numbers.

- Firstly, input the coefficient and exponent values for the first and second numbers.
- Select the arithmetic operation that you want to perform between two numbers. The tool supports addition, subtraction, multiplication, and division.
- After inputting all the values, press the 'Calculate' button.
- The tool returns the scientific notation, E notation, and decimal notation results on your screen.
- For the new calculations, press the 'Reset' button. It will make all the fields empty.

The scientific notation is used to express very large or small numbers in a simple form. It makes the numbers easier to read, compare, and work with. It uses the powers of ten to simplify the numbers.

The general form of a number in scientific notation is:

**b × 10 ^{n}**

Where,

b = Coefficient,

n = Exponent.

The scientific notations are widely used in the science, mathematics, physics, chemistry, engineering, and many more fields.

The speed of the light is **299792458 m/s**.

It's hard to remember and complex for the math calculations.

So, it can be written in scientific notation as **2.99 × 10 ^{8} m/s**.

Let's learn how to perform basic arithmetic calculations with scientific notation.

The exponent values must be the same to perform addition or subtraction in scientific notation. If it's not, adjust any one number.

( 3 × 10^{5} ) + ( 0.5 × 10^{6} )

First, make the exponent same for both values.

So, convert **0.5 × 10 ^{6}** to

Now, add the coefficients and combine the results.

**( 3 × 10 ^{5} ) + ( 5 × 10^{5} ) = 8 × 10^{5}**.

Let's take an example of subtraction.

( 6 × 10^{4} ) - ( 2 × 10^{5} )

**2 × 10 ^{5}** can be written as

Now, the exponents are the same for both values. So, subtract the coefficients and combine the results.

**( 6 × 10 ^{4} ) - ( 20 × 10^{4} ) = -14 × 10^{4}**

**= -1.4 × 10 ^{5}**

In multiplication, multiply the coefficient values and add the exponents.

( a × 10^{m} ) × ( b × 10^{n} ) = ( a × b ) × 10 ^{m + n}

Let's take an example.

( 5.4 × 10^{7} ) × ( 8.7 × 10^{5} )

1. Multiply the coefficients: **5.4 × 8.7 = 46.98**

2. Add the exponents: **7 + 5 = 12**

3. Combine the results: **46.98 × 10 ^{12}**

Also, it can be written as: **4.698 × 10 ^{13}**.

In division, divide the coefficients and subtract the exponents.

( a × 10^{m} ) / ( b × 10^{n} )

= ( a / b ) × 10 ^{m - n}

( 24 × 10^{6} ) / ( 3 × 10^{2} )

1. Divide the coefficient values: **24 / 3 = 8**.

2. Subtract the exponents: **6 - 2 = 4**.

So, the final result is **8 × 10 ^{4}**.