Scientific Notation Calculator

Try out our scientific notation calculator to convert the large numbers and changes it into the scientific notation, engineering notation or standard form.

Please wait... loading-icon

Table of Contents:

Introduction to Scientific Notation Calculator

Scientific notation calculator is an online tool that helps you convert large numbers as a multiplied exponential power of 10 in a few seconds. Our tool evaluates the bigger number and changes it into scientific notation engineering notation or standard form.

Scientific Notation Calculator with Steps

This tool is very useful for scientists, researchers, or students who do research work and want a tool like our scientific notation converter that can easily change bigger numbers into scientific notation.

What is Scientific Notation?

Scientific notation is a method that is used to express numbers that are large or small and convert them into a scientific notation where a number is written as the product of a coefficient with an exponential power of 10.

The number that is greater than or equal to 1 or less than 10 becomes the coefficient; the remaining number is represented in the exponent power of 10. If a number is positive, then it is a large number if a number is negative, then the number is small.

For example, 123,000 can be written in scientific notation as 1.23×10^5 where 5 is the order of magnitude. You can use sci not calculator to solve the example by following the above steps.

How to Calculate Scientific Notation

For the calculation of scientific notation, we transform a number into a coefficient multiplied by the power of 10.

Let us understand the scientific notation calculation with the help of an example so that you can easily familiarize yourself with this concept in steps. These steps are:

  1. First, write the given number in a decimal number that is originally present between 1 and 10 or equal to 10, and put the decimal point to the left number that is present before the last digit.
  2. Then count the number of places in which you moved the decimal point. It will become an exponent of power.
  3. If you move the decimal point to the left side, then the exponent power is positive. If you move it to the right side by placing the number, the exponent is negative.
  4. Now write the coefficient that has power "× 10^". If the exponent is positive, use the positive sign (+) "× 10^" 1. If it's negative, use the negative sign (-) "× 10^-1".

For example: If the decimal point of the number 0.00234 is moved to the right then it can be written in scientific notation as 2.34×10^−3. In the same way, if you put the decimal point of the number to the left as 5.40,000 then it can be written in scientific notation as 5.4×10^5.

Solved Example of Scientific Notation

An example of a scientific notation problem along with its solution is given to understand the manual calculations. As our exponential notation calculator can solve such problems easily but it is important to know the manual way as well.

Example:

Convert 8589537 numbers in scientific notation?

Solution:

To convert 8589537 into scientific notation, we need to move the decimal point to the right in the last digit, the original number that becomes its exponential power.

$$ =\;8.589537 \times 10^{6} (Scientific\; Notation) $$

$$=\; 8.589537e6 (Scientific\; e\; Notation)$$

$$ =\; 8.589537 \times 10^6 (Engineering\;Notation) $$

$$ Standard\; Form \;=\; 8.589537 \times 10^6 $$

$$ Order\; of\; Magnitude \;=\; 6 $$

Example:

Convert 1007996550 in scientific notation.

Solution: To change 100799550 into scientific notation, put the decimal point to the right until we have got a number between 1 and 10. The number of places we move the decimal point determines its exponent power.

$$ Scientific\; Notation \;=\; 1.00799655 \times 10^9 $$

$$ Scientific\; e \; Notation \;=\; 1.00799655e9 $$

$$ Engineering\; Notation \;=\; 1.00799655 \times 10^9 $$

$$ Standard\; Form \;=\; 1.00799655 \times 10^9 $$

$$ Order\; of\; Magnitude \;=\; 9 $$

Example:

Convert 127.5 in scientific notation?

Solution: To convert 127.5 into scientific notation, put the decimal point to the right until we have a number between 1 and 10 to make it exponential power.

$$ Scientific\; Notation \;=\; 1.275 \times 10^2 $$

$$ Scientific\;e\; Notation \;=\; 1.275e2 $$

$$ Engineering\; Notation \;=\; 127.5 \times 10^0 $$

$$ Standard\; Form \;=\; 1.275 \times 10^2 $$

$$ Order\;of\;Magnitude \;=\; 2 $$

How to Use Scientific Notation Converter

Scientific notation Calculator has the simplest design that enables you to calculate the larger number into a scientific notation instantly. Follow some of our guidelines before you use it and you get an amazing experience every time. These steps are:

  • Enter any type of number in the input field.
  • Review your number before clicking on the calculate button so that you get the exact solution without any mistakes in the calculation process.
  • Click on the “Calculate” button to get the solution to the scientific notation problem.
  • Click on the “Recalculate” button to get a new page for more evaluation of the scientific notation questions
  • If you want to check the accuracy of the solution for scientific notation problem then you should first try out the load example and get an accurate solution every time.

Final Result of Scientific Notation Calculator

Calculator scientific notation with steps gives you a solution to your given number value problem after you click on the calculated button. It may include the following:

  • Result Option:

The result option provides you with solutions for scientific notation problems

  • Possible Steps:

Possible steps provide you with solutions of scientific notation calculation in a step-wise process

Useful Features of Exponential Notation Calculator

Scientificnotation calculator has many useful features that provide you with tons of benefits whenever you use it to calculate the given numbers problems into scientific notation.

These benefits make our dividing calculator unique and attractive so that everyone can use it for better learning about scientific notation concepts.

Time-Saving

Our sci not calculator saves the time and energy that you consume while transforming large numbers into small numbers manually.

Handy Tool

Our scientific notation converter is so handy as it can be operated through a computer, laptop, or mobile for scientific notation problems.

User-Friendly Tool

It has a user-friendly interface so that you can solve scientific notation number problems easily.

Accurate Result

It provides you with accurate results as per your given input numbers for scientific notation numbers problems every time.

Educational Tool

Scientific notation calculator with steps is an educational tool that gives you solutions in the step-by-step method through which you can easily learn the concept of the scientific notation problem.

Related References
Frequently Ask Questions

How to find the scientific notation 3 120 000 000?

To express the number 3,120,000,000 in scientific notation, we need to write it as the multiple of a coefficient between 1 and 10 and a power of 10. It starts with the number 3,120,000,000 and then moves the decimal point to the left. The number of places you move the decimal point is determined by the exponent.

$$ 3,120,000,000 \;=\; 3.12 \times 10^9 $$

So, 3,120,000,000 in scientific notation is 3.12 × 109.

$$ =\; 3.12 \times 10^9\; (Scientific\; Notation) $$

$$ =\; 3.12e9\; (Scientific\; e\; notation) $$

$$ =\; 3.12 \times 10^9\; (Engineering\; Notation) $$

$$ 9\; (Order\; of\; Magnitude) $$

How to find scientific notation with negative exponents?

Scientific notation with negative exponents is used to represent very small numbers. To express a number in scientific notation with a negative exponent, follow these steps:

  1. Write the coefficient of the number as a decimal between 1 and 10.
  2. The exponent represents the power of 10 needed to obtain the original number order of magnitude.
  3. Combine the coefficient and exponent using the multiplication symbol to convert into a Scientific Notation:
  4. If the exponent is negative, it indicates that the number is less than 1.

How to find sig figs scientific notation?

To determine the significant figures (sig figs) in a number in scientific notation. You should follow these guidelines to get accurate results for your given number.

  1. Identify the Coefficient of the original number is between 1 and 10.
  2. Count the significant figures in the coefficient in which all non-zero digits and any zeros between non-zero digits.
  3. The exponent indicates the order magnitude of the number, although it does not affect the significant figures of a number.
  4. The significant figures in scientific notation are determined by the coefficient, not the exponent.

How to find the quotient of scientific notation?

To find the quotient of two numbers in a scientific notation, you can follow these steps:

  1. Divide the numbers before the multiplication symbol which is the coefficient of the two scientific notation expressions.
  2. Then subtract the exponent power of 10 from the dividend exponent power 10.
  3. If necessary then adjust the number so that it is between 1 and 10, but keep the exponent the same.

Let's see the quotient of scientific notation problem with an example. Suppose we want to find the quotient then

$$ 3 \times 10^5\; divided\; by\; 6 \times 10^2 $$

Again divide the coefficients as 3 ÷ 6 = 0.5 and subtract the exponents 5 − 2 = 3. Lastly, combine the coefficient and the exponent result 0.5 × 103. So, the quotient of 3 × 105 divided by 6 × 102 is 0.5 × 103.

What is 7200000 in scientific notation?

For the calculation of a given number 7,200,000 in scientific notation, we need to represent it as the product of a coefficient between 1 and 10 and a power of 10. The decimal point determines the exponent.

$$ 7,200,000 \;=\; 7.2 \times 10^6 $$

So, 7,200,000 in scientific notation is 7.2 × 106.

$$ =\; 7.2 \times 10^6\; (Scientific\; Notation) $$

$$ =\; 7.2e6\; (Scientific\; e\; Notation) $$

$$ =\; 7.2 \times 10^6\; (Engineering\; notation) $$

$$ =\; 7.2 \times 10^6 (Standard\; Form) $$

$$ 6 \;(Order\; of\; Magnitude) $$

What is 287000000000 in scientific notation?

To express 287,000,000,000 in scientific notation, we want to represent the original number into decimal numbers to get its exponential power. For this write the given number 287,000,000,000. We moved the decimal point to the left counted the number of places and moved the decimal point.

$$ 287,000,000,000 \;=\; 2.87 \times 10^11 $$

So, 287,000,000,000 in scientific notation is 2.87 × 1011.

$$ =\; 2.87 \times 10^11 (Scientific\; Notation) $$

$$ =\; 2.87e11\; (Scientific\; e\; Notation) $$

$$ =\; 287 \times 10^9\; (Engineering\; Notation) $$

$$ =\; 2.87 \times 10^11\; (Standard\; Form) $$

$$ 11\; (Order\; of\; Magnitude) $$

Is This Tool Helpful