Scientific Notation Multiplication Game
To multiply numbers in scientific notation, first multiply the decimal parts (coefficients) of the numbers, and then add the exponents of the powers of 10. If the resulting coefficient is not a number between 1 and 10, adjust it by moving the decimal point and changing the exponent accordingly to put the final answer in proper scientific notation. Scroll down the page for a more detailed explanation.
 
This game should provide you with the practice you need to confidently multiply numbers in scientific notation. The coefficients are either whole numbers or have a single decimal place. This is a great way to practice the fundamentals of multiplying scientific notation. If you give a wrong answer, the game will provide the correct answer.
 

Scientific Notation Multiplication

Find the product and write it in proper scientific notation.

Enable 60-Second Timer

Start Game

Score: 0 / 0

Time: 60

Find the product:

Answer:

× 10

Check Next

Back to Menu

 

How to Play the Scientific Notation Multiplication Game
The game will challenge you to multiply scientific notation numbers.
Here’s how to play:

1. Timed Option: Check the timer if you want to enable the 60 second timer. Click “Start Game”.
   
2. Look at the Problem: You’ll be given two scientific notation numbers. Multiply them.
   
3. Enter Your Answer: Enter in the result. (The answer needs to be in scientific notation).
   
4. Check Your Work: Click the Check button (or press the Enter key). The game will tell you if you’re correct. If you are wrong, you will be shown the correct answer.
   
5. Get a New Problem: Click the Next button for a new problem.
   Your score is tracked at the top, showing how many you’ve gotten right out of the total you’ve tried.
   
6. Back to Menu Click “Back to Menu” to restart the game.
    
   

How to multiply scientific notation numbers
The process has two simple parts: one for the coefficients and one for the exponents.
Multiply Scientific Notation Numbers
Here’s the step-by-step method for multiplying two numbers in scientific notation, such as (a×10ⁿ)×(b×10^m)
Step 1: Multiply the Coefficients
The first step is to multiply the coefficients (the numbers in front of the powers of 10) just as you would any other numbers.
 
Example: Let’s multiply (2.5×10³)×(4.0×10⁵).
Multiply the coefficients: 2.5×4.0=10.
The result is 10×10^?.
 
Step 2: Add the Exponents
The second step is to add the exponents of the powers of 10. This is a special rule for exponents that works when you’re multiplying terms with the same base.
Using our example:
Add the exponents: 3+5=8.
The result so far is 10×10⁸.
 
The Final Step: Normalizing the Answer
The final answer must be in proper scientific notation, which means the coefficient must be a number between 1 and 10 (and can include 1 but not 10).
 
Our result from Step 2, 10×10⁸, is not in proper scientific notation because the coefficient, 10, is not between 1 and 10. To fix this, you need to normalize it.
 
To change 10 to 1.0 (a number between 1 and 10), you must move the decimal one place to the left. When you move the decimal to the left, you must increase the exponent by the same number of places.
Move the decimal: 10→1.0.
Increase the exponent: 8→9.
 
So, the final normalized answer is 1.0×10⁹.
 

Summary of Rules
Coefficients: Multiply them normally.
Exponents: Add them together.
Normalize: Adjust the decimal point and exponent at the end if necessary.
 

This video gives a clear, step-by-step approach to multiply scientific notation numbers.

• Show Video

 

Scientific Notation Games
Scientific Notation Converter	Add/Subtract Scientific Notation	Scientific Notation Multiplication
Scientific Notation Division

 

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