Multiplying numbers in scientific notation follows a straightforward process. Here’s a step-by-step guide:
Step 1: Write the numbers in scientific notation
Ensure both numbers are in the proper scientific notation format. This means the number is written as , where:
- is a number between 1 and 10 (a decimal).
- is an integer (the exponent of 10).
Example:
- and .
Step 2: Multiply the decimal parts
Multiply the coefficients (the numbers in front of the ).
Step 3: Add the exponents
Add the exponents of 10. When multiplying, you add the exponents.
Step 4: Combine the results
Now, combine the product of the decimal parts and the result of the exponent addition.
Step 5: Adjust the result if needed
If the coefficient (the decimal part) is not between 1 and 10, adjust it:
- If you move the decimal point to the left the number gets smaller and the exponents needs to get larger. You will add to the exponent the number of places you move the decimal.
- If you move the decimal point to the left the number gets larger and the exponents needs to get smaller. You will add to the exponent the number of places you move the decimal.
Please check out our YOUTUBE channel. We have created 3200 videos, have had 170 million views, and have 530,000 subscribers.