1. Multiply the Coefficients
* Multiply the numbers in front of the powers of ten (the "coefficients").
2. Multiply the Powers of Ten
* Keep the base (10) the same and add the exponents.
3. Adjust the Result (if necessary)
* If the product of the coefficients is greater than or equal to 10, you need to adjust the final exponent:
* Divide the coefficient by 10 and add 1 to the exponent.
* Repeat this process until the coefficient is between 1 and 10.
Example:
Let's multiply (3.5 x 10⁵) * (2.0 x 10³)
1. Multiply coefficients: 3.5 * 2.0 = 7.0
2. Multiply powers of ten: 10⁵ * 10³ = 10⁸
3. Combine results: 7.0 x 10⁸ (No adjustment needed since 7.0 is between 1 and 10)
Important Notes:
* Units: When multiplying numbers in scientific notation that represent physical quantities, remember to multiply the units as well.
* Significant Figures: Pay attention to significant figures in your original numbers and round your final answer accordingly.
Let me know if you'd like to practice with another example!
