What happens to the order of magnitude if the multiplier in scientific notation is greater than 3.162?
Understand the Problem
The question is inquiring about the relationship between a multiplier in scientific notation and its impact on the order of magnitude. Specifically, it asks how the value of the multiplier greater than 3.162 affects the order of magnitude compared to the associated power of 10.
Answer
Order of magnitude increases by one.
If the multiplier in scientific notation is greater than 3.162, the order of magnitude increases by one, meaning the number rounds up to the next power of ten.
Answer for screen readers
If the multiplier in scientific notation is greater than 3.162, the order of magnitude increases by one, meaning the number rounds up to the next power of ten.
More Information
In scientific notation, the '3.162 rule' is used for determining when to round up the order of magnitude. The number 3.162 is approximately the square root of 10, and serves as a threshold for rounding up.
Tips
A common mistake is not recognizing that 3.162 is the threshold for rounding up. Another is confusing the multiplier with the power of ten.
Sources
- Order of magnitude - Wikipedia - en.wikipedia.org
- Solved order of magnitude - Chegg - chegg.com
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