2/3/2024 0 Comments Power of ten for nanoWe want the next prefix going "downward" in a list of metric prefixes. Note that it is the closest prefix less than (or equal to) the exponent in the value in the problem.Įxample #3: Express 4.8 x 10¯ 5 Joules using a prefix. We need to convert our value in volts to the corresponding megavolt value: Solution: Examining a set of metric prefixes, we see that mega- (10 6) is the closest prefix, going in a "downward" direction. Using micro- and pico- both satisfy the exact wording of the problem, but they both fail the unstated part of having the numerical part be between 1 and 999.Įxample #2: Express 1 x 10 7 volts using a prefix. Notice that the numerical value is 1000 times greater than the correct answer If you selected pico- (the prefix after nano-), you get this: Note that the numerical value is 1000 times smaller than the correct answer. If you selected micro- (the prefix before nano-), this is the answer: Here's how (formatted two different ways, you need to be familiar with both): The correct answer to the above is 3.31 nm. Starting in example #11, I convert values that already have a prefix, we just need to go to another prefix so as to remove the exponent.Įxample #1: Express 3.31 x 10¯ 9 m using a prefix. By base unit, I mean one that does not have a prefix. The first ten examples are similar, in that the base unit is used (meters, liters, etc.) in the problem statement. (I am aware of metric prefixes that are not based on a factor of 100 (deci-, hecto-, etc. For example, milli- differs from micro- by a factor of 1000 or fermto- differs from nano- by a factor of 10 9 or 1000 million. You'll see that in the first example.īy the way, the rationale behind the 1-1000 thing is that metric exponents are separated from each other by some factor of 1000. Please keep in mind that this goal is often not explicitly stated in the problem. (You sometimes see it given as between 1 and 999.) You're going to a prefix that will cause the numerical portion to be greater than (or equal) to one and less than 1000. In other words, you're not going to change to any particular metric prefix specified in the problem. To have the numerical part be not less than 1 and not greater than (or equal to) 1000. Use appropriate metric prefixes to write the given measurement without use of exponents.Īnother way to describe the goal is this: The goal for the answer to every example in this section is this: Metric Conversions: No Exponents Allowed in the Answer Metric Conversions
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