Scientific Notation
Metric Notation
Metric Prefix Conversions
Arithmetic with scientific notation
Bonus Points
100
What is the following exponential expressions in expanded form: 10^2?
100
100
What is the major difference between scientific notation and metric notation?
The primary difference is that the powers-of-ten are represented with alphabetical prefixes instead of by literal powers-of-ten.
100
To express a quantity in a different metric prefix that what it was originally given, all we need to do is skip the decimal point to the ___ or to the ___ as needed.
Right OR Left
100
The benefits of scientific notation do not end with ease of writing and expression of accuracy. Such notation also lends itself well to mathematical problems of _________ and ______.
Multiplication and Division
100
In many disciplines of science and engineering, very ___ and very ____ numerical quantities must be managed. Some of these quantities are mind-boggling in their ___, either extremely ____ or extremely ____.
Large, Small, Size, Small, Large
200
What is the following exponential expressions in expanded form: 1x10^6?
1,000,000
200
what one is metric notation? 2.67 x 10-4 grams or 267 µgrams
267 µgrams
200
express 0.000023 amps in terms of microamps.
0.000023 amps = 23. , or 23 microamps (µA)
200
Let's say we wanted to know how many electrons would flow past a point in a circuit carrying 1 amp of electric current in 25 seconds. If we know the number of electrons per second in the circuit (which we do), then all we need to do is multiply that quantity by the number of seconds (25) to arrive at an answer of total electrons:
6,250,000,000,000,000,000 electrons per second) x (25 seconds)
200
In like manner, numbers with many zero digits are not necessarily representative of a real-world quantity all the way to the decimal point. When this is known to be the case, such a number can be written in a kind of mathematical "shorthand" to make it easier to deal with. This "shorthand" is called ___________.
Scientific Notation
300
What is the following exponential expression solved?: 8^4
4096
300
how would you write: 3.21 picoamps metric notation?
3.21 x 10-12
300
express 304,212 volts in terms of kilovolts.
304,212. = 304.212 kilovolts (kV)
300
56,250,000,000,000,000,000 electrons passing by in 25 seconds Using scientific notation, we can write the problem like this:
(6.25 x 1018 electrons per second) x (25 seconds)
300
1 amp = 6,250,000,000,000,000,000 electrons per second using scientific notation can be expressed as . . .
1 amp = 6.25 x 1018 electrons per second
400
What is the following exponential expression solved?: 7^3
343
400
complete the index: 8.3 ×1018 g =
8.3 ×1018 g = 8.3 Eg
400
express 50.3 Mega-ohms in terms of milli-ohms.
50.3 M ohms (mega = 106) 50.3 M ohms = 50,300,000,000 milli-ohms (mΩ)
400
6.25 x 1018 electrons per second) x (25 seconds) If we take the "6.25" and multiply it by 25, we get 156.25. So, the answer could be written as:
156.25 x 1018 electrons
400
car weight = 3 x 103 pounds If the car actually weighed 3,005 pounds (accurate to the nearest pound) and we wanted to be able to express that full accuracy of measurement, the scientific notation figure could be written like this:
car weight = 3.005 x 103 pounds
500
What is The following equation solved?: 12^5/2
124416
500
How would you write 2.5 gigabytes in metric notation?
2.5 x 10^9
500
A number with no decimal point shown has an implicit decimal point to the immediate ____ of the furthest ____ digit (i.e. for the number 436 the decimal point is to the ___ of the 6, as such: 436.)
Right, Right, Right
500
1.5625 x 1020 electrons What if we wanted to see how many electrons would pass by in 3,600 seconds (1 hour)? To make our job easier, put the time in scientific notation as well:
(6.25 x 1018 electrons per second) x (3.6 x 103 seconds)
500
if we recognize that 10-3 is the same as the metric prefix "milli," we could write the figure as -4.8 milliamps, or
-4.8 mA. So simple its hard.
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