eaming Goal: o convert between metric units expressing length, area, and volume. Converting squared units When converting areas, you must be careful to properly square the units to produce the correct ratio. Think of mm? as (mm) = (mm) - (mm). That is to say, think of this as a pair of millimeter units, each of which must be converted separately. To convert 130 mm² to square meters, you would use the following calculation: he ability to convert from one system of units to another is important in hemistry. It is often impractical to measure quantities in the standard reters, kilograms, and seconds, but the laws of science that you learn will volve constants that are defined in these units. Therefore, you may often ave to convert your measured quantities into different metric units. he following table lists metric prefixes that come up frequently in hemistry. Learning these prefixes will help you in the various exercises. 2 to: 130 mm2. (Im . (Im 1000 mm/ 1m 1000 mm) = 130 mm² . 10 m Notice that the exponent distributes to both the numbers and the units: mega- (M) x10° 1 m 130 mm?. 130 mm? . kilo- (k) x10 10 m 10 mm? centi- (c) x 10-2 Now the mm will cancel properly: milli- (m) x 10 3 130 am I m? 1.30 x 10 4m? micro- (A) x10- 10 utt nano- (n) x10 Part B Suppose that, from measurements in a microscope, you determine that a certain bacterium covers an area of 1.50 pm?. Convert this to square meters. Express your answer in square meters. • View Available Hint(s) Templates Symtols undo' redo feset keyboard shortcuts Help

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Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 48E: Although the preferred SI unit of area is the square meter, land is often measured in the metric...
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Leaming Goal:
To convert between metric units expressing length, area, and volume.
Converting squared units
When converting areas, you must be careful to properly square the units to produce the correct ratio. Think of mm? as (mm)? = (mm) - (mm). That is to say, think of this as a
pair of millimeter units, each of which must be converted separately. To convert 130 mm? to square meters, you would use the following calculation:
The ability to convert from one system of units to another is important in
chemistry. It is often impractical to measure quantities in the standard
meters, kilograms, and seconds, but the laws of science that you learn will
involve constants that are defined in these units. Therefore, you may often
have to convert your measured quantities into different metric units.
The following table lists metric prefixes that come up frequently in
chemistry. Learning these prefixes will help you in the various exercises.
2
130 mm. 10 mm
130 mm? - (Tm mm- (1000 mm
1m
2
1m
Notice that the exponent distributes to both the numbers and the units:
mega- (M)
kilo- (k
x10°
2
1 m
1 m
130 mm? .
= 130 mm?.
х 10°
10 mm
centi- (c)
x 10-2
Now the mm" will cancel properly:
milli- (m)
x 10-3
130 Rm
I m
1.30 x 10 m?
micro- (A)
x 10-6
пano-(n)
x 10
Part B
Suppose that, from measurements in a microscope, you determine that a certain bacterium covers an area of 1.50 pm. Convert this to square meters.
Express your answer in square meters.
• View Available Hint(s)
Templates Symbols undo redo Teset keyboard shortcuts Help
1.50 um? =
Transcribed Image Text:Leaming Goal: To convert between metric units expressing length, area, and volume. Converting squared units When converting areas, you must be careful to properly square the units to produce the correct ratio. Think of mm? as (mm)? = (mm) - (mm). That is to say, think of this as a pair of millimeter units, each of which must be converted separately. To convert 130 mm? to square meters, you would use the following calculation: The ability to convert from one system of units to another is important in chemistry. It is often impractical to measure quantities in the standard meters, kilograms, and seconds, but the laws of science that you learn will involve constants that are defined in these units. Therefore, you may often have to convert your measured quantities into different metric units. The following table lists metric prefixes that come up frequently in chemistry. Learning these prefixes will help you in the various exercises. 2 130 mm. 10 mm 130 mm? - (Tm mm- (1000 mm 1m 2 1m Notice that the exponent distributes to both the numbers and the units: mega- (M) kilo- (k x10° 2 1 m 1 m 130 mm? . = 130 mm?. х 10° 10 mm centi- (c) x 10-2 Now the mm" will cancel properly: milli- (m) x 10-3 130 Rm I m 1.30 x 10 m? micro- (A) x 10-6 пano-(n) x 10 Part B Suppose that, from measurements in a microscope, you determine that a certain bacterium covers an area of 1.50 pm. Convert this to square meters. Express your answer in square meters. • View Available Hint(s) Templates Symbols undo redo Teset keyboard shortcuts Help 1.50 um? =
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