Exercise 1.2 The Meaning of Indices In several exercises in this class you will be asked to calculate an index. An index is not a measurement of size. It tells us the ratio of two measurements. Such a ratio often provides us with a quantification of shape, such as the shape of the head. In this exercise you will take a series of measurements in the metric system on several geometric shapes and then calculate an index. 1. Using a metric ruler, measure the height and width of Box A in millimeters. 7 height width ? mm mm A 2 2. Calculate the height/width index of Box A using the following formula: (height/width) x 100 To eliminate the decimal point, multiply the proportion by 100. Thus an index of 1.13 becomes 113 and an index of 0.79 becomes 79. (In calculating indices, always round off the final number to the nearest whole number.) 3. Is this index a length?
Exercise 1.2 The Meaning of Indices In several exercises in this class you will be asked to calculate an index. An index is not a measurement of size. It tells us the ratio of two measurements. Such a ratio often provides us with a quantification of shape, such as the shape of the head. In this exercise you will take a series of measurements in the metric system on several geometric shapes and then calculate an index. 1. Using a metric ruler, measure the height and width of Box A in millimeters. 7 height width ? mm mm A 2 2. Calculate the height/width index of Box A using the following formula: (height/width) x 100 To eliminate the decimal point, multiply the proportion by 100. Thus an index of 1.13 becomes 113 and an index of 0.79 becomes 79. (In calculating indices, always round off the final number to the nearest whole number.) 3. Is this index a length?
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Transcribed Image Text:12
Exercise 1: The Scientific Method
in
ns,
e
13
Exercise 1.2 The Meaning of Indices
In several exercises in this class you will be asked to calculate an index. An index is not a
measurement of size. It tells us the ratio of two measurements. Such a ratio often provides us
with a quantification of shape, such as the shape of the head.
In this exercise you will take a series of measurements in the metric system on several geometric
shapes and then calculate an index.
ch
1. Using a metric ruler, measure the height and width
of Box A in millimeters.
?
height
mm
width
mm
7
A
2. Calculate the height/width index of Box A using the
following formula:
(height/width) x 100
To eliminate the decimal point, multiply the proportion by 100. Thus an index of 1.13 becomes
113 and an index of 0.79 becomes 79. (In calculating indices, always round off the final number
to the nearest whole number.)
3. Is this index a length?
7
4.
What exactly does this index tell you about Box A?
7
5. Repeat the measurements and calculations for Box B.
height
width
(height/width) x 100
2
mm
て
mm
B
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