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Unformatted text preview: one number by another.
Proportion – an equality of two ratios. For instance:
12 : 20 = 3 : 5; a:b=c:d. Border terms of the proportion: 12 and 5 in the first proportion;
a and d in the second proportion.
Middle terms of the proportion: 20 and 3 in the first proportion;
b and c in the second proportion.
The main property of a proportion: A product of border terms of a proportion is equal to a product of its
middle terms.
Two mutually dependent values are called proportional ones, if a ratio of their values is saved as invariable.
This invariable ratio of proportional values is called a factor of a proportionality.
Example. A mass of any substance is proportional to its volume. For instance, 2 liters of mercury weigh
27.2 kg, 5 liters weigh 68 kg, 7 liters weigh 95.2 kg. A ratio of mercury mass to its volume (
factor of a proportionality ) will be equal to: Thus, a factor of a proportionality in this example is density. Math I  16  Feel free to pass this on to your friends, but please don’t post it online.
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College entrance exam and science high school entrance test tips. Conquer UPCAT, ACET, USTET,
DLSUCET, PSHSNCE, and other entrance tests. The Integers and Rational Numbers
To the natural numbers one adjoins their negatives and zero to form the integers. The ratios a/b of the integers,
where a and b are integers and b /= 0, constitute the rational numbers; the integers are those rational numbers
for which b = 1. The rational numbers may also be represented by repeating decimals; e.g., 1/2 = 0.5000 …, 2/3
= 0.6666 …, 2/7 = 0.285714285714 …
Negative integers appear, when the greater integer is subtracted from the smaller one, for instance:
10 – 15...
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 Spring '13
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