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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
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, PSHS-NCE, 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