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grin007 [14]
3 years ago
10

Explain real numbers, rational numbers, and irrational numbers please.

Mathematics
1 answer:
Lady_Fox [76]3 years ago
3 0

A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers.

All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction.An irrational number has endless non-repeating digits to the right of the decimal point. Although irrational numbers are not often used in daily life, they do exist on the number line. In fact, between 0 and 1 on the number line, there are an infinite number of irrational numbers!







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In mathematics, we talk about proportionality when two variables are related and this relationship is that there is a constant ratio between them. There are two types of proportionality.


1. Direct Proportionality:

If there are two variables x and y, we can write the relationship between them as follows:


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So, by substituting the point in this equation we have that the constant of proportionality is:


4=k(3) \\ \\ \therefore \boxed{k=\frac{4}{3}}


2. Inverse Proportionality:


In this case, the relationship is:


y=\frac{k}{x}


So, the constant of proportionality is:


4=\frac{k}{3} \\ \\ \therefore \boxed{k=12}


As you can see, we have found two different values of the constant of proportionality. So, it is necessary to know the type of proportionality.

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