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What statement about rational and irrational numbers is always true?
Rational numbers can be expressed as fractions whereas irrational numbers can't be expressed as fractions
What are the solutions of irrational numbers?
They are irrational numbers!
Every irrational number can be expressed as a quotient of integers?
WRONG!!!!! Irrational numbers CANNOT be expressed as a quotient(fraction). Casually, irrational numbers are those were the decimals go to infinity AND there is no regular order in the decimal digits. e.g. pi = 3.1415192.... is Irrational 3.3333.... is rational.
Are imaginary numbers irrational numbers?
No. Irrational numbers are real numbers, therefore it is not imaginary.
Is it true that no irrational numbers are whole numbers?
Yes, no irrational numbers are whole numbers.
Is this statement true All real numbers are irrational numbers?
No. The statement is wrong. It does not hold water.
What statement about rational and irrational numbers is always true?
Rational numbers can be expressed as fractions whereas irrational numbers can't be expressed as fractions
What are the solutions of irrational numbers?
They are irrational numbers!
What are irrational numbers and why are they irrational?
They are numbers that are infinite
Every irrational number can be expressed as a quotient of integers?
WRONG!!!!! Irrational numbers CANNOT be expressed as a quotient(fraction). Casually, irrational numbers are those were the decimals go to infinity AND there is no regular order in the decimal digits. e.g. pi = 3.1415192.... is Irrational 3.3333.... is rational.
Are rational numbers is an irrational numbers?
yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.
Properties of irrational numbers?
properties of irrational numbers
Can you add two irrational numbers to get a rational number?
Yes Yes, the sum of two irrational numbers can be rational. A simple example is adding sqrt{2} and -sqrt{2}, both of which are irrational and sum to give the rational number 0. In fact, any rational number can be written as the sum of two irrational numbers in an infinite number of ways. Another example would be the sum of the following irrational quantities [2 + sqrt(2)] and [2 - sqrt(2)]. Both quantities are positive and irrational and yield a rational sum. (Four in this case.) The statement that there are an infinite number of ways of writing any rational number as the sum of two irrational numbers is true. The reason is as follows: If two numbers sum to a rational number then either both numbers are rational or both numbers are irrational. (The proof of this by contradiction is trivial.) Thus, given a rational number, r, then for ANY irrational number, i, the irrational pair (i, r-i) sum to r. So, the statement can actually be strengthened to say that there are an infinite number of ways of writing a rational number as the sum of two irrational numbers.
Are -3036661 451 and 5 irrational numbers?
NO !!! However, the square root of '5' is irrational 5^(1/2) = 2.236067978... Casually an IRRATIONAL NUMBER is one where the decimals go to infinity and there is no regular order in the decimal numbers. pi = 3.141592.... It the most well known irrational number. However, 3.3333.... Is NOT irrational because there is a regular order in the decimals. Here is a definitive statement of irrational numbers. Irrational numbers are real numbers that cannot be represented as simple fractions. An irrational number cannot be expressed as a ratio, such as p/q, where p and q are integers, q≠0. It is a contradiction of rational numbers. Irrational numbers are usually expressed as R\Q, where the backward slash symbol denotes ‘set minus’. It can also be expressed as R – Q, which states the difference between a set of real numbers and a set of rational numbers.
Are imaginary numbers irrational numbers?
No. Irrational numbers are real numbers, therefore it is not imaginary.
Is it true that no irrational numbers are whole numbers?
Yes, no irrational numbers are whole numbers.
If you add two irrational numbers do you get an irrational number?
Not necessarily. The sum of two irrational numbers can be rational or irrational.
