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What contains real numbers?

Updated: 9/18/2023
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13y ago

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Real numbers form a proper subset of the set of complex numbers.

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9y ago
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Q: What contains real numbers?
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Is every real number rational?

No. The set of real numbers contains an infinitely more irrational numbers than rational numbers.


What are the example of field that contains subfield?

The set of complex numbers is a field which contains the set of real numbers as a proper subfield.


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Any set that contains it. For example, the set {1, 2.3, 2.236067977} or {-79000, pi, 2.236067977, sin(47)} or all real numbers, etc


What is the smallest subset of real numbers that contains -1?

Integers


Which of the following sets of numbers contains multiplicative inverses for all its elements Positive Integers Integers Rational Numbers Real Numbers?

Rational numbers and Real Numbers. The multiplicative inverses of integers are not integers.


Is set R of real numbers is countable set or not?

It is uncountable, because it contains infinite amount of numbers


Which subset of the real numbers contains the square root of 5?

To any set that contains it! It belongs to {sqrt(5)}, or {45, sqrt(2), pi, -3/7, sqrt(5)}, or irrational numbers, or real numbers between -3 and 3 etc.


What sets contains -4.5?

To any set that contains it!It belongs to {-4.5},or {-4.5, sqrt(2), pi, -3/7},or multiples of -0.5,or negative numbers,or rational numbers,or real numbers,or complex numbers,or square roots of 22.25,etc.To any set that contains it!It belongs to {-4.5},or {-4.5, sqrt(2), pi, -3/7},or multiples of -0.5,or negative numbers,or rational numbers,or real numbers,or complex numbers,or square roots of 22.25,etc.To any set that contains it!It belongs to {-4.5},or {-4.5, sqrt(2), pi, -3/7},or multiples of -0.5,or negative numbers,or rational numbers,or real numbers,or complex numbers,or square roots of 22.25,etc.To any set that contains it!It belongs to {-4.5},or {-4.5, sqrt(2), pi, -3/7},or multiples of -0.5,or negative numbers,or rational numbers,or real numbers,or complex numbers,or square roots of 22.25,etc.


Which is the most specific subset of the real numbers that contains the number 15?

The set {15}.


The statement 2 plus 0 equals 2 is an example of the use of which property of real numbers?

The set of real numbers contains an additive identity - which is denoted by zero - such that, for all real numbers, x, x + 0 = 0 + x = x.


Do real number contains all integers rational numbers irrational numbers natural numbers whole numbers?

Yes. Anything that can be put on the number line is real. You will learn about imaginary and complex numbers in advanced math. They are included in complex numbers but again that is very advanced math.


What are the five axioms in real numbers?

The five axioms, or postulates proposed by Peano are for the set of natural numbers: not real numbers. They are:Zero is a natural number.Every natural number has a successor in the natural numbers.Zero is not the successor of any natural number.If the successor of two natural numbers is the same, then the two original numbers are the same.If a set contains zero and the successor of every number is in the set, then the set contains the natural numbers.