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Q: The property that states that between any two real numbers there is always another real number?
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What are all of the numbers between 3 and 4?

There are infinate numbers between 3 and 4. You can be from 3.0000000000000......01 to 3.999999999......999. You can always add on another number.


What is Associative Property?

The addition or multiplication of a set of numbers is the same regardless of how the numbers are grouped. The associative property will involve 3 or more numbers. The parenthesis indicates the terms that are considered one unit.The groupings (Associative Property) are within the parenthesis. Hence, the numbers are 'associated' together. In multiplication, the product is always the same regardless of their grouping. The Associative Property is pretty basic to computational strategies. Remember, the groupings in the brackets are always done first, this is part of the order of operations.


Which irrational number is closest to 6?

Irrational numbers are infinitely dense. That is to say, between any two irrational (or rational) numbers there is an infinite number of irrational numbers. So, for any irrational number close to 6 it is always possible to find another that is closer; and then another that is even closer; and then another that is even closer that that, ...


Which set of numbers does the density property apply to real rational natural irrational or whole?

The rationals are dense since between any two there is always another. You can always add them and divide by 2. For example 1/2 and 1/3. You can add them and divide by 2 . 3/6+ 2/6=5/6 and half of that is 5/12 ( 5/12 is certainly between 4/12 and 6/12) The whole numbers are not dense. Is there a whole number between 1 and 2? I don't think so! And irrationals are dense as well, you can do the same thing you did with the rationals. Just add them and divide by 2. Of course there are many other numbers between each rational and each irrational, the idea of adding and dividing by two just ensures the existence of at least one such number. Now if the density property applies to rationals and irrationals, it must apply to reals since they can be viewed as the intersection of these two sets.


Is the difference between two integers always smaller than either on of the numbers in the difference?

Yes

Related questions

What are all of the numbers between 3 and 4?

There are infinate numbers between 3 and 4. You can be from 3.0000000000000......01 to 3.999999999......999. You can always add on another number.


How many numbers are between 2.1 and 2.2?

Due to the base property, an infinite number. You will always be able to make it smaller.


What is the property that states that for three or more numbers and their sum or product is always the same?

associative property


What is the property that states that for three or more numbers their sum is always the same regardless of their grouping?

associative property


The property that states that for three or more numbers their sum or product is always the same regardless of their grouping?

The associative property.


What is an Archimedean property?

An Archimedean property is the property of the set of real numbers, that for any real number there is always a natural number greater than it.


Why cant you make another number in between any other number?

Between any two real numbers you can always find an infinite number of other real numbers so the question is misguided.


Is the difference between two rational numbers always a rational numbers?

no


What is Associative Property?

The addition or multiplication of a set of numbers is the same regardless of how the numbers are grouped. The associative property will involve 3 or more numbers. The parenthesis indicates the terms that are considered one unit.The groupings (Associative Property) are within the parenthesis. Hence, the numbers are 'associated' together. In multiplication, the product is always the same regardless of their grouping. The Associative Property is pretty basic to computational strategies. Remember, the groupings in the brackets are always done first, this is part of the order of operations.


Can you assume another person's property tax?

I don't think that you can assume another person's property tax, unless you purchased that property from them. The short answer is no, you cannot assume someone's property tax...you could always give them a loan, though.


Which property would be useful in proving that the product of two rational numbers is always rational?

The fact that the set of rational numbers is a mathematical Group.


Is the set of whole numbers is dense?

No. a set of numbers is dense if you always find another number in the set between any two numbers of the set. Since there is no whole number between 4 and 5 the wholes are not dense. The set of rational numbers (fractions) is dense. for example, we can find a nubmer between 2/3 and 3/4 by averaging them and this number (17/24) is once again a rational number. You can always find tha average of two rational numbers and the result is always a rational number, so the ratonals are dense!