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Answered 2017-01-11 23:22:09

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Define density property for rational numbers?

There are infinitely many rational numbers between any two rational rational numbers (no matter how close).


What are the rational numbers between 4.43 and 4.44?

There are infinitely many rational numbers between any two rational numbers - no matter how close together they are.


What are the rational numbers between -2 and 2?

There are infinitely many rational numbers between any two (different) numbers, no matter how close together they are.


Is the set of all rational numbers continuous?

Continuity is a characteristic of functions not of sets.The set of rational number is infinitely dense. This means that between any two rational numbers, no matter how close together, there are infinitely many rational numbers. And then, between any two of them these is an infinte number of rational numbers, and so on.But, in case that gives you any wrong ideas, between any two rational numbers there is an even higher order of infinity of irrational numbers. In that respect the number of gaps in the set of rational numbers (where the irrational numbers would be) is greater than the cardinality of rational numbers.Continuity is a characteristic of functions not of sets.The set of rational number is infinitely dense. This means that between any two rational numbers, no matter how close together, there are infinitely many rational numbers. And then, between any two of them these is an infinte number of rational numbers, and so on.But, in case that gives you any wrong ideas, between any two rational numbers there is an even higher order of infinity of irrational numbers. In that respect the number of gaps in the set of rational numbers (where the irrational numbers would be) is greater than the cardinality of rational numbers.Continuity is a characteristic of functions not of sets.The set of rational number is infinitely dense. This means that between any two rational numbers, no matter how close together, there are infinitely many rational numbers. And then, between any two of them these is an infinte number of rational numbers, and so on.But, in case that gives you any wrong ideas, between any two rational numbers there is an even higher order of infinity of irrational numbers. In that respect the number of gaps in the set of rational numbers (where the irrational numbers would be) is greater than the cardinality of rational numbers.Continuity is a characteristic of functions not of sets.The set of rational number is infinitely dense. This means that between any two rational numbers, no matter how close together, there are infinitely many rational numbers. And then, between any two of them these is an infinte number of rational numbers, and so on.But, in case that gives you any wrong ideas, between any two rational numbers there is an even higher order of infinity of irrational numbers. In that respect the number of gaps in the set of rational numbers (where the irrational numbers would be) is greater than the cardinality of rational numbers.


How can rational number be used to help locate irrational?

The idea is to look for a rational number that is close to the desired irrational number. You can find rational numbers that are as close as you want - for example, by calculating more decimal digits.


What is the formula of density in numbers?

Numbers are infinitely dense. Between any two rational or real numbers, no matter how close, there are infinitely many numbers.


Are fractions a rational number?

Every fraction is a rational number, as long as it has whole numbers on topand bottom. In fact, that's very close to the definitionof a rational number.


What number matches the number that follows 984339.78?

There is no such number. The given number is rational and rational numbers are infinitely dense. Between any two rational numbers - no matter how close together - there are an infinite number of rational numbers. That means, whatever number you propose as the "next" number, there are infinitely many numbers between 984339.78 and your proposed number. So it cannot be the "next".


It is always possible to translate among an equation a table of values and a graph of a relation?

No.Try to created a table or a graph for the equation:y = 0 when x is rational,andy = 1 when x is irrational for 0 Remember, between any two rational numbers (no matter how close), there are infinitely many irrational numbers, and between any two irrational numbers (no matter how close), there are infinitely many rational numbers.


How many rational numbers can be put between 2 and7?

There are an infinite number of rational numbers between any two rational numbers. And 2 and 7 are rational numbers. Here's an example. Take 2 and 7 and find the number halfway between them: (2 + 7)/2 = 9/2, which is rational. Then you can take 9/2 and 2 and find a rational number halfway: 2 + 9/2 = 13/2, then divide by 2 = 13/4. No matter how close the rational numbers become, you can add them together and divide by 2, and the new number will be rational, and be in between the other 2.


Number of terms between -30 and 488?

Infinitely many. The set of rational numbers (as well as irrationals) are infinitely dense. This means that no matter how close you pick two rational numbers, there are infinitely many rational numbers between them. And if you pick any two of those, there are infinitely many between those two.


What two rational numbers are close to but larger than 7.48?

There are an infinite number of them. Here are two: 7.48000000001 7.48000000002


How can you use rational number to represent real world problems?

You cannot. The diagonal of a unit square cannot be represented by a rational number. However, because rational numbers are infinitely dense, you can get as close to an irrational number as you like even if you cannot get to it. If this approximation is adequate than you are able to represent the real world using rational numbers.


Is there a rational number between any two distinct rational numbers?

Yes. Not only that, but there are an infinite number of rationals between any two distinct rationals - however close. We can prove it like this: Take any three rational numbers, call them A, B and C, where B is larger than A, and C is any rational number greater than 1: D = A + (B - A) / C That gives us another rational number, D, no matter what the values of the original numbers are.


What is closing a rational number under addition And can you close them under subtraction multiplication and division?

Rational numbers are numbers that can be expressed as a fraction a/b where a and b are both integers and b is not equal to zero. All integers n are rational numbers because they can be expressed as the fraction n/1. Rational numbers are closed under addition, subtraction, multiplication and division by a non-zero rational. To be closed under addition, subtraction, multiplication and division by a non-zero rational means that if you have two rational numbers, when you add, subtract, multiple or divide them, you will get another rational number. For example, take the rationals 1/3 and 4/3. When you add them together, you get another rational number, 5/3. Same with the other operations. 1/3 - 4/3 = -1 (remember integers are rational, too) (1/3) * (4/3) = 4/9 (1/3) / (4/3) = 1/4


What is the rational number of 8.3 and 8.26?

8.3 and 8.26 are both rational numbers. Their sum is 16.56. That's also a rational number. Their difference is 0.04. That's also a rational number. Their product is 68.558. That's also a rational number. Their quotient is close to 0.9952. It can't be completely written as a decimal, but it's equivalent to 413/415 and it's a rational number too.


Why rational numbers are dense then real numbers?

Roughly speaking, rational numbers can form real numbers that's why they are more densed than real numbers. For example, if A is a subset of some set X & every point x of X belongs to A then A is densed in X. Also Cauchy sequence is the best example of it in which every bumber gets close to each other hence makes a real number.


Is your shadow bigger or smaller when the sun is close?

smaller


Where can you find 2009 AMA National Motocross Championship numbers?

The link below is as close as I can find, it is not a complete list though.


What are the two categories of real numbers?

cardinal (1, 2, 3, ...) and ordinal (1st, 2nd, 3rd, ...)or rational and irrationalA rational number can be expressed as a fractionex: 22/7 is roughly 3.14, very close to pi, but not pi which is still real but...Irrational - it cannot be expressed in the form of a fraction, other irrational numbers: sqrt(2), e.


What are numbers that are close to the given numbers to make estimation easier?

15 ,67, and 84 are numbers that are close to the given numbers to make estimation easier.


In rational functions what happens when w gets close to zero?

The answer depends on what w represents. If w is the denominator of the rational function then as w gets close to zero, the rational function tends toward plus or minus infinity - depending on the signs of the dominant terms in the numerator and denominator.


How do you know that fraction is close to zero?

The numerator is "much smaller" than the denominator. "Much smaller" is subjective, but then so is "close to" in the question.


Which option below best describes this sentence 2.1 added to 3.35 is about 5.5.?

The two numbers add up close to 5.5, but not exactly.


Is there a rational number between 4 upon 7 and 5 upon 9?

There are infinitely many rational numbers between any two rational numbers - no matter how close you try to make them. 4/7 = 36/63 = 360/630 and 5/9 = 35/63 = 350/630 So 351/630, 352/360, ..., 359/630 are between the two. As are 3511/3600, 3512/3600 etc and 35111/36000, 35112/36000 and so on.