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No.

Example: The difference of 2/5 & 1/3:

2/5 - 1/3 = 1/15 ∈ ℚ (is a rational number) ∉ ℕ (is not a natural number).

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Wiki User

12y ago
This answer is:
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Wiki User

6y ago

Yes, it is.

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Q: Is the difference of two natural numbers always a rational number?
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Related questions

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

no


Is the difference between two rational numbers always rational?

Yes, it is.


Are rational numbers are always natural numbers. True or False?

False.


Are irrational numbers always natural numbers?

No. Rather all natural numbers are necessarily rational number


Is it true that The difference of two rational numbers always a rational number?

Yes. The rational numbers are a closed set with respect to subtraction.


The difference of two rational numbers is always a rational number?

Yes, that's true.


Is the difference between two rational Numbers always negative?

No.


A natural number is always a rational number?

Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


Is is true the difference of two rational numbers is always negative?

No, it is not true.


Is one natural number divided by another natural number always a natural number?

No, 4/3 is 1.333333... which is not a natural number. However, any natural number divided by a natural number will always be a rational number. This is due to the definition of a rational number as being able to be expressed as p/q where p and q are integers. Thus, numbers where p and q are natural numbers represent a subset of all the rational numbers.


Is The difference of two real numbers always an irrational number?

No. 5 and 2 are real numbers. Their difference, 3, is a rational number.


Will repeating decimals always or never be rational numbers?

They will always be rational numbers.