Every essence is a reasonable number but a rational number need not it is in an integer.

We understand that 1 = 1/1, 2 = 2/1, 3 = 3/1, 4 = 4/1 and so on ……. .

also, -1 = -1/1, -2 = -2/1, -3 = -3/1, -4 = -4/1 and so ~ above …….. .

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In other words, any type of integer a can be created as a = a/1, which is a reasonable number.

Thus, every integer is a rational number.

Clearly, 3/2,-5/3, etc. Are rational numbers however they space not integers.

Hence, every creature is a rational number but a reasonable number require not it is in an integer.

Let united state determinewhether the following rational numbers room integers or not:

(i) 2/5

2/5 is no an integer. Since we cannot express 2/5 without afractional or decimal component

(ii) 8/4

8/4 is one integer. Due to the fact that if we leveling 8/4 to its lowestterm we acquire 2/1 = 2, i beg your pardon is an integer.

(iii) -5/-5

-5/-5 is an integer. Because if we leveling -5/-5 come itslowest term we gain 1/1 = 1, i m sorry is one integer.

(iv) -15/2

-15/2 is no an integer. Because we cannot express -15/2without a fractional or decimal component

(v) -32/8

-32/8 is one integer. Because if we simplify -32/8 come itslowest term we get -4, i beg your pardon is one integer.

(vi) 49/-9

49/-9 is not an integer. Due to the fact that we cannot express 49/-9 withouta spring or decimal component

(vii) -75/-20

-75/-20 is not an integer. Because if we simplify -75/-20 toits shortest term we acquire 15/4 and also we cannot express 15/4 there is no a fractional ordecimal component

(viii) 500/-10

500/-10 is an integer. Since if we simplify 500/-10 to itslowest hatchet we acquire 50/-1 = -50, which is one integer.

So, native the over explanation us conclude the everyrational number is no an integer.

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● rational Numbers

Introduction of rational Numbers

What is reasonable Numbers?

Is Every reasonable Number a natural Number?

Is Zero a reasonable Number?

Is Every rational Number one Integer?

Is Every rational Number a Fraction?

Positive reasonable Number

Negative rational Number

Equivalent reasonable Numbers

Equivalent form of reasonable Numbers

Rational Number in various Forms

Properties of reasonable Numbers

Lowest form of a reasonable Number

Standard form of a reasonable Number

Equality that Rational number using typical Form

Equality the Rational number with usual Denominator

Equality of rational Numbers using Cross Multiplication

Comparison of reasonable Numbers

Rational number in Ascending Order

Rational numbers in diminish Order

Representation of reasonable Numberson the Number Line

Rational number on the Number Line

Addition of reasonable Number with same Denominator

Addition of reasonable Number with different Denominator

Properties of addition of rational Numbers

Subtraction of rational Number with exact same Denominator

Subtraction of reasonable Number with different Denominator

Subtraction of reasonable Numbers

Properties of subtraction of reasonable Numbers

Rational expression Involving enhancement and Subtraction

Simplify rational Expressions involving the sum or Difference

Multiplication of reasonable Numbers

Product of rational Numbers

Properties of Multiplication of reasonable Numbers

Rational Expressions entailing Addition, Subtraction and also Multiplication

Reciprocal the a Rational  Number

Division of rational Numbers

Rational Expressions involving Division

Properties of division of rational Numbers

Rational Numbers between Two rational Numbers

To uncover Rational Numbers