Every essence is a rational number yet a rational number require not be 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 also so on …….. .
You are watching: Every rational number is an integer true or false
In other words, any integer a can be written as a = a/1, i m sorry is a reasonable number.
Thus, every creature is a rational number.
Clearly, 3/2,-5/3, etc. Space rational numbers however they space not integers.
Hence, every essence is a rational number however a rational number require not be an integer.
Let united state determinewhether the following rational numbers room integers or not:
(i) 2/5
2/5 is no an integer. Because 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 simplify 8/4 to its lowestterm we acquire 2/1 = 2, i m sorry is one integer.
(iii) -5/-5
-5/-5 is one integer. Because if we leveling -5/-5 come itslowest term we get 1/1 = 1, i beg your pardon is an integer.
(iv) -15/2
-15/2 is no an integer. Since we cannot express -15/2without a spring or decimal component
(v) -32/8
-32/8 is one integer. Since if we simplify -32/8 come itslowest term we obtain -4, i m sorry is an integer.
(vi) 49/-9
49/-9 is not an integer. Since we cannot express 49/-9 withouta fountain or decimal component
(vii) -75/-20
-75/-20 is no an integer. Due to the fact that if we simplify -75/-20 toits lowest term we gain 15/4 and we cannot express 15/4 there is no a spring ordecimal component
(viii) 500/-10
500/-10 is one integer. Since if we leveling 500/-10 come itslowest hatchet we get 50/-1 = -50, which is one integer.
So, indigenous the over explanation us conclude the everyrational number is no an integer.
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● reasonable Numbers
Introduction of reasonable Numbers
What is rational Numbers?
Is Every rational Number a organic Number?
Is Zero a rational Number?
Is Every reasonable Number one Integer?
Is Every rational Number a Fraction?
Positive rational Number
Negative rational Number
Equivalent rational Numbers
Equivalent form of rational Numbers
Rational Number in different Forms
Properties of rational Numbers
Lowest form of a reasonable Number
Standard type of a reasonable Number
Equality of Rational numbers using conventional Form
Equality that Rational number with typical Denominator
Equality of reasonable Numbers making use of Cross Multiplication
Comparison of reasonable Numbers
Rational number in Ascending Order
Rational numbers in descending Order
Representation of rational Numberson the Number Line
Rational number on the Number Line
Addition of reasonable Number with same Denominator
Addition of rational Number with various Denominator
Addition of reasonable Numbers
Properties of addition of rational Numbers
Subtraction of rational Number with very same Denominator
Subtraction of rational Number with various Denominator
Subtraction of rational Numbers
Properties of individually of reasonable Numbers
Rational expression Involving addition and Subtraction
Simplify rational Expressions including the amount or Difference
Multiplication of reasonable Numbers
Product of rational Numbers
Properties that Multiplication of reasonable Numbers
Rational Expressions including Addition, Subtraction and Multiplication
Reciprocal that a Rational Number
Division of rational Numbers
Rational Expressions including Division
Properties of division of reasonable Numbers
Rational Numbers between Two rational Numbers
To uncover Rational Numbers
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