write the five examples of rational numbers and five examples of irrational number
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write the five examples of rational numbers and five examples of irrational number
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Step-by-step explanation:
A rational number is any number which can be expressed as the quotient of two integers, i.e., a/b, where a and b are both integers and b≠ 0, whereas, an irrational number cannot be expressed as the quotient of two integers, e.g., π (pi) and √3 are two irrational numbers. Examples of rational numbers are: -2 = -2/1, -5 = -5/1, -14 = -14/1, 1/2, 2/3, 5/8, 3/4, 17/5, .6 = 6/10 = 3/5, .25 = 1/4, .33 = 33/100, 2¾ = 11/4, 3⅓ = 10/3, .7 = 7/10, .1111111 ... = 1/9, -1/2, -1/11, -5/6, -.9 = -9/10, -2¾ = -11/4, -3⅓ = -10/3, and -14/3, .1 = 1/10, .01 = 1/100, .57 = 57/100, -.333333 ... = -1/3.
The fraction 5/8, for example, is a rational number because it expresses the quotient of two integers: 5 and 8, and 8 is plainly not zero.
Also, the number √0.04 , for example, is a rational number because it expresses the quotient of two integers; We have:
√0.04 = √(4/100)
= √4/√100 by a property of radicals: √(a/b) = √a/√b, where a and b are real numbers such that a/b is greater than or equal to zero, and b does not equal zero.
= 2/10 which is the quotient of two integers: 2 and 10, and 10 is obviously not zero; consequently, the number √0.04 can fulfill the definition of a rational number and is, therefore, a rational number, not an irrational number.
The set of rational numbers is infinite in size. I hope that the numerous examples of rational numbers shown above is sufficient. If not, please let me know.
SOLUTION
TO DETERMINE
EVALUATION
Five examples of rational numbers
We know that Rational number is defined as a number of the form [tex] \displaystyle \sf{ \frac{p}{q} \: }[/tex] Where p & q are integers with q ≠ 0
Hence Five examples of rational numbers are
[tex]\displaystyle \sf{2,- 1, \frac{1}{3} , - \frac{12}{23}, \frac{29}{11} }[/tex]
Five examples of irrational numbers
We know a number which is not rational number is called irrational number
Hence Five examples of irrational numbers are e , √3 , π , √2 , √7
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