Answer:
28. The difference represents an irrational number
29. The difference represents a rational number
30. The quotient represents a rational number
31. The quotient represents an irrational number
Step-by-step explanation:
* Lets explain how to solve the problem
- The rational number is any numbers can be put in the form of a/b,
where a and b are integers b ≠ 0
- Ex: 1 , 2/3 , 5/4 , 22/7 , 100 , ................
- The irrational number is any number that is not rational
- It is a number that cannot be written as a ratio of two integers
or cannot be expressed as a fraction
- Ex: √2 , √7 , π , ..... (π is irrational because it's approximated value)
- If the part of the the number is irrational, then the number
is irrational
- Ex: (5 + √3) , (√7 + 5) , 2√5 , √11/4 , 5/√13
* Lets solve the problems
28. [tex]\frac{6}{23}-\frac{\sqrt{2}}{2}[/tex]
∵ √2/2 is an irrational number
∵ One term is an irrational number
∴ The difference represents an irrational number
29. [tex]\frac{6}{23}-\frac{15}{127}[/tex]
∵ The two terms are rational numbers
∴ The difference represents a rational number
30. [tex]\frac{6}{23}[/tex] ÷ [tex]\frac{15}{127}[/tex]
∵ The two terms are rational numbers
∴ The quotient represents a rational number
31. [tex]\frac{6}{23}[/tex] ÷ [tex]\frac{\sqrt{2}}{2}[/tex]
∵ √2/2 is an irrational number
∵ One term is an irrational number
∴ The quotient represents an irrational number
