Classify 3 81 , 2 6 4 6 , – 4.0 , , 5 , 10.124124........ as rational or irrational withjustification
Question
Classify the following numbers as rational or irrational with justification:
- 3
- 81
- (2 + 6) (4 - 6)
- – 4.0
- π
- 5
- 10.124124...
Provide your justification for each classification.
Solution
-
3: This is a rational number because it can be expressed as a fraction (3/1).
-
81: This is also a rational number because it can be expressed as a fraction (81/1).
-
(2+6) - (4+6): This simplifies to 8 - 10 = -2, which is a rational number because it can be expressed as a fraction (-2/1).
-
-4.0: This is a rational number because it can be expressed as a fraction (-4/1).
-
π (Pi): This is an irrational number. It cannot be expressed as a fraction and its decimal representation never ends or repeats.
-
5: This is a rational number because it can be expressed as a fraction (5/1).
-
10.124124...: This is a rational number because its decimal representation is repeating. It can be expressed as a fraction.
Similar Questions
Classify 3 81 , 2 6 4 6 , – 4.0 , , 5 , 10.124124........ as rational or irrational withjustification
The three rational numbers between 3 and 4 are:a. 5/2, 6/2, 7/2b. 13/4, 14/4, 15/4c. 12/7, 13/7, 14/7d.11/4, 12/4, 13/4
Which of the following are irrational numbers? Select all that apply. A. B. 7.508508507... C. 8989 D. E.
Classify the number below. Select all that apply.*1 pointReal NumberIrrationalRationalIntegerWholeNatural
the diffrence between the largest and the smallest of the rationals, 5/8,7/12,1/3,2/5
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.