A rational number is a type of real number, which is in the form of p/q where q is not equal to zero.
Any fraction with non-zero denominators is a rational number.
Integers are rational numbers ?
Yes
For example,
-5, -4, -3, ....., 0, 1, 2, 3,..........
Every numbers can be written as a fraction, so they are rational.
Whole numbers are rational numbers ?
Yes
Is 0 a rational number ?
Yes
0 can be considered as fraction with any denominator.
Classify each number as RATIONAL (Q) or IRRATIONAL (I)
Problem 1 :
√47
Solution :
√47 is an irrational, because 47 is not a perfect square.
√47 = 6.8556546….. (irrational)
6.8556546….. is a non terminating and non repeating decimal.
So, √47 is irrational number.
Problem 2 :
11/9
Solution :
11/9
11/9 is in the form of a/b
11/9 is a rational number.
Problem 3 :
19/4
Solution :
19/4
19/4 is in the form of a/b
19/4 is a rational number.
Problem 4 :
√96
Solution :
√96 is an irrational, because 96 is not a perfect square.
√96 = 9.7979589711….. (irrational)
√96 is irrational.
Problem 5 :
19/14
Solution :
19/14
19/14 is in the form of a/b
19/14 is a rational number.
Problem 6 :
15/4
Solution :
15/4
15/4 is in the form of a/b
15/4 is a rational number.
Problem 7 :
√84
Solution :
√84 is an irrational, because 96 is not a perfect square.
√84 = 9. 161513….. (irrational)
√84 is irrational number.
Problem 8 :
-9
Solution :
-9
-9/1 is in the form of a/b
-9 is a rational number.
Problem 9 :
√72
Solution :
√72 is an irrational, because 96 is not a perfect square.
√72 = 8.48528137….. (irrational)
√72 is irrational number.
Problem 10 :
0
Solution :
0
0/1 is in the form of a/b
0 is a rational number.
Problem 11 :
8/9
Solution :
8/9
8/9 is in the form of a/b
8/9 is a rational number.
Problem 12 :
3
Solution :
3
3/1 is in the form of a/b
3 is a rational number.
May 21, 24 08:51 PM
May 21, 24 08:51 AM
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