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The number can be in different form. Some numbers can be in a form of fraction, ratio, root and with the decimal. If the number is in the form of \(\frac{p}{q}\) (fraction) ,of two integer p and q where numerator p and q≠0 are called rational numbers.
5 \(\frac{2}{3}\), \(\frac{7}{4}\), \(\frac{3}{4}\), \(\frac{3}{5}\) etc are the examples of rational numbers.
Rational number can be:
Numbers which cannot be expressed in a ratio (as a fraction of integer) or it can be expressed in decimal form is known as irrational numbers. It can neither be terminated nor repeated.
For example,
√7 = 2.64575131.............
√5 = 2.23620679....... etc are irrational numbers.
√2,√3,√5,√6,√7, etc. are the examples of irrational number where the numbers are a non-terminating and a non-repeating number.
Solution:
Solution:
Solution:
a) π is an irrational number. ( True)
b) -√3 is an irrational number. (True)
c) Irrational numbers cannot be represented by points on the number line. (False)
d) All real number are rational ( False)
e) Every real number is not a rational number. (True)
Solution:
√2 = 1.41421356.......
Solution:
1) 0.75
2) -100
3) \(\frac{7}{20}\)
4) 0
Solution:
-6/25 ÷ 3/5
= -6/25 × 5/3
= {(-6) × 5}/(25 × 3)
= -30/75
= -2/5
Solution:
11/24 ÷ (-5)/8
= 11/24 × 8/(-5)
= (11 × 8)/{24 × (-5)}
= 88/-120
= -11/15
Solution:
(-25/9) × (-18/15)
= (-25) × (-18)/9 × 15
= 450/135
= 10/3
Solution:
(-11)/3 is not a positive rational. Since both the numerator and denominator are of the opposite sign.
Solution:
25/(-27) is not a positive rational. Since both the numerator and denominator are of the opposite sign.
Change the following decimal number into fraction:
0.(overline{5})
Change the following decimal number into fraction:
0.(overline{7})
Change the following decimal number into fraction:
0.(overline{24})
Change the following decimal number into fraction:
0.(overline{132})
Change the following decimal number into fraction:
0.(overline{27})
Change the following decimal number into fraction:
1.(overline{57})
Change the following decimal number into fraction:
0.(overline{365})
Change the following decimal number into fraction:
4.(overline{78})
Change the following decimal number into fraction:
0.(overline{445})
Change the following decimal number into fraction:
1.(overline{525})
The sum of the rational numbers (frac{– 8}{19}) and (frac{-4}{57}) is?
Write down the numerator of rational numbers:
(frac{(-7)}{5})
Write down the numerator of rational numbers:
(frac{(-17)}{(-21)})
Write down the denominator of rational numbers:
(frac{(-4)}{5})
Write down the denominator of rational numbers:
15
ASK ANY QUESTION ON Rational and Irrational Number
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Samikshya Adhikari
Introduce DIAGONAL OF UNIT SQUARE.
Jul 09, 2017
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