Given universal set = - 6 , - 5 3 4 , 4 , - 3 5 , - 3 8 , 0 , 4 5 , 1 , 1 2 3 , 8 , 3 . 01 , π , 8 . 47 From the given set , find set of rational numbers

We need to find the set of rational numbers. Rational numbers are numbers of the form p q , where q ≠ 0 U = - 6 , - 5 3 4 , 4 , - 3 5 , - 3 8 , 0 , 4 5 , 1 , 1 2 3 , 8 , 3 . 01 , π , 8 . 47 Clearly, - 5 3 4 , - 3 5 , - 3 8 , 4 5 and 1 2 3 are of the form p q Hence, they are rational numbers. Since the set of integers is a subset of rational numbers, - 6 , 0 and 1 are also rational numbers. Thus, decimal numbers 3 . 01 and 8 . 47 are also rational numbers because they are terminating decimals. Hence, from the above set, the set of rational numbers is Q, and Q = - 5 3 4 , - 3 5 , - 3 8 , 4 5 , 1 2 3 , - 6 , 0 , 1 , 3 . 01 , 8 . 47

Given universal set = - 6 , - 5 3 4 , 4 , - 3 5 , - 3 8 , 0 , 4 5 , 1 , 1 2 3 , 8 , 3 . 01 , π , 8 . 47 From the given set , find set of irrational numbers

We need to find the set of irrational numbers. Irrational numbers are numbers that are not rational or An irrational number is a type of real number which cannot be represented as a simple fraction. U = - 6 , - 5 3 4 , 4 , - 3 5 , - 3 8 , 0 , 4 5 , 1 , 1 2 3 , 8 , 3 . 01 , π , 8 . 47 The set of irrational numbers is the set of complement of the rational numbers over real numbers. Here the set of irrational numbers is U − Q = 8 , π

Given universal set = - 6 , - 5 3 4 , 4 , - 3 5 , - 3 8 , 0 , 4 5 , 1 , 1 2 3 , 8 , 3 . 01 , π , 8 . 47 From the given set , find set of integers.

We need to find the set of integers. Set of integers consists of zero, the natural numbers and their additive inverses. The set of integers is Z . Z = … − 3 , − 2 , − 1 , 0 , 1 , 2 , 3 , … Given Universal set is - 6 , - 5 3 4 , 4 , - 3 5 , - 3 8 , 0 , 4 5 , 1 , 1 2 3 , 8 , 3 . 01 , π , 8 . 47 Here the set of integers is U ∩ Z = − 6 , 4 , 0 , 1

Given universal set = - 6 , - 5 3 4 , 4 , - 3 5 , - 3 8 , 0 , 4 5 , 1 , 1 2 3 , 8 , 3 . 01 , π , 8 . 47 From the given set , find set of non-negative integers.

An integer is a number that has no fractional part, and no digits after the decimal point. An integer can be positive, negative or zero. The set of integers is Z . Z = … − 3 , − 2 , − 1 , 0 , 1 , 2 , 3 , … Given Universal set is - 6 , - 5 3 4 , 4 , - 3 5 , - 3 8 , 0 , 4 5 , 1 , 1 2 3 , 8 , 3 . 01 , π , 8 . 47 0 and 1 are the only non-negative integers, from the given set. Set of non-negative integers is 0 , 1 .

E M B I B E

Concise Mathematics I.C.S.E - Class IX>Chapter 1 - Rational and Irrational Numbers>EXERCISE>Q 3

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Earn 100

$\frac{2}{7}$ is an irrational number

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Important Questions on Rational and Irrational Numbers

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Concise Mathematics I.C.S.E - Class IX>Chapter 1 - Rational and Irrational Numbers>EXERCISE>Q 3

\frac{5}{11}

is a rational number.

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Concise Mathematics I.C.S.E - Class IX>Chapter 1 - Rational and Irrational Numbers>EXERCISE>Q 3

All rational numbers are real number.

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Concise Mathematics I.C.S.E - Class IX>Chapter 1 - Rational and Irrational Numbers>EXERCISE>Q 3

All real numbers are rational number.

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Concise Mathematics I.C.S.E - Class IX>Chapter 1 - Rational and Irrational Numbers>EXERCISE>Q 3

Some real numbers are rational number.

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Concise Mathematics I.C.S.E - Class IX>Chapter 1 - Rational and Irrational Numbers>EXERCISE>Q 4

Given universal set $= \{- 6, - 5 \frac{3}{4}, \sqrt{4}, - \frac{3}{5}, - \frac{3}{8}, 0, \frac{4}{5}, 1, 1 \frac{2}{3}, \sqrt{8}, 3.01, π, 8.47\}$ From the given set , find set of rational numbers

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Concise Mathematics I.C.S.E - Class IX>Chapter 1 - Rational and Irrational Numbers>EXERCISE>Q 4

Given universal set $= \{- 6, - 5 \frac{3}{4}, \sqrt{4}, - \frac{3}{5}, - \frac{3}{8}, 0, \frac{4}{5}, 1, 1 \frac{2}{3}, \sqrt{8}, 3.01, π, 8.47\}$ From the given set , find set of irrational numbers

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IMPORTANT

Concise Mathematics I.C.S.E - Class IX>Chapter 1 - Rational and Irrational Numbers>EXERCISE>Q 4

Given universal set $= \{- 6, - 5 \frac{3}{4}, \sqrt{4}, - \frac{3}{5}, - \frac{3}{8}, 0, \frac{4}{5}, 1, 1 \frac{2}{3}, \sqrt{8}, 3.01, π, 8.47\}$ From the given set , find set of integers.

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9th ICSE

IMPORTANT

Concise Mathematics I.C.S.E - Class IX>Chapter 1 - Rational and Irrational Numbers>EXERCISE>Q 4

Given universal set $= \{- 6, - 5 \frac{3}{4}, \sqrt{4}, - \frac{3}{5}, - \frac{3}{8}, 0, \frac{4}{5}, 1, 1 \frac{2}{3}, \sqrt{8}, 3.01, π, 8.47\}$ From the given set , find set of non-negative integers.