NCERT solution class 9 chapter 1 Number Systems exercise 1.1 mathematics

EXERCISE 1.1

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EVIDYARTHI

Introduction - Number Systems Class 9th Maths

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Q 1, Ex 1.1, Page No 5, Number Systems, Maths Class 9th

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MKRClass 9th , Ex - 1, INTRODUCTION ( NUMBER SYSTEM ) CBSE NCERT

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Class 9th , Ex - 1.1, Q 1 ( NUMBER SYSTEM ) CBSE NCERT

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Page No 5:

Question 1:

Is zero a rational number? Can you write it in the form $\frac{p}{q}$ , where p and q are integers and q ≠ 0?

Answer:

Yes. Zero is a rational number as it can be represented as $\frac{0}{1}$ or $\frac{0}{2}$ or $\frac{0}{3}$ etc.

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EVIDYARTHI

Q 2 & Q 3, Ex 1.1, Number Systems, Page No 5, Maths Class 9th : NCERT Solutions

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MKR

Class 9th , Ex - 1.1, Q 2 ( NUMBER SYSTEM ) CBSE NCERT

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Question 2:

Find six rational numbers between 3 and 4.

Answer:

There are infinite rational numbers in between 3 and 4.
3 and 4 can be represented as $\frac{24}{8}$ and $\frac{32}{8}$ respectively.

Therefore, rational numbers between 3 and 4 are
$\frac{25}{8}, \frac{26}{8}, \frac{27}{8}, \frac{28}{8}, \frac{29}{8}, \frac{30}{8}$

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MKRClass 9th , Ex - 1.1, Q 3 ( NUMBER SYSTEM ) CBSE NCERT

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Question 3:

Find five rational numbers between $\frac{3}{5}$ and $\frac{4}{5}$

Answer:

There are infinite rational numbers between $\frac{3}{5}$ and $\frac{4}{5}$
$\frac{3}{5}=\frac{3 \times 6}{5 \times 6}=\frac{18}{30}$

$\frac{4}{5}=\frac{4 \times 6}{5 \times 6}=\frac{24}{30}$
Therefore, rational numbers between $\frac{3}{5}$ and $\frac{4}{5}$ are
$\frac{19}{30}, \frac{20}{30}, \frac{21}{30}, \frac{22}{30}, \frac{23}{30}$

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EVIDYARTHI

Q 4, Ex 1.1, Page No 5, Number Systems, CBSE Class 9th Maths

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MKR

Class 9th , Ex - 1.1, Q 4 ( NUMBER SYSTEM ) CBSE NCERT

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 Question 4:

State whether the following statements are true or false. Give reasons for your answers.
(i) Every natural number is a whole number.
(ii) Every integer is a whole number.
(iii) Every rational number is a whole number.

Answer:

(i) True; since the collection of whole numbers contains all natural numbers.
(ii) False; as integers may be negative but whole numbers are positive. For example: −3 is an integer but not a whole number.
(iii) False; as rational numbers may be fractional but whole numbers may not be. For example: $\frac{1}{5}$ is a rational number but not a whole number.

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