EXERCISE 1.1
EVIDYARTHI
Introduction - Number Systems Class 9th Maths
Introduction - Number Systems Class 9th Maths
Q 1, Ex 1.1, Page No 5, Number Systems, Maths Class 9th
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.
EVIDYARTHI
Q 2 & Q 3, Ex 1.1, Number Systems, Page No 5, Maths Class 9th : NCERT Solutions
MKR
Class 9th , Ex - 1.1, Q 2 ( NUMBER SYSTEM ) CBSE NCERT
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}
MKRClass 9th , Ex - 1.1, Q 3 ( NUMBER SYSTEM ) CBSE NCERT
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}
EVIDYARTHI
Q 4, Ex 1.1, Page No 5, Number Systems, CBSE Class 9th Maths
MKR
Class 9th , Ex - 1.1, Q 4 ( NUMBER SYSTEM ) CBSE NCERT
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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