Chapter 01 Number Systems Exercise-01
EXERCISE 1.1
1. Is zero a rational number? Can you write it in the form
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Solution
Yes. Zero is a rational number as it can be represented as
2. Find six rational numbers between 3 and 4 .
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Solution
There are infinite rational numbers in between 3 and 4 .
3 and 4 can be represented as respectively.
Therefore, rational numbers between 3 and 4 are
3. Find five rational numbers between
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Solution
numbers
numbers between
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.
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Solution
(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:
