Math, asked by ayushraj01102000, 5 months ago

what you know
(1) In the given figure, mark the numbers as Natural (N), Whole
(W), Integers (I), Rational (Q) and Irrational (P).
3
7​

Answers

Answered by anantduey2005
0

Answer:

 Is zero a rational number? Can you write it in the form  where p and q are integers and q ≠ 0?

Ans. Yes, zero is a rational number. We can write it in the form 

           

2.  Find six rational numbers between 3 and 4.

Ans. We know that there are an infinite number of rational numbers between two rational numbers.

           Therefore, six rational numbers between 3 and 4 can be:

           Let x = 3 and y = 4, also n = 6

                 

           (x + d), (x + 2d), (x + 3d), (x + 4d), (x + 5d) and (x + 6d).

           ⇒ The six rational numbers between 3 and 4 are:

           

3.  Find five rational numbers between 

           ⇒ The Five rational numbers between ‘x’ and ‘y’ are:

           (x + d); (x + 2d); (x + 3d); (x + 4d)

           and (x + 5d).

           

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.

Ans. (i)   True statement

                    [ ⇒ The collection of all natural numbers             and 0 is called whole numbers]

       (ii)   False statement

                    [ ⇒ Integers such as –1, –2 are non-whole numbers]

       (iii)   False statement

                    [ ⇒ Rational number  is not a whole number]

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