Question

II. Short answer type questions: 1. Check whether-1,2 are the Zeroes of p(x)= (x+1)(x-2) 2. Find five rational numbers between 1 and 2. 3. Express 0.33.... in 2 form. 4. Find i)(32)$. ii) Find x if, 2 x+3 = 4 x-1 9​

Answer 1

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]