Q-1 Fill in the blanks. 1) Amount = blank
+ Interest.
2) blank is a rational number
3) We can draw blank line (s) parallel to a given line.
4) There are blank number of rational numbers between two rational numbers. 5) Construction of a triangle is not possible if three blank of a triangle are given.
Answers
1. 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]