# NCERT Class 9 MathematicsNumber System Formative Assessment Board Sample Problems

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1. Without actually performing division, state which of these number will terminating decimal expression or non-terminating repeating decimal expression

a)

b)

c)

d)

e)

f)

g)

Solution

Those rational number which can be expressed in form are terminating expression and those cannot be are non-terminating decimal expression

Terminating decimal: (a), (d)

Non-terminating repeating decimal: (b), (c), (e), (f), (g)

2. Rationalize the expression

a)

b)

Solution:

a)

3) Write 10 rational number between

a) 4 and 5

b) and

4) Represent in rational form.

a)

b)

C)

5) Prove that is a irrational number

**6) True or False statement**

a) Every Real number is a Rational numbers

b) Every irrational number is a Real numbers

C) Every whole number is a natural number

d) Every integer is a rational number

e) Every rational number is a whole number

f) There are infinite integers between two integers

g) There are finite rational number between 2 and 3

h) Can be expressed in the form ,so it is a rational number

Solution

a) False ,since real number includes both rational and irrational number

b) True

C) False as O is not natural number

d) True as any integer can be expressed in the form p/q

e) False

f) False. There are finite integer between two integers

g) False

h) False

**Multiple choice Questions**

7. Which is of these a irrational number

a)

b)

C)

d)

Solution (d)

8. Which is of these a rational number?

a)

b)

C)

d) None of these

Solution (b)

9) If and

Then what is the value of

a) 8

b) 10

c) 12

d) 14

Solution: c

**Simplify Following expression**

**1.**

**2.**

**3.**