ICSE 9 Maths
Rational and Irrational Numbers
Question 1:
Are the following statements true or false? Give reasons for your answers.
(i) Every whole number is a natural number.
(ii) Every whole number is a rational number.
(iii) Every integer is a rational number.
(iv) Every rational number is a whole number.
Question 2:
Prove that is irrational.
Question 3:
Insert a rational and an irrational number between 5 and 6.
Question 4:
Insert two rational and two irrational numbers between and
.
Question 5:
If ,find the value of
Question 6:
Find the values of `a’ and `b’:
Question 7:
Simplify: +
Question 8:
Rationalize the denominator:
Question 9:
If a= and b=
,find
and
Question 10:
Arrange ,
,
in the ascending order.
Question 11:
Arrange in the descending order.
Question 12:
Which of the following is greater?
and 5
Question 13:
Find the square of:
Question 14:
Prove that is irrational
Question 15:
Find the least rationalizing factor of:
3
Question 16:
Rationalize the denominator of .
Question 17:
State true or false:
Negative of an irrational number is rational.
Question 18:
Show that m is rational, if .
Question 19:
Find the lowest rationalizing factor of:
3
Question 20:
Find the value of m:
.
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All About Daily Practice Problems on ICSE 9 Maths Rational and Irrational Numbers NCERT Chapter 1
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