Number Systems
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NAME__________________________________
PEARL ACADEMY Anjali Apartment Near Sapna Hall Makarpura road Vadodara-390 009 Cell:-9825283326 9426765811
NUMBER SYSTEMS Practice Exercise - l ___________________________________________________________________________________
Q-1.Find five rational numbers between 4 7 and 5 5 ii. 4 and 5 iii. 1 and 2 2 5 iv. and 3 3 11 12 v. and 13 13 Q-2.Convert the following into decimal form i.
i. ii. iii. iv. v.
2 3 3 4 22 7 11 27 155 18
Q-3.Express the following in the form i. ii. iii. iv. v. Q-4.Show that
p q
0.7 18.48 0.23 0.67 32.1235
2 is not a rational number.
Q-5.Show that 3 3 is not a rational number.
Q-6.Give an example in each case. i. ii. iii. iv. v. vi.
Difference of two irrational numbers is a rational number Difference of two irrational numbers is an irrational number Difference of one rational and one irrational number is always irrational number Sum of one rational and one irrational number is always irrational number. Sum of two irrational numbers is a rational number Sum of two irrational numbers is an irrational number.
Q-7.Find a rational and an irrational number between two positive numbers a and b. Q-8.Find an irrational number between i. ii. iii. iv. v.
1 and 2 1 and 3 3 and 4 5 and 6 7 and 8
Q-9.Represent 2 , 3 and
6 on a number line.
Q-10.State with reasons whether the following statements are true or false. i. ii. iii. iv. v. vi. vii. viii. ix. x.
Every irrational number is a real number Every point on the number line is of the form m where m is a natural number. Every real number is an irrational number. There is no rational number between two irrational numbers The only real numbers are rational. 1 is a prime number 27 is a composite number. Quotient of a rational and an irrational number is an irrational Every non terminating decimal can be written as a periodic decimal. The reciprocal of an irrational number is an irrational. ********* *******************
PEARL ACADEMY Anjali Apartment Near Sapna Hall Makarpura road Vadodara-390 009 Cell:-9825283326 9426765811
NUMBER SYSTEMS Practice Exercise - l ___________________________________________________________________________________
Q-1.Find five rational numbers between 4 7 and 5 5 ii. 4 and 5 iii. 1 and 2 2 5 iv. and 3 3 11 12 v. and 13 13 Q-2.Convert the following into decimal form i.
i. ii. iii. iv. v.
2 3 3 4 22 7 11 27 155 18
Q-3.Express the following in the form i. ii. iii. iv. v. Q-4.Show that
p q
0.7 18.48 0.23 0.67 32.1235
2 is not a rational number.
Q-5.Show that 3 3 is not a rational number.
Q-6.Give an example in each case. i. ii. iii. iv. v. vi.
Difference of two irrational numbers is a rational number Difference of two irrational numbers is an irrational number Difference of one rational and one irrational number is always irrational number Sum of one rational and one irrational number is always irrational number. Sum of two irrational numbers is a rational number Sum of two irrational numbers is an irrational number.
Q-7.Find a rational and an irrational number between two positive numbers a and b. Q-8.Find an irrational number between i. ii. iii. iv. v.
1 and 2 1 and 3 3 and 4 5 and 6 7 and 8
Q-9.Represent 2 , 3 and
6 on a number line.
Q-10.State with reasons whether the following statements are true or false. i. ii. iii. iv. v. vi. vii. viii. ix. x.
Every irrational number is a real number Every point on the number line is of the form m where m is a natural number. Every real number is an irrational number. There is no rational number between two irrational numbers The only real numbers are rational. 1 is a prime number 27 is a composite number. Quotient of a rational and an irrational number is an irrational Every non terminating decimal can be written as a periodic decimal. The reciprocal of an irrational number is an irrational. ********* *******************
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