Worksheet – Number Systems
1. What is the decimal expansion of the fraction
a)
b)
c)
d)
2. What is the value of the expression
a)
b)
?
?
c) 1
d) 3
3. Which of the following fractions has its decimal equivalent as 0.678678678…?
a)
b)
c)
d)
3. Which of the following numbers is irrational?
a) 0.0834508345…. b) 0.89633337006…. c) 0.964964964….
d) 0.843884388438….
5. Which of the following numbers is an irrational number that lies between the fractions
?
a) 0.150151152… b) 0.286286…
c) 0.35363738…
d) 0.42714271…
6. What is the simplified form of the expression
a)
b)
c)
d)
7. The expression
a)
?
can be rationalised as
b)
c)
d)
8. If r is a rational number and s is an irrational number, then the value of which of the
following expressions can be a rational number?
b) r – s
a) r + s
c) rs
d)
9. Which of the following numbers is not a rational number?
a)
b) 4
c)
10. What is the value of the expression
d)
?
a) 14
b) 15
c) 16
11. Which of the following numbers lies between
a) 3.27
b) 3.8
c) 4.28
d) 4.4
d) 17
and
?
12. Which of the following statements is incorrect?
a) The sum of a rational number and an irrational number is irrational.
b) The product of a non-zero rational number and an irrational number is irrational.
c) Irrational numbers are not closed under addition and subtraction.
d) Irrational numbers are closed under multiplication.
13. The expression
a)
can be rationalised as
b)
c)
d)
14. What is the simplest fractional form of the number
a)
b)
c)
d)
15. Simplify the following expression :
16. If
, then find the value of
17. Find the value of 3(3/4) X 3(9/4) ÷ 33
?
.