Worksheet 1.2Number Systems: the Real Number System

Maths Quest Maths C Year 11 for Queensland Chapter 1 Number Systems: The Real Number System WorkSHEET 1.21

WorkSHEET 1.2Number systems: The Real Number System

Name: ______

Maths Quest Maths C Year 11 for Queensland Chapter 1 Number Systems: The Real Number System WorkSHEET 1.21

1 / List the rational numbers from these:
3, , , 0.13, / The rational numbers are 3, , 0.13 / 1
2 / Which of these are irrational numbers?
, 2, , 0, , e = 2.718 28… / The irrational numbers are:
2, e / 1
3 / Given = {2, 3, 5, 7, 8, 9,10},
A = {2, 5, 7} and B = {7, 8, 9},
find AB / AB = {7} / 2
4 / Which of these elements of the set of numbers {, , , , } are surds? / = 10 (rational), not a surd
= 4.472 135 955… (irrational). Thus, it is a surd.
= (rational), not a surd.
= 2 (rational), not a surd.
= 5.567 764 363… (irrational). Thus, it is a surd. / 2
5 / Simplify. / =
= 4 / 1
6 / Express in simplest surd form.
4+ 2 7+ 5 / 4+ 2 7+ 5
= 4+ 2 7+ 5
= 4+ 2 2 7+ 5  2
= 4+ 4 7+ 10
= 8+ 3 / 2
7 / Express in simplest surd form.
3 2 / 3 2
= 3 2
= 3  2 2
= 6 2
= 12
= 12
= 12  3
= 36 / 2
8 / Express in simplest surd form.
/
=
=
=
=
=
= / 2
9 / Find the height of a triangle given its area is 28 cm2 and its base is 14 cm. Express the answer in the simplest surd form. / A =
28=  14h
28= 7h
h =
h =
h = 4 cm / 2