Maths

Power of Maths: Paper 1 – Section 1
Activity 4: Working with rationals
OBJECTIVE: To write numbers in decimal form as rationals
Complete the following:
1. 0∙17 = 1 × _____ + 7 × ________ = ________ + ________ = ________
100
2. 3∙29 = 3 × _____ + 2 × _____ + 9 × ________ = ________ + ________ + ________ = ________
100
3. 0∙623 = 6 × _____ + 2 × _____ + 3 × ________ = ________ + ________ + ________ = ________
1000
4. −61∙2 = −6 × _____ − 1 × _____ − 2 × ________ = − ________ − ________ − ________ = − ________
10
5. 0∙101 = 1 × _____ + 0 × _____ + 1 × ________ = ________ + ________ = ________
1000
Activity 5: Working with number systems
OBJECTIVE: To understand to which set a particular number belongs
1. Write down two examples of the following:
(a) Natural numbers
(b) Positive integers
(c) Negative integers
(d) Integers
(e) Rational numbers which are positive and
not natural numbers
(f) Rational numbers which are also integers
(g) Irrational numbers
(h) Real numbers
(i) Real numbers which are rational numbers but not integers
(j) Numbers in the set Z \ N
4