Cambridge International Mathematics

10 Assumed Knowledge (Number)

MULTIPLICATION

Tomultiplytwo fractions, we first cancel any common factors in the numerator and denominator. We

then multiply the numerators together and the denominators together.

Example 14 Self Tutor

Find: a^14 £^23 b (3^12 )^2

a^14 £^23

=^14 £^23

=^16

b (3^12 )^2

=3^12 £ (^312)
=^72 £^72
=^494 or (^1214)
DIVISION
Todivideby a fraction, we multiply the number by the reciprocal of the fraction we are dividing by.
Example 15 Self Tutor
Find: a 3 ¥^23 b 213 ¥^23
a 3 ¥^23
=^31 ¥^23
=^31 £^32
=^92
=4^12
b 213 ¥^23
=^73 ¥^23
=^73 £^32
=^72
=3^12
1 Find:
a 135 + 137 b 169 + 162 c^38 +^14 d^25 +^16
e^37 +4 f 113 +^56 g 213 +1^16 h 112 +4^23
2 Find:
a 117 ¡ 113 b^56 ¡^23 c^49 ¡^13 d 1 ¡^38
e 4 ¡ 214 f 235 ¡ 112 g 313 ¡ 112 h 437 ¡ (^213)
3 Calculate:
a 152 £^56 b^67 £^13 c 3 £^36 d^23 £ 7
e 113 £^67 f 118 £^49 g (2^12 )^2 h (1^13 )^3
Cancel any common
factors before completing
the multiplication.
The reciprocal of
c
dis
d
c.
2
1
1
1
EXERCISE D
IGCSE01
cyan magenta yellow black
(^05255075950525507595)
100 100
(^05255075950525507595)
100 100
Y:\HAESE\IGCSE01\IG01_AS\010IGCSE01_AS.CDR Wednesday, 10 September 2008 2:11:11 PM PETER
(Page included on the Student CD only)