1 Press Ctrl-A ©G Dear 2008 – Not to be sold/Free to use Multiplication Index Notation Stage 6 -...
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Transcript of 1 Press Ctrl-A ©G Dear 2008 – Not to be sold/Free to use Multiplication Index Notation Stage 6 -...
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©G Dear 2008 – Not to be sold/Free to use
MultiplicationMultiplicationIndex NotationIndex Notation
Stage 6 - Year 11Stage 6 - Year 11
General MathematicsPreliminary
2
Multiplication 1/1
crossedwith
aProduce
a
Horse x Donkey = Muleor
Horse x Donkey = Horse/Donkey
i.e. h x d = hd
3
Index Notation – Index Form
1. a7 =a x a x a x a x a x a x a
2. b3 = b x b x b
3. a2b3 =a x a x b x b x b
4. 3c4d3 = 3 x c x c x c x c x d x d x d
4
Index Notation – Index Form
1. m x m x m x m =m4
2. b x b x b x b x b x b x b =b7
3. 3 x a x a x 4 x b x b x b =12a2b3
4. 3 x f x 2 x f x 4 x f = 24f3
5
Index Laws – Multiplication
ax x ay = ax+y
1. b2 x b5 = b7 2. m18 x m2 =m20
3. h8 x h2 x h5 = h15
4. 2a3 x 3a4 = 6a7
5. 4m8 x 3m3 x 5m =60m12
6
Index Laws – Division
ax ÷ ay = ax-y
1. b12 ÷ b5 = b7 2. m8 ÷ m12 =m-4
3. h8 ÷ h2 ÷ h5 = h1
4. 24a9 ÷ 3a4 =8a5
5. 48m8 ÷ 12m2 ÷ m =4m5
= h
7
Index Laws – Powers
(ax)y = axy
1. (b12)5 = b60 2. (m8)2 = m16
3. (3h8)2 = (3)2 (h8)2 =
4. (2a9b4)3 = (2)3 (a9)3 (b4)3
5. (3x3y5z)4 = (3)4 (x3)4 (y5)4 (z1)4
9 h16
= 81x12y20 z4
= 8a27b12