Algebraic Entertainments
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Algebraic Entertainments Establishing Algebraic shortcuts The Mysterious Number 22 Finding Patterns Geometric View Of Algebra
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Transcript of Algebraic Entertainments
Algebraic EntertainmentsEstablishing Algebraic
shortcutsThe Mysterious Number
22
Finding PatternsGeometric View Of Algebra
Establishing Algebraic shortcuts
362 - 352=?Factorizing The Difference Of
Two Squares………..x2-y2=(x-y)(x+y)362-352=(36-35)(36+35)=(1)(71)=71
Distributive Property For Multiplying8x67=?
67=70-3Now…8(70)-8(3)
=560-24=536
36x14=?14=10+4
Now…36(10)+36(4)
=360+144=504
Mysterious Number 22Take any 3-digit number Example 365Sum of all possible two digit number36+35+63+65+53+56=308Now 3+6+5=14 Then........ 308 14=22
FINDING PATTERNSTriangular numbers
Square Numbers
Pentagonal Numbers
Hexagonal Patterns
Serial Number
Triangular Square Pentagonal Hexagonal
1 1 1 1 1
2 3 4 5 6
3 6 9 12 15
4 10 16 22 28
5 15 25 35 45
N N(N+1)/2 N(2N-0)/2 N(3N-1)/2 N(4N-2)/2
