maxi product
...12 9+ 3=12 10+ 2=12 11+ 1=12 12+ 0=12 Then times these numbers together like this: 0x12=0 1x11=11 2x10=20 3x 9=27 4x 8=32 5x 7=35 6x 6=36 maxi product 7x 5=35 8x 4=32 9x 3=27 10x 2=20 11x 1=11 12x 0=0 The highest number will be your maxi product (maxi nuber shown above) I then put this imformation into a graph Number 14 0+14=14 0+14=14 1+13=14 2+12=14 3+11=14 4+10=14 5+ 9=14 6+ 8=14 7+ 7=14 8+ 6=14 9+ 5=14 10+ 4 =14 11+ 3=14 12+ 2=14 13+ 1=14 14+ 0=14 1x13=0 2x12=13 3x11=24 4x10=33 5x 9=40 6x 8=48 7x 7=49 Maxi product 8x 6=48 9x 5=45 10x 4 =40 11x 3=33 12x 2=24 13x 1=13 14x 0= 0 Now I will do the same with 2 other even numbers and 2 even numbers. Number 8 0+8=8 1+7=8 2+6=8 3+5=8 4+4=8 5+3=8 6+2=8 7+1=8 8+0=8 0x8=0 1x7=7 2x6=12 3x5=15 4x4=16 Maxi product 5x3=15 6x2=12 7x1=7 8x0=0 Number 9 9 + 0 =9 8.5+ 0.5 =9 8 + 1 =9 7.5+ 1.5 =9 7 + 2 =9 6.5+ 2.5 =9 6 + 3 =9 5.5+ 3.5 =9 5 + 4 =9 4.5+ 4.5 =9 4 + 5 =9 3.5+ 5.5 =9 3 + 6 =9 2.5+ 6.5 =9 2 + 7 =9 1.5+ 7.5 =9 1 + 8 =9 0.5+ 8.5 =9 0 + 9 =9 9 x 0 =0 8.5x 0.5 =4.25 8 x 1 =8 7.5x 1.5 =11.25 7 x 2 =14 6.5x 2.5 =16.25 6 x 3 =18 5.5x 3.5 =19.25 5 x 4 =20 Maxi product 4.5x 4.5 =20.25 4 x 5 =20 3.5x 5.5 =19.25 3 x 6 =18 2.5x 6.5 =16.25 2 x 7 =14 1.5x 7.5 =11.25 1 x 8 =8 0.5x 8.5 =4.25 0 x 9 =0 Number 7 7 +0 =7 6.5+0.5= 7 6 +1 =7 5.5+1.5=7 5 +2 =7 4.5+2.5=7 4 +3 =7 3.5+3.5 = 7 3 +4 =7 2.5+4.5=7 2 +5 =7 1.5+5.5=7 1 +6 =7 0.5+6.5=7 0 +7 =7 7 x0 =0 6.5x0.5= 3.25 6 x1 =6 5.5x1.5=8.25 5 x2 =10 4.5x2.5=11.25 4 x3 =12 3.5x3.5 = 12.25 Maxi product 3 x4 =12 2.5x4.5=11.25 2 x5 =10 1.5x5.5=8.25 1 x6 =6 0.5x6.5=3.25 0 x7 =0 What I Notice: I notice that the Maxi Product is retrieved when the number is split up into three parts and then multiplied together. For example, 12, twelve will have a Maxi Product of 64 as a third of 12 is 4, and 4 multiplied by itself three times gives you 64. I will now test my theory. Testing my theory: The maximum product that can be retrieved by 8 is 18.963 (3dp). You get this by finding one third of 8 and then multiplying it by itself three times, which is 18.963 (3dp). I will prove this now. (1,6,1)= 8 à 1+6+1 à1x6x1=6 (2,5,1)= 8 à 2+5+1 à 2x5x1=10 (2,4,2)= 8 à 2+4+2 à 2x4x2=16 (3,3,2)= 8 à 3+3+2 à 3x3x2=18 I am now going to use decimal numbers as I have fo...