Editing Numerical Tables

These tables should make approximating certain numerical formulas easier. Note that all of the numbers given are rounded to two significant digits. If higher accuracy is needed, find a calculator. 

An example of this would be calculating an average weigth in pounds for a human, given their height. First, measure how tall they are in increments of 9 inches (divide their height in inches by 9); so for someone 6 feet tall, they would start with 8 (72/9). Find this in the Linear column in the polynomial table. Look across to the x<sup>5/2</sup> column. This is a rough average weight for that height (180 in this case). If the height is between two numbers, the weight will be between those two entries in the x<sup>5/2</sup> column.

The polynomial table may me useful sometimes, but the exponential table can be useful in many more situations. For example, it can be used to multiply without actually doing the multiplication.

== Polynomial Table ==
{| border="1" style="text-align:center"
! Linear !! x<sup>1/2</sup> !! x<sup>3/2</sup> !! x<sup>2</sup> !! x<sup>5/2</sup> !! x<sup>3</sup> 
! Linear !! x<sup>1/2</sup> !! x<sup>3/2</sup> !! x<sup>2</sup> !! x<sup>5/2</sup> !! x<sup>3</sup> 
|-
! style="width:80px"|1 
| style="width:80px"|1 || style="width:80px"|1 || style="width:80px"|1 || style="width:80px"|1 || style="width:80px"|1 
! style="width:80px"|11 
| style="width:80px"|3.3 || style="width:80px"|36 || style="width:80px"|120 || style="width:80px"|400 || style="width:80px"|1300
|-
! 1.5 
| 1.2 || 1.8 || 2.3 || 2.8 || 3.4
! 11.5 
| 3.4 || 39 || 130 || 450 || 1500
|-
! 2 
| 1.4 || 2.8 || 4 || 5.7 || 8 
! 12 
| 3.5 || 42 || 140 || 500 || 1700
|-
! 2.5 
| 1.6 || 4 || 6.3 || 9.9 || 16 
! 12.5 
| 3.5 || 44 || 160 || 550 || 2000
|-
! 3 
| 1.7 || 5.2 || 9 || 16 || 27 
! 13 
| 3.6 || 47 || 170 || 610 || 2200
|-
! 3.5 
| 1.9 || 6.5 || 12 || 23 || 43 
! 13.5 
| 3.7 || 50 || 180 || 670 || 2500
|-
! 4 
| 2 || 8 || 16 || 32 || 64 
! 14 
| 3.7 || 52 || 200 || 730 || 2700
|-
! 4.5 
| 2.1 || 9.5 || 20 || 43 || 91 
! 14.5 
| 3.8 || 55 || 210 || 800 || 3000
|-
! 5 
| 2.2 || 11 || 25 || 56 || 130 
! 15 
| 3.9 || 58 || 230 || 870 || 3400
|-
! 5.5 
| 2.3 || 13 || 30 || 71 || 170 
! 15.5 
| 3.9 || 61 || 240 || 950 || 3700
|-
! 6 
| 2.4 || 15 || 36 || 88 || 220 
! 16 
| 4 || 64 || 260 || 1000 || 4100
|-
! 6.5 
| 2.5 || 17 || 42 || 110 || 270 
! 16.5 
| 4.1 || 67 || 270 || 1100 || 4500
|-
! 7 
| 2.6 || 19 || 49 || 130 || 340 
! 17 
| 4.1 || 70 || 290 || 1200 || 4900
|-
! 7.5 
| 2.7 || 21 || 56 || 150 || 420 
! 17.5 
| 4.2 || 73 || 310 || 1300 || 5400
|-
! 8 
| 2.8 || 23 || 64 || 180 || 510 
! 18 
| 4.2 || 76 || 320 || 1400 || 5800
|-
! 8.5 
| 2.9 || 25 || 72 || 210 || 610 
! 18.5 
| 4.3 || 80 || 340 || 1500 || 6300
|-
! 9 
| 3 || 27 || 81 || 240 || 730 
! 19 
| 4.4 || 83 || 360 || 1600 || 6900
|-
! 9.5 
| 3.1 || 29 || 90 || 280 || 860 
! 19.5 
| 4.4 || 86 || 380 || 1700 || 7400
|-
! 10 
| 3.2 || 32 || 100 || 320 || 1000 
! 20 
| 4.5 || 89 || 400 || 1800 || 8000
|-
! 10.5 
| 3.2 || 34 || 110 || 360 || 1200 
! 20.5 
| 4.5 || 93 || 420 || 1900 || 8600
|}

For numbers past the end of the table, simply multiply two numbers in the Linear column and multiply the corresponding numbers in one of the other columns. For example, 30 = 5*6, so 30<sup>3/2</sup> is approximately 11*15 = 165.

== Exponential Tables ==

{| border="1" style="text-align:center"
! Linear !! 2<sup>1/2</sup> !! 10<sup>1/3</sup> !! 10<sup>1/6</sup>
|-
| style="width:80px"|0 || style="width:80px"|1 || style="width:80px"|1 || style="width:80px"|1
|-
| 1 || 1.5 || 2 || 1.5
|-
| 2 || 2 || 5 || 2
|-
| 3 || 3 || 10 || 3
|-
| 4 || 4 || 20 || 4.5
|-
| 5 || 6 || 50 || 6.5
|-
| 6 || 8 || 100 || 10
|-
| 7 || 12 || 200 || 15
|-
| 8 || 16 || 500 || 20
|-
| 9 || 24 || 1000 || 30
|-
| 10 || 32 || 2000 || 45
|-
| 11 || 48 || 5000 || 65
|-
| 12 || 64 || 10000 || 100
|-
| 13 || 96 || 20000 || 150
|-
| 14 || 130 || 50000 || 200
|-
| 15 || 200 || 100000 || 300
|-
| 16 || 260 || 200000 || 450
|-
| 17 || 380 || 500000 || 650
|-
| 18 || 510 || 1000000 || 1000
|-
| 19 || 770 || 2000000 || 1500
|-
| 20 || 1000 || 5000000 || 2000
|-
| +2 || x2 || - || -
|-
| +3 || - || x10 || -
|-
| +6 || x8 || x100 || x10
|}