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^5/2 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^5/2 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

Linear	x1/2	x3/2	x2	x5/2	x3	Linear	x1/2	x3/2	x2	x5/2	x3
1	1	1	1	1	1	11	3.3	36	120	400	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 30^3/2 is approximately 11*15 = 165.

Exponential Tables

Linear	21/2	101/3	101/6
0	1	1	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