Calculations by Wolf
Table: (Prefixes)
Tm
Gm
Mm
Km
-mm
ųm
Nm
Pm
(Terra)
(Giga)
(Mega)
(Kilo)
(Zeroline)
(Mili)
(Micro)
(Nano)
(Pico)
Km
Hm
Dam
m
Dm
Cm
mm
Each step - normally - in the big table is 3 zero's.
When there is a power, the 3 zero's are multiplied by the value of
this power.
Tm^2 = 2x3 = 6 zero's per step
Tm^3 = 3x3 = 9 zero's per step
Tm^7 = 7x3 = 21 zero's per step
Write this down as x10^3
When moving two units down, from Tm to Mm, write down x10^6
When moving two units down and the powers are ^7 write down x10^42
It is always: The amount of steps x 3 x the power. (In the big
table)
When moving up, it is exactly the same - but the powers become
negative.
x10^21 becomes x10^-21 when moving up.
Each step in the small table is 1 zero.
It works exactly the same as written above.
Dam^2 = 1x2 = 2 zero's per step
And moving down and up can change the positive or negative.
You should know that the small table is a magnified view of the
units Km to mm.
THERE IS NO DIFFERENCE IN THE TABLES!
You can just move from one table to the other!
Only - you should keep in mind that the zero's per step change.
When moving from the big units to the small units, this happens:
Tm to Km = 3 steps. Now from here there are two LITTLE steps to Dam.
The steps from Tm to Km were 3 zero's each. The steps from Km to Dam
were 1 zero each. You can just count them up!
Always right down the scientific way. One whole number with a comma.
8124 = 8,124
491857643 = 4,91857643
0,0214 = 2,14
0,0000001 = 1,0
But when we do this, we have to keep in mind that we need to turn
this change back.
0,0214 = 2,14 x10^-2 (The number on the right of the x10^ indicates
how many zero's there are before the first whole number.)
225 = 2,25 x10^2
(The number on the right of the x10^ indicates
how many places the comma needs to move to get the old number.)
m
s
g
b
=
=
=
=
Meter
Second
Grams
Byte
(Those units don't change anything in the calculations)
Exercises: (Answers further in this document)
1.
244 Tm =
Gm
2.
321 Gm =
Pm
3.
0,022 Pm =
Km
4.
303 Dam =
Dm
5.
0,21 Cm =
Hm
6.
2123 Dm =
Km
7.
51,45 Km =
mm
8.
212 Ms =
Das
9.
23,55 Gg =
Cg
10.
11.
12 Tm^2 =
0,0000234 Gm^3 =
Pm^2
12.
291,41 Ms^9 =
Ts^9
13.
999 Pm^18 =
Gm^18
14.
123 Ks^2 =
Hs^2
15.
2,31 Hg^3 =
Dg^3
16.
122 Tm^4 =
Cm^4
17.
0,19 Pb^2 =
Dab^2
18.
12412,654632 Tb^23 =
Good luck ;)
Tm^3
Hb^23
Answers: (My answers are without brackets)
1. 224 Tm = 2,24 x10^2 x 10^3 = 2,24 x10^5 Gm
2. 321 Gm = 3,21 x10^2 x 10^21 = 3,21 x10^23 Pm
3. 0,022 Pm = 2,2 x10^-2 x 10^-15 = 2,2 x10^-17 Km
4. 303 Dam = 3,03 x10^2 x 10^2 = 3,03 x10^4 Dm
5. 0,21 Cm = 2,1 x10^-1 x 10^-4 = 2,1 x10^-5 Hm
6. 2123 Dm = 2,123 x10^3 x 10^-4 = 2,123 x10^-1 Km
7. 51,45 Km = 5,145 x10^1 x 10^6 = 5,145 x10^7 mm
8. 212 Ms = 2,12 x10^2 x 10^3 x10^2 = 2,12 x10^7
Das
9. 23,55 Gg = 2,355 x10^1 x10^9 x10^2 = 2,355
x10^12 Cg
10. 12 Tm^2 = 1,2 x10^1 x 10^48 = 1,2 x10^49 Pm^2
11. 0,0000234 Gm^3 = 2,34 x10^-5 x 10^-9 = 2,34
x10^-14 Tm^3
12. 291,41 Ms^9 = 2,9141 x10^2 x10^-54 = 2,9141
x10^-52 Ts^9
13. 999 Pm^18 = 9,99 x10^2 x10^-378 = 9,99 x10^-376
Gm^18
14. 123 Ks^2 = 1,23 x10^2 x10^2 = 1,23 x10^4 Hs^2
15. 2,31 Hg^3 = 2,31 x10^9 Dg^3
16. 122 Tm^4 = 1,22 x10^2 x10^48 x10^8 = 1,22
x10^58 Cm^4
17. 0,19 Pb^2 = 1,9 x10^-1 x10^-24 x10^-2 = 1,9
x10^-27 Dab^2
18 12412,654632 Tb^23 = 1,2412654632 x10^4 x10^207
x10^23 = 1,2412654632 x10^234 Hb^23
I make mistakes all the time.
If you can find a mistake, I'll treat you!