Hi Patricia.
If you know how to work with exponents, you can work with any metric prefixes easily. Just remember that when multiplying 10^{a } times 10^{b }, the answer is 10^{a+b }, but watch your signs. When you divide 10^{a } over 10^{b }, the answer is 10^{ab }.
Here is a list of all the metric prefixes that I know of and the exponents associated with each:
yotta (Y) 
10^{24} 
1 septillion 
zetta (Z) 
10^{21} 
1 sextillion 
exa (E) 
10^{18} 
1 quintillion 
peta (P) 
10^{15} 
1 quadrillion 
tera (T) 
10^{12} 
1 trillion 
giga (G) 
10^{9} 
1 billion 
mega (M) 
10^{6} 
1 million 
kilo (k) 
10^{3} 
1 thousand 
hecto (h) 
10^{2} 
1 hundred 
deka (da)** 
10 
1 ten 
deci (d) 
10^{1} 
1 tenth 
centi (c) 
10^{2} 
1 hundredth 
milli (m) 
10^{3} 
1 thousandth 
micro (µ) 
10^{6} 
1 millionth 
nano (n) 
10^{9} 
1 billionth 
pico (p) 
10^{12} 
1 trillionth 
femto (f) 
10^{15} 
1 quadrillionth 
atto (a) 
10^{18} 
1 quintillionth 
zepto (z) 
10^{21} 
1 sextillionth 
yocto (y) 
10^{24} 
1 septillionth 
The way to work with this table is to convert the prefixes to exponents. I'll do this with your question #4, you do it for the others:
Question 4 asks us to convert 5.25 x 10^{7} Gs to ds.
"Gs" is gigaseconds, that's 10^{9} seconds. "ds" is deciseconds, that's 10^{1} seconds.
So
5.25 x 10^{7} (x10^{9}) seconds
= 5.25 x (10^{7} x 10^{9}) seconds
= 5.25 x 10^{7+9} seconds
= 5.25 x 10^{2} seconds.
Now convert to deciseconds (ds). To do this, we divide instead of multiplying:
5.25 x 10^{2} seconds
= 5.25 x 10^{2} (/10^{1}) ds
= 5.25 x 10^{2(1)} ds
= 5.25 x 10^{3} ds.
That's how it is done. Try this for the other questions.
Sue
