how do i convert these

0.25g = how many cgs
400 cm^3 = how many Ls
and 400 cm^3 = how many m^3s?

1g = 100 cg --> 0.25g x 100cg/g = 25 cg

1mL = 1 cm^3, 1L = 1000mL, you figure the rest out.

1 m = 100 cm, 1 m^2 = (100 cm)^2 = 10,000 cm^2, you figure the rest out.

Good luck!

i have no idea what to do for the last 2 and what you did

Use conversion factors.

10 dimes = $1.00
How many dimes in $10.00?
# dimes = $10.00 x (10 dimes/$1.00) = 100.
Note that the unit we want to change cancels (the dollar in the numerator--that's the $10.00 in the numerator and the $1.00 in the denominator. The unit cancels, not the quantity. Then the unit we want to change TO is kept--it doesn't cancel.). It always works that way. Now to the g to cg problem you have.
1 g = 100 cg so we can get two conversion factors out of that. One is
1g/100 cg. The other one is
100 cg/1g. Now all we need to do is to figure which conversion factor to use. Let's try them both and see if we know which to use.
0.25 g x (1g/100 cg) = ??
OR
0.25 g x (100 cg/1 g)= ??
Look at the units. For the first one we have g*g/cg which is g^2/cg. That can't be right. We wanted cg for units. Try the second one.
The units for the second one are g*cg/g = ??.The g in the top cancels with g in the bottom and we are left with cg. That's what we wanted. So 0.25 g x (100 cg/g) = 25 cg.

400 cm^3 = 400 cc (cc is easier to write than cm^3).
1 cc = mL. 1000 mL = 1 L
400 cc x (1 mL/1 cc) x (1 L/1000 mL) = ??
See the first factor converts cc to mL and the second factor converts mL to L. The answer is 0.400 L.

The last one. 400 cm^3 to m^3
There are 100 cm in 1 m so the conversion factor is (100 cm/1 m) OR (1 m/100 cm). But note this is cubic meters and cubic centimeters whereas 100 cm/1m is a linear term, not a volume term. But we can fix that.
400 cm^3 x (1 m/100 cm) x (1 m/100cm) x (1 m/100 cm) = ??
If we just focus on the units (not worry about the numbers just yet), we have
cm^3 x (1m/100cm)*(1m/100cm)*(1m/100cm)=
cm*cm*cm (that's what cm^3 is) (m*m*m/cm*cm*cm) = m*m*m or m^3. So the cm^3 cancels and is replaced with m^3. The numbers are 400*1*1*1/100*100*100 = 4 x 10^-4 m^3 = 0.0004 m^3
Check my work and my thinking.

To convert the given quantities, you need to understand the relationships between the different metric system units. Let's break down each conversion step by step:

1. Converting grams (g) to centigrams (cg):
- The prefix "centi" means 1/100th or 0.01.
- So, 1 centigram (cg) is equal to 0.01 gram (g).
- To convert grams to centigrams, you multiply by 100 (or move the decimal point two places to the right).
- In this case, to convert 0.25 grams to centigrams, you multiply 0.25 by 100.
- The calculation is: 0.25 g x 100 = 25 cg.
- Therefore, 0.25 grams is equal to 25 centigrams.

So, the answer to the first conversion is: 0.25 g = 25 cg.

2. Converting cubic centimeters (cm³) to liters (L):
- The prefix "centi" means 1/100th or 0.01.
- So, 1 liter (L) is equal to 1000 cubic centimeters (cm³).
- To convert cubic centimeters to liters, you divide by 1000 (or move the decimal point three places to the left).
- In this case, to convert 400 cubic centimeters to liters, you divide 400 by 1000.
- The calculation is: 400 cm³ ÷ 1000 = 0.4 L.
- Therefore, 400 cubic centimeters is equal to 0.4 liters.

So, the answer to the second conversion is: 400 cm³ = 0.4 L.

3. Converting cubic centimeters (cm³) to cubic meters (m³):
- The prefix "centi" means 1/100th or 0.01.
- The prefix "kilo" means 1000 or 10³.
- So, 1 cubic meter (m³) is equal to 1,000,000 cubic centimeters (cm³), or 10³ x 10³ cm³.
- To convert cubic centimeters to cubic meters, you divide by 1,000,000 (or move the decimal point six places to the left).
- In this case, to convert 400 cubic centimeters to cubic meters, you divide 400 by 1,000,000.
- The calculation is: 400 cm³ ÷ 1,000,000 = 0.0004 m³.
- Therefore, 400 cubic centimeters is equal to 0.0004 cubic meters.

So, the answer to the third conversion is: 400 cm³ = 0.0004 m³.

I hope this helps! Let me know if you have any more questions.