10^3=10^6 mm
10^-3=10^3 mg
1 mg=10^-4 g
1 km=10^5 mm
1 mL=10^-3 dm^3
1 day = 24 hours = 1440 minutes = 86,400 seconds
1 pound (lb) = 16 ounces (oz)
1 ton = 2000 pounds
1 gallon (gal) = 128 fluid ounces (fl oz)
1 liter (L) = 1000 milliliters (mL)
1 meter (m) = 100 centimeters (cm) = 1000 millimeters (mm)
To convert the given quantities, you can use the rules of exponents and conversion factors. Here are the step-by-step conversions:
1. Convert 10^3 (10 raised to the power of 3) mm to m:
- There are 1000 millimeters (mm) in 1 meter (m).
- So dividing 10^3 by 1000 gives you 10^0 or 1.
- Therefore, 10^3 mm = 1 m.
2. Convert 10^-3 (10 raised to the power of -3) mg to g:
- There are 1000 milligrams (mg) in 1 gram (g).
- So dividing 10^-3 by 1000 gives you 10^-6.
- Therefore, 10^-3 mg = 10^-6 g.
3. Convert 1 mg to g:
- According to the given conversion, 1 mg = 10^-4 g.
- Therefore, 1 mg = 10^-4 g.
4. Convert 1 km to mm:
- There are 1000 meters (m) in 1 kilometer (km).
- There are 1000 millimeters (mm) in 1 meter (m).
- So multiplying 1 km by 1000 and then multiplying by 1000 gives you 10^5 mm.
- Therefore, 1 km = 10^5 mm.
5. Convert 1 mL to dm^3:
- There are 1000 milliliters (mL) in 1 liter (L).
- There are 1000 cubic centimeters (cm^3) in 1 liter (L).
- There are 10 cubic centimeters (cm^3) in 1 decimeter (dm^3).
- So dividing 1 mL by 1000 and then dividing by 1000 and then dividing by 10 gives you 10^-3 dm^3.
- Therefore, 1 mL = 10^-3 dm^3.