1. Metric Conversions and Calculating Density

2. Metric Base Units of Measure Mass = gram (g) Volume = liter (L)
Metric Base Units of Measure
Mass = gram (g)
Volume = liter (L)
Length = meter (m)
Time = second (s)
Know your metric prefixes
kilo-
hecto-
deka-
Base Unit (g/L/m/s)
deci-
centi-
milli-

3. Converting between metric units How many milligrams (mg) are in 14 grams (g)?

4. Converting between metric units How many milligrams (mg) are in 14 grams (g)?

5. Converting between metric units How many milligrams (mg) are in 14 grams (g)?

6. Converting between metric units How many milligrams (mg) are in 14 grams (g)?
14 g ( 𝑚𝑔 1 𝑔 ) = 14,000 mg
kilo-
hecto-
deka-
Base Unit (g/L/m/s)
deci-
centi-
milli-

7. Converting between metric units How many milligrams (mg) are in 14 grams (g)?
14 g ( 𝑚𝑔 1 𝑔 ) = 14,000 mg
kilo-
hecto-
deka-
Base Unit (g/L/m/s) 1
deci-
centi-
milli-

8. Converting between metric units How many milligrams (mg) are in 14 grams (g)?
14 g ( 𝑚𝑔 1 𝑔 ) = 14,000 mg
kilo-
hecto-
deka-
Base Unit (g/L/m/s) 1
deci
centi
milli

9. Converting between metric units How many milligrams (mg) are in 14 grams (g)?
14 g ( 𝑚𝑔 1 𝑔 ) = 14,000 mg
kilo-
hecto-
deka-
Base Unit (g/L/m/s) 1
deci
centi
milli

10. Converting between metric units How many milligrams (mg) are in 14 grams (g)?
14 g ( 𝑚𝑔 1 𝑔 ) = 14,000mgmg
kilo-
hecto-
deka-
Base Unit (g/L/m/s) 1
deci
centi
milli

11. How many kiloliters (kL) are in 970 dekaliters (daL)?
970 𝑑𝑎𝐿 ( 1 𝑘𝐿 1000𝐿 ) = 0.97 kL

12. How many kiloliters (kL) are in 970 dekaliters (daL)?
970 𝑑𝑎𝐿 ( 1 𝑘𝐿 100𝑑𝑎𝐿 ) = 0.97 kL

13. How many kiloliters (kL) are in 970 dekaliters (daL)?
970 𝑑𝑎𝐿 ( 1 𝑘𝐿 1000𝑑𝑎𝐿 ) = 0.97 kL
kilo- 1
hecto-
deka-
Base Unit (g/L/m/s)
deci-
centi-
milli-

14. How many kiloliters (kL) are in 970 dekaliters (daL)?
970 𝑑𝑎𝐿 ( 1 𝑘𝐿 1000𝑑𝑎𝐿 ) = 0.97 kL
kilo- 1
hecto- 0
deka- 0
Base Unit (g/L/m/s)
deci-
centi-
milli-

15. How many kiloliters (kL) are in 970 Liters (L)?
970 𝑑𝑎𝐿 ( 1 𝑘𝐿 1000𝑑𝑎𝐿 ) = 0.97 kL
kilo- 1
hecto- 0
deka- 0
Base Unit (g/L/m/s)
deci-
centi-
milli-

16. How many kiloliters (kL) are in 970 Liters (L)?
970 𝑑𝑎𝐿 ( 1 𝑘𝐿 1000𝑑𝑎𝐿 ) = kL
kilo- 1
hecto- 0
deka- 0
Base Unit (g/L/m/s)
deci-
centi-
milli-

17. 4.5 kg  g 190 cL  hL 7 dam  dm 86 L  cL 32 m  mm 2.6 kg  mg
Now you try a few; Convert the following measurements. Remember to show ALL work.
4.5 kg  g 190 cL  hL 7 dam  dm 86 L  cL 32 m  mm 2.6 kg  mg

18. A Few More Practice Problems for HOMEWORK
19 kg  g 47 hL  cL 2.8 mm  dam 3 L  cL 5.6 m  km 2,470 ms  s

19. Density – the ratio of the mass of a substance to the volume of the substance.
Calculate the density of a sample that has a mass of 26 g and a volume of 19 mL.
   

20. Density – the ratio of the mass of a substance to the volume of the substance.
Calculate the density of a sample that has a mass of 26 g and a volume of 19 mL.
 D= 𝑀 𝑉  

21. Density – the ratio of the mass of a substance to the volume of the substance.
Calculate the density of a sample that has a mass of 26 g and a volume of 19 mL.
 D= 𝑀 𝑉 D= 26𝑔 19 𝑚𝐿  

22. Density – the ratio of the mass of a substance to the volume of the substance.
Calculate the density of a sample that has a mass of 26 g and a volume of 19 mL.
 D= 𝑀 𝑉 D= 26𝑔 19 𝑚𝐿 = 1.37  

23. Density – the ratio of the mass of a substance to the volume of the substance.
Calculate the density of a sample that has a mass of 26 g and a volume of 19 mL.
 D= 𝑀 𝑉 D= 26𝑔 19 𝑚𝐿 = 1.37 g/mL  

24. Now you try…
A sample of water has a mass of 14 g. When placed in a graduated cylinder, the volume of the water reads 14 ml. What is the density of water? A sample of iron has a volume of 4 mL. If the sample has a mass of 0.31 hg. What is the density of the iron given in units of g/ml? (you must first convert hg to g!) A sample of silver has a volume of .22 L. If the sample has a mass of 2.3 Kg. What is the density of the silver given in units of g/ml? (you must first convert L to mL and Kg to g!!)