METRIC CONVERSIONS AND CALCULATING DENSITY

 

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-

Converting between metric unitsHow many milligrams (mg) are in 14 grams (g)?

14 g

Converting between metric unitsHow many milligrams (mg) are in 14 grams (g)?

14 g ( ) =

Converting between metric unitsHow many milligrams (mg) are in 14 grams (g)?

14 g ( ) =

Converting between metric unitsHow many milligrams (mg) are in 14 grams (g)?

14 g ( ) = 14,000 mg

kilo-hecto-deka-Base Unit (g/L/m/s)deci-centi-milli-

Converting between metric unitsHow many milligrams (mg) are in 14 grams (g)?

14 g ( ) = 14,000 mg

kilo-hecto-deka-Base Unit (g/L/m/s) 1deci-centi-milli-

Converting between metric unitsHow many milligrams (mg) are in 14 grams (g)?

14 g ( ) = 14,000 mg

kilo-hecto-deka-Base Unit (g/L/m/s) 1deci- 0centi- 0milli- 0

Converting between metric unitsHow many milligrams (mg) are in 14 grams (g)?

14 g ( ) = 14,000 mg

kilo-hecto-deka-Base Unit (g/L/m/s) 1deci- 0centi- 0milli- 0

Converting between metric unitsHow many milligrams (mg) are in 14 grams (g)?

14 g ( ) = 14,000mgmg

kilo-hecto-deka-Base Unit (g/L/m/s) 1deci- 0centi- 0milli- 0

How many kiloliters (kL) are in 970 dekaliters (daL)?

 

 

) = 0.97 kL 

 

How many kiloliters (kL) are in 970 dekaliters (daL)?

 

 

) = 0.97 kL 

 

How many kiloliters (kL) are in 970 dekaliters (daL)?

 

 

) = 0.97 kL 

 

kilo- 1hecto-deka-Base Unit (g/L/m/s) deci- centi- milli-

How many kiloliters (kL) are in 970 dekaliters (daL)?

 

 

) = 0.97 kL 

 

kilo- 1hecto- 0deka- 0Base Unit (g/L/m/s) deci- centi- milli-

How many kiloliters (kL) are in 970 Liters (L)?

 

 

) = 0.97 kL 

 

kilo- 1hecto- 0deka- 0Base Unit (g/L/m/s) deci- centi- milli-

How many kiloliters (kL) are in 970 Liters (L)?

 

 

) = 9.7 kL 

 

kilo- 1hecto- 0deka- 0Base Unit (g/L/m/s) deci- centi- milli-

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

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

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.

 

  

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= 

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= D=  

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= D= = 1.37 

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= D= = 1.37 g/mL 

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!!)