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**Metric Conversions and Calculating Density**

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**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-

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

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

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

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**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-

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**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-

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**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

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**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

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**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

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

970 𝑑𝑎𝐿 ( 1 𝑘𝐿 1000𝐿 ) = 0.97 kL

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

970 𝑑𝑎𝐿 ( 1 𝑘𝐿 100𝑑𝑎𝐿 ) = 0.97 kL

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**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-

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**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-

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**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-

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**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-

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**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

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**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

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**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.

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**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

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**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

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**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

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**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

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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!!)

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