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Metric Conversions and Calculating Density

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Presentation on theme: "Metric Conversions and Calculating Density"β€” Presentation transcript:

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 ( π‘šπ‘” 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 ( π‘šπ‘” 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 ( π‘šπ‘” 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 ( π‘šπ‘” 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 ( π‘šπ‘” 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 π‘‘π‘ŽπΏ ( 1 π‘˜πΏ 1000𝐿 ) = 0.97 kL

12 How many kiloliters (kL) are in 970 dekaliters (daL)?
970 π‘‘π‘ŽπΏ ( 1 π‘˜πΏ 100π‘‘π‘ŽπΏ ) = 0.97 kL

13 How many kiloliters (kL) are in 970 dekaliters (daL)?
970 π‘‘π‘ŽπΏ ( 1 π‘˜πΏ 1000π‘‘π‘ŽπΏ ) = 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 π‘‘π‘ŽπΏ ( 1 π‘˜πΏ 1000π‘‘π‘ŽπΏ ) = 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 π‘‘π‘ŽπΏ ( 1 π‘˜πΏ 1000π‘‘π‘ŽπΏ ) = 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 π‘‘π‘ŽπΏ ( 1 π‘˜πΏ 1000π‘‘π‘ŽπΏ ) = kL kilo- 1 hecto- 0 deka- 0 Base Unit (g/L/m/s) deci- centi- milli-

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

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

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. Β D= 𝑀 𝑉 Β 

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. Β D= 𝑀 𝑉 D= 26𝑔 19 π‘šπΏ Β 

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. Β D= 𝑀 𝑉 D= 26𝑔 19 π‘šπΏ = 1.37 Β 

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. Β D= 𝑀 𝑉 D= 26𝑔 19 π‘šπΏ = 1.37 g/mL Β 

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!!)


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