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Metrics – Density - Graphs Chapter 1. Metrics (SI) Most other nations use the metric system System of measurement based on multiples of ten.

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Presentation on theme: "Metrics – Density - Graphs Chapter 1. Metrics (SI) Most other nations use the metric system System of measurement based on multiples of ten."— Presentation transcript:

1 Metrics – Density - Graphs Chapter 1

2 Metrics (SI) Most other nations use the metric system System of measurement based on multiples of ten.

3 B. SI Units QuantityBase UnitSymbol Length Mass Volume Time meter kilogram liter second m kg L s TempKelvinK

4 B. SI Units deci-d10 -1 centi-c10 -2 milli- m10 -3 PrefixSymbolFactor kilo-k10 3 1 khdbdcm Earth: Length Lab 10 1 10 2

5 A. SI Prefix Conversions 1. Find the difference between the exponents of the two prefixes. 2. Move the decimal that many places. To the left or right?

6 A. SI Prefix Conversions khdbdcm 532 m = _______ km 0.532

7 A. SI Prefix Conversions 1) 20 cm = ______________ m 2) 0.032 L = ______________ mL 3) 45 kg = ______________ g 4) 805 dm = ______________ km 0.2 0.0805 45,000 32 khdbdcm

8 Prefix Conversions Assume your mass is 55 kg. How many grams do you weigh? khdbdcm

9 B. Dimensional Analysis Steps: 1. Identify starting & ending units. 2. Line up conversion factors so units cancel. 3. Multiply all top numbers & divide by each bottom number. 4. Check units & answer.

10 B. Dimensional Analysis Lining up conversion factors: 1 L = 1000 ml 1000 ml 1 L = 1

11 B. Dimensional Analysis How many milliliters are in 15 liters of Mt. Dew? 15 L = 15,000 mL LmL 1000 mL 1 L

12 B. Dimensional Analysis Your European hairdresser wants to cut your hair 8 cm shorter. How many mm will he be cutting off? 8 cm10 mm 1 cm = 80 mm  cm mm

13 B. Dimensional Analysis 6) How many millimeters long is a 5K (5 km) race? 5 km 1000 m 1 km = 5,000,000 mm kmmm 1000mm 1 m

14 Measuring Volume Volume - amount of space occupied by an object Volume of a solid rectangle (V = l x w x h) 1 mL = 1 cm 3 1000 mL = _____L 1 L = _______ cm 3 1000 cm 3 = ______ dm 3 1.5 Liters = ______cm 3 1.5 Liters = ______dm 3 Determine Book’s Volume

15 Measuring Volume Odd shape solid Method: water displacement Initial Volume ____ Final Volume ____ Object’s Volume ____

16 Measuring Mass Mass is a measurement of the quantity of matter in an object.

17 Density Density - mass per unit volume (g/cm 3 ) - (g/mL) D =D = MVMV D M V

18 D = g/cm3 or g/mL M = g V = cm3 or mL

19 D. Density 2) You have a sample with a mass of 620 g & a volume of 753 cm 3. Find density. GIVEN: M = 620 g V = 753 cm 3 D = ? D M V WORK : D = M V D = 620 g 753 cm 3 D = 0.82 g/cm 3

20 D. Density An object has a volume of 825 cm 3 and a density of 13.6 g/cm 3. Find its mass. GIVEN: V = 825 cm 3 D = 13.6 g/cm 3 M = ? WORK : M = DV M = (13.6 g/cm 3 )(825cm 3 ) M = 11,220 g D M V

21 D. Density 1) A liquid has a density of 0.87 g/mL. What volume is occupied by 25 g of the liquid? GIVEN: D = 0.87 g/mL V = ? M = 25 g D M V WORK : V = M D V = 25 g 0.87 g/mL V = 28.7 mL

22 Float v. Sink

23 Water Solid Liquid Gas D = 1 g/mL

24 Temperature K = C + 273 So, on the Kelvin scale, water freezes at 273 K and boils at 373 K. F = (C × 9/5) + 32

25 A. Types of Graphs Line Graph  shows the relationship between 2 variables Dependent Variable Independent Variable

26

27 A. Types of Graphs Bar Graph  shows information collected by counting

28 A. Types of Graphs Pie Graph  shows distribution of parts within a whole quantity

29 B. Graphing & Density Mass (g) Volume (cm 3 ) Slope = ∆Y ∆X


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