Metrics, Significant Metrics, Significant Figures, Conversions, Figures, Conversions,

and Densityand Density

Review! Review! YEAH!YEAH!

How Many Significant How Many Significant Figures Do I Have?Figures Do I Have?

3.120503.1205066

4.054.0533

0.00200.002022

• 0.01010101000.0101010100•99

• 300300•11

• 300.300.•33

Question TwoQuestion Two

457 km = ________ 457 km = ________ cmcm

Move decimal 5 to Move decimal 5 to the right: the right: 45,700,00045,700,000

Question ThreeQuestion Three

14.6 yards = ____ ft14.6 yards = ____ ft14.6 yds x 3ft/1yd 14.6 yds x 3ft/1yd = 43.8 ft= 43.8 ft

Question FourQuestion Four

Add, using correct Add, using correct significant figuressignificant figures

3.492 + 0.303 + 3.492 + 0.303 + 30.3030.30

34.1034.10

Question FiveQuestion Five

37,854,120 mL = 37,854,120 mL = ______ L______ L

Move decimal 3 to Move decimal 3 to the left, 37854.12 the left, 37854.12 No zero because of No zero because of sig figssig figs

Question 6Question 6

If the mass of an If the mass of an object is 124.589 object is 124.589 grams and the density grams and the density is 2.45 g/cmis 2.45 g/cm33, what is , what is the volume of the the volume of the object?object?

124.589/2.45 = 50.9 124.589/2.45 = 50.9 cmcm33

Question 7Question 7

30,833 mg = ____ 30,833 mg = ____ kgkgMove decimal six to the Move decimal six to the leftleft

0.030833 kg0.030833 kg

Question EightQuestion Eight

5 5 L = _____ mLL = _____ mLMove decimal 3 to the Move decimal 3 to the leftleft

0.005 mL0.005 mL

Question NineQuestion Nine

The density of an The density of an object is 1.56 g/cmobject is 1.56 g/cm33. . What is the mass of What is the mass of this object when the this object when the volume is 12 L?volume is 12 L?Convert 12L Convert 12L mL mL1.56 x 12,000 = 19,000 g1.56 x 12,000 = 19,000 g

Question TenQuestion Ten

1.25 days = _______ 1.25 days = _______ ss1.25 days x 24 hours x 1.25 days x 24 hours x 60 min x 60 sec = 60 min x 60 sec = 108000 s108000 s

Question ElevenQuestion Eleven

If I am measuring with If I am measuring with a ruler in centimeters, a ruler in centimeters, how many digits past how many digits past the decimal should I the decimal should I record?record?22

Question TwelveQuestion Twelve

How do I find the How do I find the volume of a volume of a rectangular solid?rectangular solid?L x W x HL x W x H

Question ThirteenQuestion Thirteen

I took the mass of a block I took the mass of a block of wood. The mass was of wood. The mass was 198 mg. I then measured 198 mg. I then measured the block and it was 14 cm the block and it was 14 cm wide, 3 cm high, and 17 cm wide, 3 cm high, and 17 cm long. What is the density long. What is the density of the wood?of the wood?Multiply L x W x H to get volumeMultiply L x W x H to get volume0.198/714 = 0.0003 g/cm0.198/714 = 0.0003 g/cm33

Question FourteenQuestion Fourteen

160 km160 km22 = _____ m = _____ m22

Normally you would move Normally you would move three to the right, but since three to the right, but since it’s squared you’d do that it’s squared you’d do that twice… so 6 to the righttwice… so 6 to the right

1.6 x 101.6 x 1088 m m22

Question FifteenQuestion Fifteen

156 cm156 cm33 = _____ m = _____ m33

Normally you would move Normally you would move two to the left, but since it’s two to the left, but since it’s cubed, you do that three cubed, you do that three times, so move six to the times, so move six to the leftleft

1.56 x 101.56 x 10-4-4 m m33

Question SixteenQuestion Sixteen

One of the largest gold One of the largest gold nuggets ever discovered nuggets ever discovered was found in Australia in was found in Australia in 1872. The nugget had a 1872. The nugget had a mass of 286 kg. Given that mass of 286 kg. Given that 19.32 g/cm19.32 g/cm33 is the density of is the density of gold, calculate the volume gold, calculate the volume of this nuggetof this nuggetConvert 286kg Convert 286kg 286000 g 286000 g286000 / 19.32 = 14800 cm286000 / 19.32 = 14800 cm33

Question SeventeenQuestion Seventeen

I am measuring the length of I am measuring the length of a stirring rod and I get: 1.25 a stirring rod and I get: 1.25 cm, 12.8 mm, and 0.129 m. cm, 12.8 mm, and 0.129 m. The actual length of the The actual length of the stirring rod is 19.3 cm. Am I stirring rod is 19.3 cm. Am I accurate? Am I precise?accurate? Am I precise?You are not accurate because you did You are not accurate because you did

not get the correct number. You are not get the correct number. You are also not precise because all also not precise because all measurements are not close to each measurements are not close to each other when converted.other when converted.

Question EighteenQuestion Eighteen

I am measuring the mass I am measuring the mass of sodium chloride for an of sodium chloride for an experiment. I obtain a experiment. I obtain a measurement of 12.236 measurement of 12.236 mL. What is wrong with mL. What is wrong with the way I have reported the way I have reported this value?this value?Mass should be in units of Mass should be in units of grams, not millilitersgrams, not milliliters

Question NineteenQuestion Nineteen

48°C = _____°F48°C = _____°F°F = 9/5°C + 32°F = 9/5°C + 329/5*48+32 = 120°F9/5*48+32 = 120°F

Question TwentyQuestion Twenty

115°F = ______ K115°F = ______ K°C = 5/9(°F -32)°C = 5/9(°F -32)5/9(115-32) = 46.1°C5/9(115-32) = 46.1°CK = °C + 273K = °C + 27346.1 + 273 = 319 K46.1 + 273 = 319 K

Question Twenty - OneQuestion Twenty - One

Express Express 125,000,000,000 in 125,000,000,000 in scientific notationscientific notation1.25 x 101.25 x 101111

Question Twenty TwoQuestion Twenty Two

Express 0.0000008 Express 0.0000008 in scientific in scientific notationnotation8 x 108 x 10-7-7

Question Twenty ThreeQuestion Twenty Three

What is 4.869 x 10What is 4.869 x 1055 in decimal notation?in decimal notation?486,900486,900

Question Twenty FourQuestion Twenty Four

What is 5.21 x 10What is 5.21 x 10-4-4 in decimal notation?in decimal notation?0.0005210.000521

Question Twenty SixQuestion Twenty Six

298 K = ____°F298 K = ____°F298K-273 = 25°C298K-273 = 25°C9/5(25)+32 = 77.0°F9/5(25)+32 = 77.0°F

Question Twenty sevenQuestion Twenty seven

How many How many significant figures significant figures do I have? do I have? 12,000,00012,000,00022

Question Twenty EightQuestion Twenty Eight

How many How many significant figures significant figures do I have?do I have?

10.010.033

Question Twenty NineQuestion Twenty Nine

A sample has a A sample has a volume of 12.5 L and volume of 12.5 L and a mass of 25.8 kg. a mass of 25.8 kg. What is its density What is its density in g/L?in g/L?25,800/12.5 = 2060 g/L25,800/12.5 = 2060 g/L

Question Twenty NineQuestion Twenty Nine

A student finds the A student finds the density of carbon density of carbon monoxide to be 1.62 monoxide to be 1.62 g/cmg/cm33. The accepted value . The accepted value is 1.12 g/cmis 1.12 g/cm33. What is the . What is the percent error?percent error?|1.12-1.62| / 1.12 x 100 = 44.6%|1.12-1.62| / 1.12 x 100 = 44.6%

Question ThirtyQuestion Thirty

One inch = 2.54 cmOne inch = 2.54 cm

15.869 cm15.869 cm33 = ____ in = ____ in33

15.869 cm x 1/2.54 x 1/2.54 15.869 cm x 1/2.54 x 1/2.54 x 1/2.54 = 0.96839 inx 1/2.54 = 0.96839 in33

Question Thirty OneQuestion Thirty One

If I am driving in a car at If I am driving in a car at 65 miles/hour, what is 65 miles/hour, what is my speed in my speed in meters/secondmeters/second

1 mile = 1.6 km1 mile = 1.6 km65 miles x 1.6 km/mile x 1000 65 miles x 1.6 km/mile x 1000 m/km x 1hr/60min x 1min/60 m/km x 1hr/60min x 1min/60 sec = 29 m/ssec = 29 m/s

Question Thirty TwoQuestion Thirty Two

I am measuring the mass of I am measuring the mass of calcium chloride for an calcium chloride for an experiment. I measure the experiment. I measure the mass three times, obtaining mass three times, obtaining values of 125.46 g, 0.12455 values of 125.46 g, 0.12455 kg, 124,999 mg. The actual kg, 124,999 mg. The actual mass is 1.25 x 10mass is 1.25 x 1088 g. Am I g. Am I accurate? Am I precise?accurate? Am I precise?You are both accurate and preciseYou are both accurate and precise

Question Thirty ThreeQuestion Thirty Three

I measure the volume of I measure the volume of a liquid to be 124.56 mL. a liquid to be 124.56 mL. The actual volume is The actual volume is 12.8 cL. What is my 12.8 cL. What is my percent error?percent error?Convert to the same unit first!Convert to the same unit first!|12.8 – 12.456| / 12.8 x 100 = |12.8 – 12.456| / 12.8 x 100 = 2.69%2.69%

Question Thirty FourQuestion Thirty Four

Convert 6.5 x 10Convert 6.5 x 107 7

nm to cm.nm to cm.Nano to centi is seven to Nano to centi is seven to the leftthe left

6.5 cm6.5 cm

Question Thirty FiveQuestion Thirty Five

87 mm87 mm22 = ____ dm = ____ dm22

mm to dm is usually two mm to dm is usually two steps to the left. Since steps to the left. Since it’s squared, you’ll move it’s squared, you’ll move four spots to the left.four spots to the left.

0.00870.0087

Question Thirty SixQuestion Thirty Six

Add, using proper sig Add, using proper sig figsfigs

5.0385 + 8.9 + 5.0385 + 8.9 + 14.203 = 14.203 = 28.128.1

Question Thirty SevenQuestion Thirty Seven

The density of an The density of an object is 5.46 g/cmobject is 5.46 g/cm33. . Calculate the volume, in Calculate the volume, in liters, of an object that liters, of an object that has a mass of 540 mg.has a mass of 540 mg.9.9 x 109.9 x 10-5-5 L L

Question Thirty EightQuestion Thirty Eight

The mass of an object The mass of an object is 65 dg. The density of is 65 dg. The density of the object is 4.392 g/L. the object is 4.392 g/L. What is the volume of What is the volume of the object in mL?the object in mL?1500 mL1500 mL

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