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Scientific Notation

100

Convert the following number to Standard Notation:

2.51 x 10^-5

0.000 025 1

200

Convert the following number to Scientific Notation:

56 800 000

5.68 x 10^7

300

Convert the following number to Standard Notation:

1.37 x 10 ^-9

0.000 000 001 37

400

Convert the following number to Scientific Notation:

602 200 000 000 000 000 000 000

6.022 x 10^23

500

Convert the following number to Scientific Notation:

144.1596

1.441596 x 10^2

Accuracy vs. Precision

100

When measuring the size of a piece of paper, the length of the paper was determined to be 11.25 in.  The actual length of the paper is 11.5 in.  

What is the error for their measurement?

Error= Exp. - Act. 

Error= 11.25 in - 11.5 in 

Error= -0.25 in

200

When measuring the size of a piece of paper, the length of the paper was determined to be 11.25 in.  The actual length of the paper is 11.5 in.  

What is the percent error for their measurement?

% Error= (|Error|/Act.) x 100%

% Error= (|-.25 in|/11.5 in) x 100%

% Error= 2.17 %

300

 When measuring the density of an object, you found that the density of the object to be 198.7 g/mL.  The actual density of the object is 189.5 g/mL.

What is the error for their measurement?

Error= Exp. - Act. 

Error= 198.7 g/mL - 189.5 g/mL

Error= 9.2 g/mL

400

When measuring the density of an object, you found that the density of the object to be 198.7 g/mL.  The actual density of the object is 189.5 g/mL.

What is the percent error for their measurement?

% Error= (|Error|/Act.) x 100%

% Error= (|9.2 g/mL|/189.5 g/mL) x 100%

% Error= 4.85 %

500

How can you tell if a measurement is accurate and precise? 

- Calculating the percent error

- If the % error is less than 5% 

Unit Conversions

100

812 cm = _______ m

8.12 M 

200

25.0 g = ___________ kg

0.025 kg

300

628 cm = _____ hm 

0.0628 hm 

400

0.035 mg = ______ cg

0.0035 cg

500

Convert 50 degrees celcius to Kelvin.

323 K

Dimensional Analysis

100

How many seconds are in one day? 

1 day = 24 hrs

1 hr = 60 min

1 min = 60 sec

86,400 seconds

200

How many times could you play an arcade game with $200?  Each arcade game costs 3 quarters to play one time.

1 dollar = 4 quarters

3 quarters = 1 game play

266 times (cannot play .66666667 times- round down)

300

How many pounds of beef are in 306.89 oz. of beef? 

1000 g = 1 kg

1 kg = 2.2 lb

453.6 g = 1 lb

1 oz = 28.349 g 

19.12 lbs

400

My drive to work is 0.64 miles to work each morning, and the same distance home.  My gas tank holds 24.3 gallons of gas, and my car averages 16.2 miles per gallon.  If I only drove my car to and from work, how many days would it take for me to run out of gas in my car? 

0.64 miles = 0.5 trips

16.2 mi = 1 gal

2 trips =1 day

153.77 days

500

If ocean water has 15 g of salt for every liter of water, how many grams of salt are in 20 gallons of ocean water?

15 g salt = 1 liter water

3.78 L = 1 gal

1 L = .26 gal

234 g Salt

Density

100

The correct equations that solve for mass, volume, and density.

m = ? 

V = ?

d = ? 

m = d x V

V = m/d

d = m/V

200

Calculate the density of a material that has a mass of 52.457 g and a volume of 13.5 mL.

d = m/V

d= 52.457 g /13.5 mL

d = 3.88 g/mL

300

Sodium has a density of 1.95 g/cm^3.  The volume of some sodium is 9.0 cm^3.  What is the mass of the sodium in mg?  

m = d x V= 1.95 g/cm^3 x 9.0 cm^3

m= 17.55 g = 17 550 mg

400

The density of copper is 4.44 g/mL.  If the mass of a piece of copper is 26.326 g, what is the volume? 

V = m/d = 26.326 g / 4.44 g/cm^3

V= 5.93 cm^3

500

The volume of a block of wood is 63 mL.  The mass is 11.392 g.  What is the density of the block? 

d = m/V= 11.392 g / 63 mL

d = 0.18 g/mL