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Dimensional Analysis
Dimensional Analysis
Word Problems
Density
Sig Figs and SN
100

How many kilometers (km) are in 1 meter (m)?

0.001 km = 1 m

100

How many eggs are in 4 dozen? 

(include your factors)

Factor: 1 dozen = 12 eggs 

Answer: 48 eggs 

100

If you have 4 3L bottles of soda, how many gallons of soda do you have? (round your answer to 4 SF)

(1L = 0.2642gal)

3.170

100

What is density?

d = m/v

Level of compactness of particles in an object 

100

How many significant figures are in the following number:    38902000

5

200

How many cm are in 1 m?

How many m are in 1 cm?

100 cm = 1 m 

0.01 m = 1 cm 

200

How many kilometers contain 1250m?

(include your factor)

Factor: 1km = 1000m

Answer: 1.25km

200

The distance between the Earth and the Sun is about 1.5*1011 m. How far is this distance in miles? (1 mi= 1.609km)

(include your factors)

Factors: 1 km = 1000 m , 1 mi = 1.609 km 

Answer: 9.3*107

200

What is the natural density of water?

1.00 g/cm3

200

What is our rule for counting significant figures?

Right dot, left if not! 

300

How many milligrams (mg) are in 1 kilogram (kg)?

1,000,000 mg = 1 kg

300

How many mm are in 6.25dm? 

(include your factor)

Factor: 1dm = 100mm

Answer: 625mm

300

A school that has 350 students forms teams for homecoming competitions. There are 8 students on each team. Supplies for the competition are purchased at $20.00 per team. What is the total cost for the competition supplies? 

(include your factors) 

Factors: 8 students = 1 team , $20.00 = 1 team supplies 

Answer: $875


300

If an object has a density of 1.01 g/cm3, what would  be its behavior in water? 

The object would sink.
300

How would you write the following number in scientific notation:    345,000,000

3.45 * 108

400

How many kiloliters (kL) are in one deciliter (dL)?

0.0004 kL = 1 dL
400

What is the volume in kL of 7.5L of water? 

(include your factor)

Factor: 1000 L = 1 kL

Answer: 0.0075kL

400
The classes at Dominican High School are 46 minutes long. A student with perfect attendance spent 180 days in school and attended 7 classes each day. How many seconds did that student spend in school? 

(include your factors) 

Factors: 7 classes = 1 day , 1 class = 46 min , 60 sec = 1 min 

Answer: 3,477,600 sec

400

What is is the density of an object that has a mass of 8.3g and a volume of 2.03cm3? Would the object sink or float?

d= 4.1g/cm3 

Object would sink. 

400

How many significant figures should the product of the following equation have:    983.24/34.51 

4

500

How many centigrams (cg) are in one hectogram (hg)?

10,000 cg = 1 hg

500
What is the mass in Hg of a substance that weighs 902.73g? 

(include your factor) 

Factor: 1 hg = 100 g 

Answer: 9.0273hg

500

A party decorator needs to prepare thirty goodie bags for a birthday party. Each bag must include 2 silly straws, which each have one super hero sticker on them. Packs of super hero stickers come with 10 stickers on 1 pack. How many packs of super hero stickers with the decorator have to purchase? 

(Include your factors) 

Factors: 30 bags = 2 straws , 1 straw = 1 sticker , 10 stickers = 1 pack 

Answer: 6 packs 

500

What is the mass of an object that has a density of 0.12g/cm3 and a volume of 56cm3?

m = 6.7g 

500

How many significant figures should the answer to the following equation have:   9.223+1384.2

TRICK QUESTION! When adding, we look that our answer is rounding to the correct places past the decimal point. Our answer should go one place past.