Metric Prefixes
Density/Volume Calculations
Metric to Standard Conversions
Scientific Notation
Accuracy and Precision
100

Convert 20 milligrams to grams

What is 0.02 grams?

100

If an object has a mass of 20.2 g and a volume of 4.35 mL, what is its density? (Round sig figs appropriately, include units)

What is 4.64 g/mL? 

100

How many milliliters are in a 12 fluid ounce soda can? 

What is 350 milliliters? 

100

How many sig figs are in 5.20200 x 1024

What is 6 significant figures? 

100

Sort the following as measuring precision or accuracy: 

1. Percent error

2. Percent difference

3. Error range

Precision: Percent difference, error range

Accuracy: Percent error

200

Convert 1920 kiloliters to liters

What is 1920000 liters?

200

If an object has a volume of 5.634 mL and a density of 7.645 g/mL, what is the object's mass? 

What is 43.07 grams? 

200

The distance between the centers of two oxygen atoms in an oxygen molecule is 1.21 x 10-8 cm. What is this distance in inches?

What is 4.76 x 10-9 inches? 

200

What is the product of 6.02 x 1023 and 1.9117 x 10-19? Round to the appropriate number of sig figs and write your answer in scientific notation. 

What is 1.15 x 105

200

A student measured an object's density as being 8.02 g/mL. The accepted value for the density of the object was 8.51 g/mL. What is the student's percent error? 

What is 5.8%?

300

Convert 924 milliliters to decaliters

What is 0.0924 decaliters? 

300

A rectangular prism has sides with lengths 6 cm, 7cm, and 8 cm. What is its volume? 

What is 336 cm3?

300

Is a 197-lb weight lifter light enough to compete in a class limited to those weighing 90 kg or less?

What is yes? (They weigh 89.4 kg)

300

What do you get when you add 7.199 x 10and 8.9614 x 106? Write in scientific notation and use appropriate number of sig figs. 

What is 1.616 x 107

300

A student repeats a density measurement twice and gets values of 6.7 g/mL and 6.9 g/mL. What is the percent difference between the student's two values? 

What is 2.9%? 

400

Convert 12 kilograms to centigrams

What is 1200000 centigrams? 

400

A cylinder has a radius of 8 centimeters and a height of 6 decimeters. What is its volume? 

What is 1 x 104 cm3?

400

Convert the estimated mass of the atmosphere, 5.6 x 1015 tons, to kilograms (1 ton = 2000 lbs) 

What is 5.1 x 1018 kilograms? 

400

How many micrograms (ug) are there in 7526 grams? (1 gram = 1 x 106 micrograms).

What is 7.526 x 109 micrograms? 

400

A student repeats measurements of an object's volume and finds the following data: 

6.7 g/mL, 6.5 g/mL, 6.7 g/mL, 7.0 g/mL, 7.2 g/mL, and 6.6 g/mL. 

What is the student's error range for this experiment? 

What is 6.8 +/- 0.35 g/mL? 

500

How many milligrams are there in a kilogram? 

What is 1000000? 

500

An object has a radius of 12 cm, a height of 70 mm, and a mass of 15.5 grams. What is the object's density? 

What is 5 x 10-3 g/cm3

500

The area of a piece of paper is 93.5 in2. What is the area in cm2?

What is 603 cm2

500

Challenge: There are 6.022 x 1023 atoms in one mole. How many atoms are contained in 8.923 moles of gold? 

What is 5.373 x 1024 atoms of gold? 

500
Measurements of density are taken and these results were found: 

9.1 g/mL, 9.5 g/mL, 10.0 g/mL, 9.4 g/mL, 9.2 g/mL, 9.6 g/mL, and 9.8 g/mL. 

1) What is the percent error between the average of the above results and the true value of 9.7 g/mL? 

2) What is the percent difference between the largest and smallest values recorded?

3) What is the error range of the experimental data? 

1) What is 2.1%? 

2) What is 9.4%? 

3) What is 9.5 +/- 0.5 g/mL?