Exploring Dimensional Analysis and Scientific Notation

What is the main purpose of dimensional analysis?

• To measure the weight of objects

• To simplify complex equations

• To convert numbers into different units without changing their value

• To change the value of numbers

Which of the following is a correct conversion factor for hours in a day?

• 1 day = 12 hours

• 24 hours = 1 day

• 60 minutes = 1 hour

• 1 hour = 60 minutes

How can 12 inches be written as a fraction in terms of feet?

• None of the above

• Both A and B

• 1 foot / 12 inches

• 12 inches / 1 foot

What is the first step in applying dimensional analysis to a problem?

• Draw a picket fence

• Write down the given number with its unit

• Divide the top and bottom

• Multiply the top line across

In the example of converting minutes in a year, how many conversion factors are needed?

• Four

• Three

• Two

• One

What is the purpose of scientific notation?

• To measure time

• To rewrite very large or very small numbers into a more manageable form

• To convert units

• To calculate distances

How is the number 50,500 written in scientific notation?

• 50.5 x 10^3

• 5.5 x 10^4

• 5.05 x 10^4

• 5.05 x 10^3

What does the exponent in scientific notation represent?

• The value of the number

• The unit of measurement

• The number of places the decimal was moved

• The number of significant figures

Convert 0.0098 into scientific notation.

• 9.8 x 10^2

• 9.8 x 10^-2

• 9.8 x 10^-3

• 9.8 x 10^3

Convert 3.1 x 10^-4 into standard notation.

• 0.00031

• 0.00031

• 0.0031

• 0.000031