Dimensional Analysis and Conversion Factors

What is the main objective of dimensional analysis?

• To simplify complex calculations by using conversion factors.

• To convert all units to the metric system.

• To increase the number of significant figures in a calculation.

• To avoid using any mathematical operations.

What is the first step in converting miles to centimeters using dimensional analysis?

• Convert miles to meters.

• Convert miles to feet.

• Convert miles to kilometers.

• Convert miles to inches.

Why is it better to use dimensional analysis instead of writing down numbers at each step?

• It allows for more precise calculations.

• All of the above.

• It makes the process faster.

• It reduces the chance of making errors.

What should you do with your rounding when performing dimensional analysis?

• Round at the beginning.

• Round at each step.

• Round only at the end.

• Do not round at all.

When solving for milliliters in a grams per milliliter problem, where should you place the milliliters?

• In the middle.

• On the bottom.

• On the top.

• It doesn't matter.

What is the first conversion factor used in the ball bearings production example?

• Pounds to grams.

• Weeks to days.

• Grams to ball bearings.

• Days to hours.

How many significant figures should the final answer have in the ball bearings production example?

• 5

• 4

• 3

• 2

In the snail marathon example, why do we flip the miles per hour ratio?

• To avoid using hours.

• To convert miles to kilometers.

• To ensure time is on top.

• To make the calculation easier.

What is the total distance a snail needs to cover in the marathon example?

• 26.2 miles

• 24 miles

• 20 miles

• 30 miles

How many days will it take for the snail to complete the marathon?

• 28 days

• 38 days

• 40 days

• 30 days