Dimensional Analysis

Which of these is a basic truth that makes dimensional analysis work?

• Fractions are used to change quantities

• The picket fence tool limits changes in units to one at a time

• multiplying anything by one doesn't change the actual amount

• Units are unnecessary when doing conversions

If 4 dogs equals 3 cats, which of the following (could be more than one) are true?

• 4 dogs / 3 cats = 1

• 3 cats / 4 dogs = 1

• 3 dogs = 4 cats

• 1 dog / 1 cat = 1

When doing a conversion using the picket fence method, what is the first thing you figure out?

• the ratio

• the fraction

• the number of conversion steps

• the given

If my lot is 50 paces deep, how many feet deep is my lot? I measured my paces and found that 1 pace is 3 feet long.

What is the given here?

• 1 pace = 3 feet

• 3 feet = 1 pace

• 50 paces deep

• 3 feet

If my lot is 50 paces deep, how many feet deep is my lot? I measured my paces and found that 1 pace is 3 feet long.

What is the ratio here?

• 1 pace = 3 feet

• 3 feet / 1 pace = 50 paces

• 50 paces deep

• 3 feet

If my lot is 50 paces deep, how many feet deep is my lot? I measured my paces and found that 1 pace is 3 feet long.

• 50 feet

• 150 feet

• 3 feet

• 16.7 feet