Dimensional Analysis

Dimensional Analysis

Basic Dimensional Analysis

• Would you rather run 4 km or 3000 m?

• Convert km to m to compare using the same units

• Step 1: 4 KM / 1

• Step 2: Multiply by 1000 M/ 1 km

• Step 3: Multiply across the top

• Step 4: 4000/1 meters

• Step 5: 4000 meters

Fill in the Blank

Now you try: How many feet are in 9 miles?

Step 1: 9 Miles/1

Step 2: Multiply by ______ feet / 1 Mile

Fill in the Blank

Step 3: Multiply Across the top and then across the bottom

What is the answer including units?

Medium Level Dimensional Analysis

• If you are baking a cake and need 3/4th a cup, how many ounces do you need?

• On the next slide select the proper set up for step 1

Multiple Select

Which of the options below is the proper first step from moving to cups to ounces?

• $$\frac{.75\ cups}{1\ }$$

• $$\frac{\frac{3}{4}\ cups}{4}$$

• .75 cups

• $$\frac{.75\ ounces}{1}$$

Multiple Select

Which of the options below is the proper second step from moving to cups to ounces?

• $$\frac{.75\ cups}{1\ }\ \times\ \frac{16\ ounces}{1\ cup}$$

• $$\frac{\frac{3}{4}\ cups}{4}\ \times\frac{16\ ounces}{1\ cup}$$

• $$\frac{.75\ cups}{1}\ \times\ \frac{1\ cup}{16\ ounces}$$  
  

• $$\frac{.75\ ounces}{1}\ \times\frac{16\ cups}{1\ ounce}$$

Multiple Select

Which of the options below is the proper  third step from moving to cups to ounces?

• Multiply across the top and bottom

• Multiply across the top only

• Multiply across the bottom only 

• Cross multiply

Multiple Select

Which of the options below is the correct answer for the problem below?

• $$12\ Ounces$$

• $$3\ Ounces$$

• $$.047\ \frac{cups^2}{ounces}$$  
  

• $$12\ cups$$

High Level Dimensional Analysis

• A molecule of hydrogen moves at a speed of 115 cm/s. How long will it take to travel the length of a football field (100 yd long)?

• Enter your answer on the next slide and turn in your work via google classroom.

Fill in the Blank

Input your answer below