Dimensional Analysis Method

ESSAY

1. Directions: Analyze the problem for the desired answer. Set up a dimensional analysis–style equation in the space provided using the available data. Ensure that all undesired units will be canceled before doing the math. Do not use shortcuts to solve the equations even if the answer is known. For credit, show all work. Label answers. Evaluate each equation for correct setup and desired answer units.

How many miles are in 100 kilometers?

Conversion formula: 1 km = 0.6 miles

DA equation:

Evaluation:

ANS:

2. Directions: Analyze the problem for the desired answer. Set up a dimensional analysis–style equation in the space provided using the available data. Ensure that all undesired units will be canceled before doing the math. Do not use shortcuts to solve the equations even if the answer is known. For credit, show all work. Label answers. Evaluate each equation for correct setup and desired answer units.

How many donuts are in 15 dozen?

Conversion formula: 1 dozen = 12 donuts

DA equation:

Evaluation:

ANS:

3. Directions: Analyze the problem for the desired answer. Set up a dimensional analysis–style equation in the space provided using the available data. Ensure that all undesired units will be canceled before doing the math. Do not use shortcuts to solve the equations even if the answer is known. For credit, show all work. Label answers. Evaluate each equation for correct setup and desired answer units.

How many pounds are in 22 kg?

Conversion formula: 1 kg = 2.2 lb

DA equation:

Evaluation:

ANS:

4. Directions: Analyze the problem for the desired answer. Set up a dimensional analysis–style equation in the space provided using the available data. Ensure that all undesired units will be canceled before doing the math. Do not use shortcuts to solve the equations even if the answer is known. For credit, show all work. Label answers. Evaluate each equation for correct setup and desired answer units.

How many milligrams are in 5.5 grams?

Conversion formula: 1000 mg = 1 g

DA equation:

Evaluation:

ANS:

5. Directions: Analyze the problem for the desired answer. Set up a dimensional analysis–style equation in the space provided using the available data. Ensure that all undesired units will be canceled before doing the math. Do not use shortcuts to solve the equations even if the answer is known. For credit, show all work. Label answers. Evaluate each equation for correct setup and desired answer units.

A baby weighs 2500 g. How many kilograms does the baby weigh?

Conversion formula: 1 kg = 1000 g

DA equation:

Evaluation:

ANS:

6. Directions: Analyze the problem for the desired answer. Set up a dimensional analysis–style equation in the space provided using the available data. Ensure that all undesired units will be canceled before doing the math. Do not use shortcuts to solve the equations even if the answer is known. For credit, show all work. Label answers. Evaluate each equation for correct setup and desired answer units.

How many hours are in 780 minutes?

Conversion formula: 1 hour = 60 minutes

DA equation:

Evaluation:

ANS:

7. Directions: Analyze the problem for the desired answer. Set up a dimensional analysis–style equation in the space provided using the available data. Ensure that all undesired units will be canceled before doing the math. Do not use shortcuts to solve the equations even if the answer is known. For credit, show all work. Label answers. Evaluate each equation for correct setup and desired answer units.

How many seconds are in 5 hours?

Conversion formulas: 60 seconds = 1 minute; 60 minutes = 1 hour

DA equation:

Evaluation:

ANS:

8. Directions: Analyze the problem for the desired answer. Set up a dimensional analysis–style equation in the space provided using the available data. Ensure that all undesired units will be canceled before doing the math. Do not use shortcuts to solve the equations even if the answer is known. For credit, show all work. Label answers. Evaluate each equation for correct setup and desired answer units.

A patient has a scar that is 7 inches long. What is the equivalent number of millimeters to the nearest whole number?

Conversion formulas: 1 inch = 2.54 cm; 1 cm = 10 mm

DA equation:

Evaluation:

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9. Directions: Analyze the problem for the desired answer. Set up a dimensional analysis–style equation in the space provided using the available data. Ensure that all undesired units will be canceled before doing the math. Do not use shortcuts to solve the equations even if the answer is known. For credit, show all work. Label answers. Evaluate each equation for correct setup and desired answer units.

An area rug 92 inches long is needed for the waiting room. How many yards in length will be needed to the nearest tenth of a yard?

Conversion formulas: 12 inches = 1 foot; 3 feet = 1 yard

DA equation:

Evaluation:

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10. Directions: Analyze the problem for the desired answer. Set up a dimensional analysis–style equation in the space provided using the available data. Ensure that all undesired units will be canceled before doing the math. Do not use shortcuts to solve the equations even if the answer is known. For credit, show all work. Label answers. Evaluate each equation for correct setup and desired answer units.

A hospital hires one registered nurse for every three nurse assistants. How many nurse assistants will be needed for 85 registered nurses?

DA equation:

Evaluation:

ANS: