Exploring Dimensional Analysis in Algebra I

What is the first step in dimensional analysis?

• Simplify the problem

• Multiply the fractions

• Write the given measurement as a fraction

• Find the conversion factor

In the first example, what is the conversion factor between kilograms and pounds?

• 1 kilogram = 2.2 pounds

• 1 kilogram = 2.0 pounds

• 1 kilogram = 2.4 pounds

• 1 kilogram = 2.5 pounds

Why do we place kilograms in the denominator when converting to pounds?

• To simplify the fraction

• To avoid using a calculator

• To ensure the units cancel out

• To make the calculation easier

What is the final answer when converting 12 kilograms to pounds using dimensional analysis?

• 26.4 pounds

• 24.4 pounds

• 25.4 pounds

• 27.4 pounds

In the ratio table method, what is the first ratio used for converting kilograms to pounds?

• 1 kilogram = 2.6 pounds

• 1 kilogram = 2.2 pounds

• 1 kilogram = 2.0 pounds

• 1 kilogram = 2.4 pounds

What is the final answer when converting 12 kilograms to pounds using the ratio table method?

• 26.4 pounds

• 27.4 pounds

• 25.4 pounds

• 24.4 pounds

What is the conversion factor between yards and miles used in the second example?

• 1 mile = 1950 yards

• 1 mile = 1850 yards

• 1 mile = 1760 yards

• 1 mile = 1650 yards

What is the final answer when converting 3650 yards to miles using dimensional analysis?

• 2.3 miles

• 2.1 miles

• 2.0 miles

• 2.2 miles

What is a common mistake to avoid when setting up the conversion factor in dimensional analysis?

• Skipping the multiplication step

• Not using a calculator

• Placing the units in the wrong position

• Using the wrong units

What should you always check for when performing dimensional analysis?

• The conversion factor is a whole number

• The units cancel out correctly

• The fractions are simplified

• The numbers are even