Dimensional analysis

Estimate: 60 min → seconds

Choose the best estimate:

• A. 1 × 10^3 sec
• B. 1 × 10^-1 sec
• C. 1 × 10^1 sec
• D. 1 × 10^0 sec
• E. 1 × 10^2 sec

Step 2: Set up the conversion factor and calculation
60 min × ( ______ ______ / ______ ______ ) = ______ sec

Step 3: Estimate the mathematical value
Estimate the numerical answer of your completed dimensional-analysis expression before using a calculator:

Step 4: Calculate
What is the exact answer and the correct units?

Estimate: 4.5 km → meters

Choose the best estimate:

• A. 1 × 10^2 m
• B. 1 × 10^1 m
• C. 1 × 10^0 m
• D. 1 × 10^3 m
• E. 1 × 10^-1 m

Step 2: Set up the conversion factor and calculation
4.5 km × ( ______ ______ / ______ ______ ) = ______ m

Step 3: Estimate the mathematical value
Estimate the numerical answer of your completed dimensional-analysis expression before using a calculator:

Step 4: Calculate
What is the exact answer and the correct units?

Estimate: 3.2 L → milliliters

Choose the best estimate:

• A. 1 × 10^3 mL
• B. 1 × 10^4 mL
• C. 1 × 10^0 mL
• D. 1 × 10^2 mL
• E. 1 × 10^-1 mL

Step 2: Set up the conversion factor and calculation
3.2 L × ( ______ ______ / ______ ______ ) = ______ mL

Step 3: Estimate the mathematical value
Estimate the numerical answer of your completed dimensional-analysis expression before using a calculator:

Step 4: Calculate
What is the exact answer and the correct units?

Estimate: 1500 g → kilograms

Choose the best estimate:

• A. 1 × 10^1 kg
• B. 1 × 10^0 kg
• C. 1 × 10^2 kg
• D. 1 × 10^{-1} kg
• E. 1 × 10^{-2} kg

Step 2: Set up the conversion factor and calculation
1500 g × ( ______ ______ / ______ ______ ) = ______ kg

Step 3: Estimate the mathematical value
Estimate the numerical answer of your completed dimensional-analysis expression before using a calculator:

Step 4: Calculate
What is the exact answer and the correct units?

Estimate: 50 miles → gallons (car mileage = 25 miles/gallon) → cost (3 dollars/gallon)

Choose the best estimate:

• A. 1 × 10^0 dollars
• B. 1 × 10^1 dollars
• C. 1 × 10^{2} dollars
• D. 1 × 10^{-2} dollars
• E. 1 × 10^{-1} dollars

Step 2: Set up the conversion factor and calculations
50 miles × ( ______ ______ / ______ ______ ) × ( ______ ______ / ______ ______ ) = ______ dollars

Step 3: Estimate the mathematical value
Estimate the numerical answer of your completed dimensional-analysis expression before using a calculator:

Step 4: Calculate
What is the exact answer and the correct units?

Estimate: 300 cm² → m²

Choose the best estimate:

• A. 1 × 10^{-1} m²
• B. 1 × 10^{-3} m²
• C. 1 × 10^{0} m²
• D. 1 × 10^{2} m²
• E. 1 × 10^{-4} m²

Step 2: Set up the conversion factor and calculation
300 cm² × ( ______ ______ / ______ ______ ) = ______ m²

Step 3: Estimate the mathematical value
Estimate the numerical answer of your completed dimensional-analysis expression before using a calculator:

Step 4: Calculate
What is the exact answer and the correct units?

Estimate: 2500 mg → kilograms → grams

Choose the best estimate:

• A. 1 × 10^{-3} kg
• B. 1 × 10^{0} kg
• C. 1 × 10^{-1} kg
• D. 1 × 10^{-2} kg
• E. 1 × 10^{1} kg

Step 2: Set up the conversion factor and calculations
2500 mg × ( ______ ______ / ______ ______ ) × ( ______ ______ / ______ ______ ) = ______ kg

Step 3: Estimate the mathematical value
Estimate the numerical answer of your completed dimensional-analysis expression before using a calculator:

Step 4: Calculate
What is the exact answer and the correct units?