Warm Up Multiply. Write answers in simplest form: 1. 2. 3. 4.

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Presentation transcript:

Warm Up Multiply. Write answers in simplest form: 1. 2. 3. 4.

Answers 1. 2. 3. 4. 1 2 2 1 2 3 1 1 1 2

Can you answer questions like these??? How many seconds are there in 2.5 hours? 70mph is equivalent to how many feet per second?

Dimensional Analysis (Factor-Label Method) MCC9-12.N.Q.1 Why learn it? A method for converting units. Useful for solving complicated problems in physical science and chemistry. What do I need to know? given amount with units desired units conversion factors how to multiply fractions

Steps: Read the question. Write the given number with its units. If it is a rate, write it as a fraction. (ex. Write 70mph as . If it is not a fraction, make it a fraction with a denominator of 1. (ex. Write 2.5hr as . 3. Identify the ending units. 4. Line up conversion factors so units cancel. 5. Use a calculator to multiply & divide. Write answer with remaining units.

Ex. 1 How many seconds are there in 2.5 hours? Write 2.5 hrs as a fraction. Units we want are seconds. We know that 1 hr=60 min and 1 min = 60 sec so these fractions are equal to 1: Which fraction will cancel out hrs? Which fraction will cancel out min.?

70mph is equivalent to how many feet per second? Ex. 2 70mph is equivalent to how many feet per second? Write 70mph as a fraction. What we want to change miles to feet. We know 1mile=5280ft. Which fraction will get rid of miles?

70mph is equivalent to how many feet per second? Ex. 2 70mph is equivalent to how many feet per second? What we want to change hours. We know 1hr=60min. Which fraction will get rid of hours?

70mph is equivalent to how many feet per second? Ex. 2 70mph is equivalent to how many feet per second? What we want to change minutes. We know 1min=60sec. Which fraction will get rid of minutes?

70mph is equivalent to how many feet per second? Ex. 2 70mph is equivalent to how many feet per second? You can enter in you calculator:

Ex. 3 Find the number of inches in 4.5 yards. We know 1yd = 3 ft. Write a conversion factor to change from yd to ft. We know 1ft = 1in. Write a conversion factor to change from ft to in. Cancel units and do the calculations.

Ex. 4 Convert 47 miles to kilometers. (1 km = 0.621 miles) Answer: 75.7km

Ex. 5 Convert 210 rpm to revolutions per second. Answer: 3.5rev/s