140 likes | 223 Views
Unit Converting. The factor labeling method. How to Convert Units. Lets start with a question and then go through the steps. How many seconds are there in a year?. Step 1:. Write the value you want to convert along with the units. 1 year. 1 year. ( ). Step 2.
E N D
Unit Converting The factor labeling method
How to Convert Units Lets start with a question and then go through the steps. How many seconds are there in a year?
Step 1: Write the value you want to convert along with the units. 1year
1 year ( ) Step 2 Draw a set of parentheses with a fraction bar inside next to the value you have just written. We will use this every time we try to convert.
() 1 year Step 3 Choose and write a conversion equality. What can we convert years into? 1 year = 365 days
X m Y s Step 4 Next is to place our units (AND JUST UNITS) into the fraction. Before we do that, we need to recognize the 2 different parts of a fraction, and we need to recognize that the units for a value are also included in these 2 different parts. Also applies to units: Numerator (Top) Denominator (Bottom)
70 meters = 70 meters 1 Step 4 Continued For a number like: 70 meters What part of a fraction are the units for this number in (numerator or denominator)? So, meters are in the numerator.
( ) 1 year Step 4 Continued Next is to place our units (AND JUST UNITS) into the fraction. 1 year = 365 days year In order to cancel out Years, do we put years in the denominator or the numerator of the fraction? It should go in the denominator!
( ) 1 year Step 5 The units you are converting into should be placed on the other side of the fraction. 1 year = 365 days days year
( ) 1 year Step 6 WARNING!!!! No thinking required! We need to place our numbers into the fraction. To do this put the number that comes before the unit in the conversion equality before that unit again in your fraction. 1 year = 365 days 365 days 1 year
( ) 1 year Step 7 • Now just solve! • Multiply all the numerators together • Multiply all the denominators together • Cross out any units that are both on the top and the bottom • Write your answer with your new units 365 days = 365 days 1 year
( ) 1 year 1 day = 24 hours ( ) 24 hours 365 days = 8760 hours 1 days Going Forward Repeat the steps until you are converted into the units you want. 365 days = 365 days 1 year . . . 31,536,000 seconds
( ) Slightly Harder Convert 15 km/hour into m/sec 1 hour = 60 min km 1 hour 15 hour … 60 min Do one unit at a time. Lets say you would like to do hours into seconds first, just keep in mind that hours is in the denominator now, so where do you need to put hours in your fraction? The Numerator!
Conversion Steps 1. Write the value you want to convert along with the units. 2. Draw a set of parentheses with a fraction bar inside next to the value you have just written. 3. Choose and write a conversion equality. 4. Place our units (AND JUST UNITS) into the fraction. 5. The units you are converting into should be placed on the other side of the fraction. 6. Place our numbers into the fraction. 7. Solve.