MJ2A Ch 5.1 – Writing Fractions as Decimals

The quadrilateral below represents a top view of Jay’s patio. What is the number of degrees in  x? 80° + 60° + 110° = 250° 360° − 250° = 110° m  X = 110° 80°60° 110° X / / / Bellwork

Assignment Review  Ch 5 Jumble puzzle

Before we begin…  Please take out your notebook and get ready to work…  Chapter 5.1 discusses how to write fractions as decimals…  It is expected that you already know how to do this…so this should be a quick review…

Fractions as Decimals  To write a fraction as a decimal simply divide the numerator (top number) by the denominator (bottom number).  If the division ends with zero (0) remainder, then the decimal is considered a terminating decimal  If the division continues without stopping, then the decimal is considered a repeating decimal

Example – Terminating Decimal TTo write the fraction 3 as a decimal do the 8 following: In your calculator input 3 Then press the divide (  ) button Then input 8 and press the equals (=) button Your answer should be Since the division stops this is considered a terminating decimal

Example – Repeating Decimal  To write the fraction 2 as a decimal do the 3 following: In your calculator input 2 Then press the divide (  ) button Then input 3 and press the equals (=) button Your answer should be … Since the division does not stop this is considered a repeating decimal Bar notation is used to indicate a repeating decimal In the example above, the bar notation would be 0.6

Your Turn  In the notes section of your notebook write the following and then convert them to decimals:

Mixed Numbers as Decimals  You can also convert mixed numbers into decimals.  There are 2 methods to do this 1. You can simply convert the fraction to a decimal and then add it to the whole number Or 2. You can convert the mixed number to an improper fraction and then convert it to a decimal  Either method works…you get to choose which one works for you Caution: In method #1 students forget to add the decimal to the whole number…be careful!

Example – Method 1 Convert 3 ½ to a decimal Do the following on your calculator: In your calculator input 1 Then press the divide (  ) button Then input 2 and press the equals (=) button Your answer should be 0.5 Add that to the whole number 3 to get the answer of 3.5

Example – Method 2  Convert 3 ½ to a decimal  Do the following: Make 3 ½ an improper fraction of 7 2 In your calculator input 7 Then press the divide (  ) button Then input 2 and press the equals (=) button Your answer should be 3.5

Your Turn  In the notes section of your notebook write the following and then convert them to decimals ¼

Comparing Numbers  Often times you will be asked to compare numbers to determine if one number is, or = to another number.  When given fractions to compare, it is easier to convert the fractions to decimals before comparing them.  You can compare fractions in fraction form…however, you must make sure that before comparing the fractions they have a common denominator…

Summary  In the notes section of your notebook summarize the key concepts covered in today’s lesson  Today we discussed Converting fractions to decimals – how does that work? Terminating & Repeating Decimals – what is the difference? Comparing numbers – what strategy is used to compare numbers?

Assignment  Text p. 203 # 13 – 43  Reminder: This assignment is due tomorrow I do not accept late assignments I do not accept answers only for any assignment…make sure that you write the problem and show your answer