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FRACTIONS, DECIMALS & PERCENTS OH MY!. The table shows the heights of the ten tallest buildings in Dallas. Dallas’ Tallest Buildings BuildingHeight (ft)

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Presentation on theme: "FRACTIONS, DECIMALS & PERCENTS OH MY!. The table shows the heights of the ten tallest buildings in Dallas. Dallas’ Tallest Buildings BuildingHeight (ft)"— Presentation transcript:

1 FRACTIONS, DECIMALS & PERCENTS OH MY!

2 The table shows the heights of the ten tallest buildings in Dallas. Dallas’ Tallest Buildings BuildingHeight (ft) Bank of America Plaza921 Renaissance Tower886 Bank One Center787 JP Morgan Chase Tower738 Fountain Place721 Trammell Crow Center Pacific Avenue655 Thanksgiving Tower645 Energy Plaza629 Elm Place625 1.What fraction of the buildings are between 600 and 900 feet tall? 2.Write this fraction using words. 3.Write this fraction as a decimal out of 10, which is 9/10 2. Nine-tenths

3 To change a fraction into a decimal, you divide the NUMERATOR by the DENOMINATOR. For example, to change into a decimal, you would divide the 3 by the This is called a TERMINATING DECIMAL. (it comes to an end, as in terminate a game!)

4 To change a fraction into a decimal, you divide the NUMERATOR by the DENOMINATOR. Write each fraction or mixed number as a decimal This is called a TERMINATING DECIMAL. (it comes to an end, as in terminate a game!) Example 1:

5 To change a fraction into a decimal, you divide the NUMERATOR by the DENOMINATOR. Write each fraction or mixed number as a decimal. Memorizing some conversions like these will make things a lot EASIER! Example 2: We already know that ¾ = 0.75 ¼ = 0.25 ½ = 0.50 ¾ = 0.75 (one quarter) (half of a dollar) (three quarters)

6 To change a fraction into a decimal, you divide the NUMERATOR by the DENOMINATOR. Write each fraction or mixed number as a decimal. Example 3:

7 To change a fraction into a decimal, you divide the NUMERATOR by the DENOMINATOR. Write each fraction or mixed number as a decimal. Example 4: …… This is called a REPEATING DECIMAL. (a pattern in the digits repeats forever!)

8 You can use BAR NOTATION to indicate that a number repeats forever. A bar is written over the digit(s) that repeat. Example 5: Write 7/9 as a decimal …

9 To change a decimal into a fraction, you place the decimal number over the correct pace value position as a fraction ( #/10#/100#/1000) For example, to change 0.25 into a fraction, you would place 25 over a denominator of 100 since it is read “twenty-five hundredths”. 25/100 = 1/4

10 Copy and complete this chart DecimalFraction 1) 0.7 2) ) ) ) ) 0.07

11 Classwork Title: Glencoe Pg. 247 # Advanced: Glencoe Pg. 247 # 27-36, 38-42

12 How to change percentages into fractions and decimals A percentage is a special fraction. The % says, “ per hundred.” For example, 47%, is simply another way of writing the fraction 47/100

13 Fractions to Percents A ratio is a comparison of 2 quantities by division. Fractions are ratios! can be written as 34:100 in ratio form. When a ratio compares a number to 100, it can be written as a percent.

14 Fractions to Percents Ex 1: Annie answered 90 out of 100 questions correctly. Since the fraction already has a denominator of 100, you automatically have the percentage!

15 Fractions to Percents Ex 2: On average, 50.5 out of 100 students own a pet. Since the fraction already has a denominator of 100, you automatically have the percentage!

16 Fractions to Percents Find an equivalent fraction that has a denominator of 100 x5 Ex 3: Write as a percent.

17 Try These x5 x20 x4

18 You can almost see the 100 in the percentage sign The 1 The zeros PercentageFraction 7%7/100 19%19/100 83%83/100 Etc.

19 24% = 24/100 12/50 6/25 So to write a percentage as a fraction, you simply put it over 100 like this: Yes, but remember to write the fraction in its simplest form 24% = 24/100

20 Copy and complete this chart PercentageFractionPercentageFraction 1. 23%23/ % 2. 24%8. 84% 3. 55%9. 12% 4. 20%1/ % 5. 17%11. 71% 6. 78%12. 36%

21 Classwork Glencoe Pg. 252 # 13-29, Advanced: Glencoe Pg. 252 # even, , 42, 43

22 So, to change a percentage into a decimal, you always divide by 100 For example, 35% as a fraction is 35/100 so to change this into a decimal, you divide 35 by % 0.35 ÷ 100

23 To change decimal into a percentage DecimalPercentage To change a decimal into a percentage, you X by % X 100

24 You Should Know A a percentage is a special fraction. 23% = 23/100 Percentage to a decimal ÷ 100 Decimal to a percentage X 100

25 Copy and complete this chart PercentageDecimal Percentage 1. 27% % % % % %


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