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Common Conversions Being able to use fractions, decimals and percents interchangeably.

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Presentation on theme: "Common Conversions Being able to use fractions, decimals and percents interchangeably."— Presentation transcript:

1 Common Conversions Being able to use fractions, decimals and percents interchangeably

2 Rational numbers (decimals, fractions, and percents) What am I Learning Today? How will I show that I learned it? To understand and use rational numbers to convert between fractions, decimals, and percents.

3 What exactly is a percent? You can remember that percent means per hundred. For example, 8% means 8 per hundred, or 8 out of 100. Most states charge sales tax on items you purchase. Sales tax is a percent of the items price. A percent is a ratio of a number to 100.

4 FractionsPercentsDecimals %.40

5 FractionsPercentsDecimals %.40

6 99 % =.99 Propose a rule to convert from a percent to a decimal: 27 % =.27 Test your rule:

7 Questions Answers - Move the decimal point two places to the left. - Drop the percent sign. *This is the same as dividing by 100. How do I change from a percent to a decimal?

8 19 % = Change the percent to a decimal. Change the percent to a decimal % = % =.17

9 FractionsPercentsDecimals %.40

10 FractionsPercentsDecimals %.40

11 .35 = 35 %.75 = 75 % Propose a rule to convert from a decimal to a percent: Test your rule:

12 Questions Answers - Replace the % with a decimal - Move the decimal point two places to the right - Attach a percent sign *This is the same as multiplying by 100. How do I change from a decimal to a percent?

13 .5 = Change the decimal to a percent. Change the decimal to a percent. 50%.02 = 2 % 1.3 = 130 %

14 FractionsPercentsDecimals %.40

15 FractionsPercentsDecimals %.40

16 .75 = = = = 1 4 Propose a rule to convert from a decimal to a fraction: Test your rule:

17 Questions Answers - Write it as you would read it - The number itself is the numerator - The denominator is the place value - SIMPLIFY How do I change from a decimal to a fraction?

18 .43 = Change the decimal to a fraction: Change the decimal to a fraction: = 1 100

19 FractionsPercentsDecimals %.40

20 FractionsPercentsDecimals %.40

21 4 ) 3 = 3 4 Propose a rule to convert from a fraction to a decimal:

22 Questions Answers - Divide the denominator into the numerator. - Try to divide out to the thousandths place to see if its a terminating or repeating decimal How do I change from a fraction to a decimal?

23 Change the fraction to a decimal: Change the fraction to a decimal: = = 0.875

24 FractionsPercentsDecimals %.40

25 2 5 40%.40 FractionsPercentsDecimals

26 75 % = = 3 4 Propose a rule to convert from a percent to a fraction:

27 Questions Answers - Put the number over 100 and reduce - Drop the percent sign. *Remember, percent means per hundred How do I change from a percent to a fraction?

28 32 % = Change the percent to a fraction: Change the percent to a fraction: = % = = = 25

29 FractionsPercentsDecimals %.40

30 2 5 40%.40 FractionsPercentsDecimals

31 Questions Answers - Convert fraction to a decimal number by dividing the numerator by the denominator - Move the decimal point two places to the right. - Attach a percent sign. How do I change from a fraction to a percent?

32 Change the fraction to a percent: 3 15 = 15 ) 3 = 0.2 = 20% 5 8 = 8 ) 5 = = 62.5%

33 Convert to a fraction: Convert to a percent: Convert to a decimal: % % %0.2 = 20%

34 Summarize your Conversions In the flipbook provided, provide a summary of how to convert between rational numbers. Include an example for each. JUST FOLLOW ME ….

35 Decimal to Percent Flip Book Move your decimal 2 places to the right and add a % sign EX: 0.67 =

36 Percent to Decimal Flip Book Drop the %, move the decimal 2 places to the left. EX: 65% =

37 Percents to Fractions Flip Book Write the number over 100 & simplify EX: 96% =

38 Fractions to Percents Flip Book Change the fraction to a decimal, then to a percent by moving the decimal 2 places to the right EX: 1/2 =

39 Decimals to Fractions Flip Book Write the number as the numerator over its place value & simplify EX: 0.45 =

40 Fractions to Decimals Flip Book Divide the denominator into the numerator EX: 2/5 =


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