Percent Representations C1 What is a PERCENT? Name: Class: Date: PERCENT means “per ______________” or “for every ____________.” %.
Representing PERCENTS on a hundreds grid: The ____________ for PERCENT is A ___________ is a RATIO of a number to 100. !"
50% means !"" It can be represented on a hundreds grid like this: 50
50 % = = 100
How would you represent these percents on a hundreds grid? 1.) 27% Percent Representations C1 Name: Class: Date: 2.) 83% Converting from PERCENTS to DECIMALS: Since PERCENTS mean “per _________________,” they can be written as fractions with 100 in the __________________. !"
20% = !"" We already know how to turn fractions into decimals by using _________________. 20
20 % = = 20 ÷ 100 = 0.20 100
20% = 0.20 By dividing by 100, you essentially move the ____________ to the left ______________ places. MEMORY TRICK: To remember which way to move the decimal, visualize the _____________________ . A B C D E F G H I J K L M N O P Q R S T U V W X Y Z To convert from PERCENT to DECIMAL, move left from P to D in the alphabet. SO, move the decimal in the same direction. Percent Representations C1 Practice: Converting from DECIMALS to PERCENTS: Practice: Converting Percentages à Fractions Name: Class: Date: Convert each percent to a decimal: D ß P 3.) 64% = 4.) 25% = 5.) 70% = To ________________ from DECIMAL to PERCENT, move right from D to P in the alphabet, SO move the decimal in the same direction. A B C D E F G H I J K L M N O P Q R S T U V W X Y Z !"
0.75 = = 75% !""
So, to go from 0.75 to 75%, the _____________ moved ______ places to the right. Convert each decimal to a percent D à P 6.) 0.78 = 7.) 0.99 = 8.) 0.51 = STEP 1: Write the percentage as a FRACTION. Ø The denominator will be 100. STEP 2: Simplify. 1.) 5% Percent Representations C1 2.) 25% 3.) 72% Converting Fractions à Percentages METHOD 1 4.) 110% STEP 1: Set up a PROPORTION. Ø Let x = the unknown percentage. Ø The second fraction should have a denominator of 100. STEP 2: Solve the proportion. 5.)
!
!
6.)
7.)
!
!"
!!
!"
Converting Fractions à Percentages METHOD 2 STEP 1: Convert a fraction to a DECIMAL. STEP 2: Move the decimal two places to the RIGHT. !
8.) !"
!
9.) !"
!
10.)
!"
Name: Class: Date: Percent Representations C1 Name: Class: Date: Name: ___________________________ Percent Representations What is a PERCENT means “per HUNDRED or “for every HUNDRED PERCENT? %.
Representing PERCENTS on a hundreds grid: The SYMBOL for PERCENT is A PERCENT is a RATIO of a number to 100. !"
50% means !""
It can be represented on a hundreds grid like this: 50
50 % = = 100
How would you represent these percents on a hundreds grid? 1.) 27% Percent Representations C1 Name: Class: Date: 2.) 83% Converting from PERCENTS to DECIMALS: Since PERCENTS mean “per HUNDRED they can be written as fractions with 100 in the DENOMINATOR !"
20% = !"" We already know how to turn fractions into decimals by using DIVISION 20
20 % = = 20 ÷ 100 = 0.20 100
20% = 0.20 By dividing by 100, you essentially move the DECIMAL to the left TWO places. MEMORY TRICK: To remember which way to move the decimal, visualize the ALPHABET . A B C D E F G H I J K L M N O P Q R S T U V W X Y Z To convert from PERCENT to DECIMAL, move left from P to D in the alphabet. SO, move the decimal in the same direction. Percent Representations C1 Practice: Converting from DECIMALS to PERCENTS: Practice: Name: Class: Date: Convert each percent to a decimal: D ß P 3.) 64% = 4.) 25% = 5.) 70% = To CONVERT from DECIMAL to PERCENT, move right from D to P in the alphabet, SO move the decimal in the same direction. A B C D E F G H I J K L M N O P Q R S T U V W X Y Z !"
0.75 = = 75% !""
So, to go from 0.75 to 75%, the DECIMAL moved TWO places to the right. Convert each decimal to a percent D à P 6.) 0.78 = 7.) 0.99 = 8.) 0.51 =