5 Minute Check Find the following. 1. What is.15 written as a percent? 2. What is written as a percent? 3. What is 7 written as a percent? 4. What is 575% written as a mixed number? 5. What is 22.5% written as a fraction in simplest form? 6. What is 6 written as a decimal?

5 Minute Check Find the following. 1. What is.15 written as a percent?

5 Minute Check Find the following. 1. What is.15 written as a percent?.15 x 100 = 15%, or = 15%

5 Minute Check Find the following. 2. What is written as a percent?

5 Minute Check Find the following. 2. What is written as a percent?.399 x 100 = 39.9%

5 Minute Check Find the following. 3. What is 7 written as a percent?

5 Minute Check Find the following. 3. What is 7 written as a percent? = 5 = 10 = 7.2 x 100 = 720% = 7 10 = 7.2 x 100 = 720%

5 Minute Check Find the following. 4. What is 575% written as a mixed number?

5 Minute Check Find the following. 4. What is 575% written as a mixed number? % ÷ 100 = 5.75 = = 5 4

5 Minute Check Find the following. 5. What is 22.5% written as a fraction in simplest form?

5 Minute Check Find the following. 5. What is 22.5% written as a fraction in simplest form? % ÷ 100 =.225 = 1000 = 40

5 Minute Check Find the following. 6. What is 6 written as a decimal?

5 Minute Check Find the following. 6. What is 6 written as a decimal? = = 6.25

Monday, Sept 15 Lesson Percent of a Number

Objective: To find the percent of a number.

Percent of a Number The method to find a percent of a number uses a proportion. A proportion is when two fractions are equivalent = 100

Percent of a Number Find 40% of 80. To Solve Percent Problems Step 1 – Set up the proportion, with the “parts” on top and the “wholes” on the bottom.

Percent of a Number Find 40% of 80. parts 40 ? 100 = 80 wholes To Solve Percent Problems Step 1 – Set up the proportion, with the “parts” on top and the “wholes” on the bottom.

Percent of a Number Find 40% of 80. To Solve Percent Problems Step 2 – Simplify, if possible. 40 ? 100 = 80

Percent of a Number Find 40% of 80. To Solve Percent Problems Step 2 – Simplify, if possible. 40 ? 100 = 80 2 ? 5 = 80

Percent of a Number Find 40% of 80. To Solve Percent Problems Step 3 – Cross multiply and divide. 2 ? 5 = 80

Percent of a Number Find 40% of 80. To Solve Percent Problems Step 3 – Cross multiply and divide. 2 ? 5 = 80 2 x 80 = 160 ÷ 5 = 32

Percent of a Number Find 40% of 80. But, before you use this method try and find a “multiplier” or “divider”. 2 ? 5 = 80 x?

Percent of a Number Find 40% of 80. But, before you use this method try and find a “multiplier” or “divider”. 2 ? 5 = 80 x16

Percent of a Number Find 40% of 80. But, before you use this method try and find a “multiplier” or “divider”. x16 2 ? 5 = 80 x16

Percent of a Number Find 40% of 80. But, before you use this method try and find a “multiplier” or “divider”. x = 80 x16

Percent of a Number Find 32% of 60. Step 1 - ?

Percent of a Number Find 32% of 60. Step 1 – Set up a proportion. 32 ? 100 = 60 Step 2 - ?

Percent of a Number Find 32% of 60. Step 2 – Simplify, if possible. 32 ? 100 = 60 8 ? 25 = 60 Step 3 - ?

Percent of a Number Find 32% of 60. Step 3 – Cross multiply and divide. 32 ? 100 = 60 8 ? 25 = x 60 = 480 ÷ 25 = = 19 5

Percent of a Number Find 32% of 60. Method 2 Convert the percent to a decimal and multiply.

Percent of a Number Find 32% of 60. Method 2 Convert the percent to a decimal and multiply. 32% = 0.32 x 60 =

Percent of a Number Find 32% of 60. Method 2 Convert the percent to a decimal and multiply. 32% = 0.32 x 60 = When multiplying decimals, multiply as normal ignoring the decimal points. 60 x

Percent of a Number Find 32% of 60. Method 2 Convert the percent to a decimal and multiply. 32% = 0.32 x 60 = Then put the decimal point in the answer - it will have as many decimal places as the two factors combined decimal place x.32 2 decimal places decimal place

Percent of a Number Reminder – when you convert the percent to a fraction you remove the percent sign. The answer will NOT have a percent sign.

Percent of a Number Find 60% of 90. (Do this on your own)

Percent of a Number Find 60% of x

Percent of a Number Find 60% of ? 100 = 90 3 ? 5 = 90 3 x 90 = 270 ÷ 5 = 54

Percent of a Number Find 275% of 4. (Do this on your own)

Percent of a Number Find 275% of 4. ÷ = 4 ÷ 25

Percent of a Number Find 275% of ? 100 = 4 11 ? 4 = 4 11 x 4 = 44 ÷ 4 = 11

Percent of a Number Find 275% of x

Percent of a Number Find 75% of 260. (Do this on your own)

Percent of a Number Find 75% of x

Percent of a Number Find 75% of ? 100 = ? 4 = x 260 = 780 ÷ 4 = 195

Percent of a Number Find 145% of 320. (Do this on your own)

Percent of a Number Find 145% of ? 100 = ? 20 = x 320 = 9280 ÷ 20 = 464

Percent of a Number Find 15% of 110. (Do this on your own)

Percent of a Number Find 15% of ? 100 = ? 20 = x 110 = 330 ÷ 20 = = 16 2

Percent of a Number Suppose there are 300 students at Central Middle School. Find the number of students that have cheese as a snack. Do this on your own.

Percent of a Number Suppose there are 300 students at Central Middle School. Find the number of students that have cheese as a snack. 15 ? 100 = ? 20 = x 300 = ÷ 20 = 45

Percent of a Number Suppose there are 300 students at Central Middle School. Find the number of students that have chips as a snack. Do this on your own.

Percent of a Number Suppose there are 300 students at Central Middle School. Find the number of students that have chips as a snack. 18 ? 100 = ? 50 = x 300 = ÷ 50 = 54

Percent of a Number When finding a percent that is less than 1, you must multiply with decimals.

Percent of a Number When finding a percent that is less than 1, you must multiply with decimals. Multiply normally, ignoring the decimal points.

Percent of a Number When finding a percent that is less than 1, you must multiply with decimals. Multiply normally, ignoring the decimal points. Then put the decimal point in the answer - it will have as many decimal places as the two factors combined.

Percent of a Number For example 30 x 0.13 Multiply and ignore the decimals 30 x

Percent of a Number For example 30 x 0.13 Add total number of decimals in the factors 30 x 13 the factors have 2 90 decimal places the product must have 2 decimal places

Percent of a Number Find.3 % of 200. (Do this on your own)

Percent of a Number Find.3 % of ? 100 = x 200 = 60 ÷ 100 = decimals x.3 1 decimal decimal

Percent of a Number Find.25% of 58. (Do this on your own)

Percent of a Number Find.25% of ? 100 = x 58 = 14.5 ÷ 100 = decimals x.25 2 decimals decimals

Percent of a Number Find 0.55% of 220. (Do this on your own)

Percent of a Number Find 0.55% of ? 100 = x 220 = 121 ÷ 100 = decimals x.55 2 decimals decimals

Percent of a Number In a recent state Special Olympics meet, Franklin County sent a team of 70 players. Twenty percent of the team competed in soccer. How many athletes competed in soccer? (Do this on your own)

Percent of a Number In a recent state Special Olympics meet, Franklin County sent a team of 70 players. Twenty percent of the team competed in soccer. How many athletes competed in soccer? 20 ? 100 = 70 1 ? 5 = 70 1 x 70 = 70 ÷ 5 = 14

Percent of a Number In this same meet 15% of the team from Delaware County competed in tennis. If there were 20 members on the team, how many played tennis? (Do this on your own)

Percent of a Number In this same meet 15% of the team from Delaware County competed in tennis. If there were 20 members on the team, how many played tennis? 15 ? 100 = 20 3 ? 20 = 20 3 x 20 = 60 ÷ 20 = 3

Percent of a Number Is 16% of 40 the same as 40% of 16?

Percent of a Number Is 16% of 40 the same as 40% of 16? 16 ? 40 ? 100 = = 16 4 ? 2 ? 25 = 40 5 = 16 4 x 40 = x 16 = ÷ 25 = ÷ 5 = 6.4 Yes, they are the same.

Percent of a Number Find 15% of 15% of 15% of 500. How does this compare to 45% of 500?

Percent of a Number Find 15% of 15% of 15% of 500. How does this compare to 45% of 500? 15 ? 100 = ? 20 = x 500 = 1500 ÷ 20 = 75

Percent of a Number Find 15% of 15% of 15% of 500. How does this compare to 45% of 500? 15 ? 100 = 75 3 ? 20 = 75 3 x 75 = 225 ÷ 20 = 11.25

Percent of a Number Find 15% of 15% of 15% of 500. How does this compare to 45% of 500? 15 ? 100 = ? 20 = x = ÷ 20 =

Percent of a Number Find 15% of 15% of 15% of 500. How does this compare to 45% of 500? 45 ? 100 = ? 20 = x 500 = 4500 ÷ 20 = ≠ 225 They are not the same.

Percent of a Number Agenda Notes Homework – Homework Practice Chapter 6.2 Test Thursday, Sept 18 Accum Review 3 due Thursday, Sept 18