5 Minute Check Write each decimal as a fraction or mixed number. 1. 0.3 2. 1.65 Write each fraction as a decimal. 3. 4. 21.

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Presentation transcript:

5 Minute Check Write each decimal as a fraction or mixed number. 1. 0.3 2. 1.65 Write each fraction as a decimal. 3. 4. 21

5 Minute Check Write each decimal as a fraction or mixed number. 1. 0.3 =

5 Minute Check Write each decimal as a fraction or mixed number. 2. 1.65

5 Minute Check Write each decimal as a fraction or mixed number. 2. 1.65 = 1 = 1

5 Minute Check Write each fraction as a decimal. 3.

5 Minute Check Write each fraction as a decimal. 3. = = 0.76

5 Minute Check Write each fraction as a decimal. 4. 21

5 Minute Check Write each fraction as a decimal. 4. 21 = 21 = 21.625

Lesson 6.2.2 and 6.2.3 Percents, Decimals and Fractions Tuesday, Sept 9 Lesson 6.2.2 and 6.2.3 Percents, Decimals and Fractions

Percents, Decimals and Fractions Objective: To understand how to convert between percents, decimals and fractions.

Percents, Decimals and Fractions Lesson 6.2.2

Percents, Decimals and Fractions A percent is a ratio that compares a number to 100. Examples 50 50%=50:100 50%=100

Percents, Decimals and Fractions A percent is a ratio that compares a number to 100. What ratio does 75% represent?

Percents, Decimals and Fractions A percent is a ratio that compares a number to 100. What ratio does 75% represent? 75 75:100 75 out of 100 100

Percents, Decimals and Fractions A percent is a ratio that compares a number to 100. Are these in simplest form? 75 75:100 75 out of 100 100

Percents, Decimals and Fractions A percent is a ratio that compares a number to 100. Are these in simplest form? 3 3:4 3 out of 4 4

Percents, Decimals and Fractions Write 40% as a fraction. To Write a Percent as a Fraction. Step 1 - Write the percent as a rate out of 100. 40 100

Percents, Decimals and Fractions Write 40% as a fraction. To Write a Percent as a Fraction. Step 2 – Simplify, if necessary. 40 ÷2 2 100 ÷2 = 5

Percents, Decimals and Fractions Write 75% as a fraction. Do this on your own.

Percents, Decimals and Fractions Write 75% as a fraction. 75 ÷25 3 100 ÷25 = 4

Percents, Decimals and Fractions Write 90% as a fraction. Do this on your own.

Percents, Decimals and Fractions Write 90% as a fraction. 90 ÷10 9 100 ÷10 =10

Percents, Decimals and Fractions Write 38% as a fraction. Do this on your own.

Percents, Decimals and Fractions Write 38% as a fraction. 38 ÷2 19 100 ÷2 = 50

Percents, Decimals and Fractions In a recent survey 55% of cell phone users say they text. What fraction of cell phone users is this? (Do this on your own)

Percents, Decimals and Fractions In a recent survey 55% of cell phone users say they text. What fraction of cell phone users is this? 55 ÷5 11 100 ÷5 = 20

Percents, Decimals and Fractions The table shows the percent of each movie type rented during a month. What fraction of the rentals were action movies?

Percents, Decimals and Fractions The table shows the percent of each movie type rented during a month. What fraction of the rentals were action movies? 35 ÷5 7 100 ÷5 = 20

Percents, Decimals and Fractions The table shows the percent of each movie type rented during a month. What fraction of the rentals were action movies? 35 ÷5 7 100 ÷5 = 20 You did not need to add up the percents to get the total. Why?

Percents, Decimals and Fractions 6 Write 8 as a percent. To Write a Fraction as a Percent. Step 1 – Convert the fraction to a decimal. 6 3 75 8 = 4 = 100 = 0.75

Percents, Decimals and Fractions 6 Write 8 as a percent. To Write a Fraction as a Percent. Step 2 – Multiply by 100 and add the % sign. (Or just move the decimal point two places to the right). 6 3 75 8 = 4 =100 = 0.75x 100 = 75%

Percents, Decimals and Fractions 5 Write 20 as a percent. (Do this on your own)

Percents, Decimals and Fractions 5 Write 20 as a percent. 5 1 25 20 = 4 =100 = 0.25 x 100 = 25%

Percents, Decimals and Fractions 1 Write 5 as a percent. (Do this on your own)

Percents, Decimals and Fractions 1 Write 5 as a percent. 1 20 5 = 100 = 0.20 x 100 = 20%

Percents, Decimals and Fractions Mitchell made 12 out of 40 shots during the basketball game. What percentage of the shots did he make? Do this on your own.

Percents, Decimals and Fractions Mitchell made 12 out of 40 shots during the basketball game. What percentage of the shots did he make? 12 3 40 =10= 0.3 x 100 = 30% What percentage of his shots did he NOT make?

Percents, Decimals and Fractions Mitchell made 12 out of 40 shots during the basketball game. What percentage of the shots did he make? What percentage of his shots did he NOT make? 100% - 30% = 70%

Percents, Decimals and Fractions Elsa ran for 7 out of 10 days. What percent of days did she run? Do this on your own.

Percents, Decimals and Fractions Elsa ran for 7 out of 10 days. What percent of days did she run? 7 10 = 0.7 x 100 = 70%

Percents, Decimals and Fractions During a workout, Elan spent 28% of his time on the treadmill. What fraction of his workout was on the treadmill? Do this on your own.

Percents, Decimals and Fractions During a workout, Elan spent 28% of his time on the treadmill. What fraction of his workout was on the treadmill? 28 ÷2 14 ÷2 7 100 ÷2 = 50 ÷2 = 25

Percents, Decimals and Fractions Lesson 6.2.3

Percents, Decimals and Fractions Write 48% as a decimal. To Write a Percent as a Decimal. Divide the decimal by100 and remove the % sign. (Or just move the decimal point two places to the left). 48% ÷100 = .48 or .48.

Percents, Decimals and Fractions Write 56% as a decimal. (Do this on your own)

Percents, Decimals and Fractions Write 56% as a decimal. 56% ÷100 = .56 .56.

Percents, Decimals and Fractions Write 32% as a decimal. (Do this on your own)

Percents, Decimals and Fractions Write 32% as a decimal. 32% ÷100 = .32 .32.

Percents, Decimals and Fractions Write 93% as a decimal. (Do this on your own)

Percents, Decimals and Fractions Write 93% as a decimal. 93% ÷100 = .93 .93.

Percents, Decimals and Fractions Write 122% as a decimal. (Do this on your own)

Percents, Decimals and Fractions Write 122% as a decimal. 122% ÷100 = 1.22 1 .22. This is tomorrow’s lesson!

Percents, Decimals and Fractions Write .4 as a percent. To Write a Decimal as a Percent. Multiply the decimal by100 and add the % sign. (Or just move the decimal point two places to the right. Don’t forget to add zeros). .4 x 100 = 40% .40.%

Percents, Decimals and Fractions Write .25 as a percent. (Do this on your own)

Percents, Decimals and Fractions Write .25 as a percent. .25 x 100 = 25% .25.%

Percents, Decimals and Fractions Write .73 as a percent. (Do this on your own)

Percents, Decimals and Fractions Write .73 as a percent. .73 x 100 = 73% .73.%

Percents, Decimals and Fractions Write .05 as a percent. (Do this on your own)

Percents, Decimals and Fractions Write .05 as a percent. .05 x 100 = 5% .05.%

Percents, Decimals and Fractions Write .775 as a percent. (Do this on your own)

Percents, Decimals and Fractions Write .775 as a percent. .775 x 100 = 77.5% .77.5%

Percents, Decimals and Fractions Write 1.5 as a percent. (Do this on your own)

Percents, Decimals and Fractions Write 1.5 as a percent. 1.5 x 100 = 150% 1.50.%

Percents, Decimals and Fractions Write 5.634 as a percent. (Do this on your own)

Percents, Decimals and Fractions Write 5.634 as a percent. 5.634 x 100 = 563.4% 5.63.4%

Percents, Decimals and Fractions The United States produces more corn than any other country, producing .35 of the total corn crops. What is the percentage?

Percents, Decimals and Fractions The United States produces more corn than any other country, producing .4 of the total corn crops. What is the percentage? .35 x 100 = 35%

Percents, Decimals and Fractions Which number does not belong? 9 45 8 20 100 45% 45 Do this on your own.

Percents, Decimals and Fractions Which number does not belong? 9 45 8 20 100 45% 45 8 9 45 , the other numbers are equivalent to 20

Percents, Decimals and Fractions Write a decimal between .5 and .75. Then write it as a fraction in the simplest form. Do this on your own.

Percents, Decimals and Fractions Write a decimal between .5 and .75. Then write it as a fraction in the simplest for form and then write it as a fraction. There are many answers to this. Sample answer .6 = = = 60%

Percents, Decimals and Fractions How would you write 43 % as a decimal? Do this on your own.

Percents, Decimals and Fractions How would you write 43 % as a decimal? 3 75 43 4 =43100 = 43.75% 43.75% ÷100 = 0.4375 .43.75

Percents, Decimals and Fractions Over the past two days we have learned 6 methods for writing percents, decimals and fractions. You should be able to write a….

You should be able to write a: Decimal as a Fraction Simplify the word form.

You should be able to write a: Decimal as a Fraction Simplify the word form. Fraction as a Decimal Equivalent fraction with a denominator of 10, 100, or 1000.

You should be able to write a: Decimal as a Fraction Simplify the word form. Fraction as a Decimal Equivalent fraction with a denominator of 10, 100, or 1000. Percent as a Fraction Put the number over 100 and simplify.

You should be able to write a: Decimal as a Fraction Simplify the word form. Fraction as a Decimal Equivalent fraction with a denominator of 10, 100, or 1000. Percent as a Fraction Put the number over 100 and simplify. Fraction as a Percent Convert to a decimal and multiply by 100.

You should be able to write a: Decimal as a Fraction Simplify the word form. Fraction as a Decimal Equivalent fraction with a denominator of 10, 100, or 1000. Percent as a Fraction Put the number over 100 and simplify. Fraction as a Percent Convert to a decimal and multiply by 100. Percent as a Decimal Move the decimal point two places to the left.

You should be able to write a: Decimal as a Fraction Simplify the word form. Fraction as a Decimal Equivalent fraction with a denominator of 10, 100, or 1000. Percent as a Fraction Put the number over 100 and simplify. Fraction as a Percent Convert to a decimal and multiply by 100. Percent as a Decimal Move the decimal point two places to the left. Decimal as a Percent Move the decimal point two places to the right.

Percents, Decimals and Fractions Agenda Notes Homework – Homework Practice 6.2.2/6.2.3 Due Wednesday, Sept 10 Mid-Chapter Quiz Thursday, Sept 11