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Understanding Decimals and Percents: 5th Grade Lesson

Explore the concept of decimals as percents with examples and practice exercises for 5th-grade students to grasp the conversion from decimals to percents, enhancing their number sense skills.

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Understanding Decimals and Percents: 5th Grade Lesson

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  1. Learning ObjectiveName _______________________ Today, we will show common decimal numbers as percents. CFU What are we going to do today? Activate (or provide) Prior Knowledge Read each amount. Seventy-five hundredths 1. ones tenths hundredths thousandths Twenty-five hundredths 2. CFU Teacher reads problem #1. Students read problem #2. Students, you already know that place value tells you the value of decimal numbers. Today, we will use our knowledge of the place value of decimal numbers to show them as percents. ones tenths hundredths thousandths 5th Grade Number Sense 1.2 (5Q) Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number. Lesson to be used by EDI-trained teachers only.

  2. Concept Development • A percent (%)is a special way of writing fractions with a denominator of 100. • The root word “cent” means hundred. • Percent means “per hundred” or “out of 100.” “Cent” in everyday words. A century is 100 years. There are 100 cents in a dollar. There are 100 centimeters in a meter. Example: = “25 per hundred” 25% “25 percent” CFU On her birthday, Grandma Velma became a centenarian. How old do you think she is? How do you know? = 100 years old • A decimal number represents a whole number and part of a whole number separated by a decimal point . • Numbers can be represented with decimal numbers, words, fractions, and percents. • We often think about decimal numbers and percents in terms of parts of a dollar. Which of the following fractions means 30%? How do you know? A. B. Example: Equivalent1 forms of a number. 1 equal in value Which fraction represents the same amount as seventy-five hundredths? A. B. Parts of a dollar Uncle John says he will pay you 90% of a dollar each time you walk his dog. How much money will you earn for walking the dog one time? A. $0.09 B. $0.90 C. $9.00 $0.25 = 25 cents In your own words, what is a percent? A percent is ________. Click here to see how I make equivalent forms of a number 5th Grade Number Sense 1.2 (5Q) Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number. Lesson to be used by EDI-trained teachers only.

  3. Concept Demonstration “Cent” in everyday words. A century is 100 years. There are 100 cents in a dollar. There are 100 centimeters in a meter. Click to go back to Concept Development. ones tenths hundredths thousandths 5th Grade Number Sense 1.2 (5Q) Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number. Lesson to be used by EDI-trained teachers only.

  4. Skill Development/Guided Practice thousandths ones tenths hundredths • A percent(%) is a special way of writing fractions with a denominator of 100. • The root word “cent” means hundred. • Percent means “per hundred” or “out of 100.” Show common decimal numbers as percents. 35 45 1. Which percent is equal to 0.35? 2. Which percent is equal to 0.45? = 35% = 45% A. 350% B. 3.5% C. 35% D. 0.35% A. 450% B. 45% C. 4.5% D. 0.45% 0 3 5 0 4 5 ones ones thousandths thousandths tenths hundredths tenths hundredths 0.35 is equal to 35% 0.45 is equal to 45% 3. What percent is equivalent to 0.04? 4. What percent is equivalent to 0.06? 4 6 = 6% 0 0 4 6 0 = 4% 0 ones ones thousandths thousandths tenths hundredths tenths hundredths 0.06 is equivalent to 6% 0.04 is equivalent to 4% 80 70 5. Which percent is equal to 0.8? 6. Which percent is equal to 0.7? = 80% = 70% A. 700% B. 70% C. 7% D. 0.7% A. 0.8% B. 8% C. 80% D. 800% 8 0 0 7 0 0 ones ones thousandths thousandths tenths hundredths tenths hundredths 0.8 is equal to 80% 0.7 is equal to 70% CFU Why did I place the decimal number in the place value chart? How did I use the place value chart to create a fraction? Why did I create a fraction with 100 in the denominator? How did I change the fraction to a percent? Why did you place the decimal number in the place value chart? How did you use the place value chart to create a fraction? Why did you create a fraction with 100 in the denominator? How did you change the fraction to a percent? 5th Grade Number Sense 1.2 (5Q) Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number. Lesson to be used by EDI-trained teachers only.

  5. Skill Development/Guided Practice (continued) thousandths ones tenths hundredths • A percent(%) is a special way of writing fractions with a denominator of 100. • The root word “cent” means hundred. • Percent means “per hundred” or “out of 100.” Show common decimal numbers as percents. 7. What percent is equal to 0.1? 8. What percent is equal to 0.5? 10 50 = 10% 1 0 0 5 = 50% 0 0 ones ones thousandths thousandths tenths hundredths tenths hundredths 0.1 is equal to 10% 0.5 is equal to 50% 10. Which percent is equivalent to 0.375? 9. Which percent is equivalent to 0.625? 62.5 A. 375% B. 0.375% C. 3.75% D. 37.5% 37.5 A. 625% B. 62.5% C. 6.25% D. 0.625% 2 0 6 5 7 5 3 0 = 62.5% = 37.5% ones thousandths tenths hundredths ones thousandths tenths hundredths 0.625 is equivalent to 62.5% 0.375 is equivalent to 37.5% 11. What percent is equal to 0.125? 12. What percent is equal to 0.875? 87.5 12.5 = 87.5% = 12.5% 8 7 5 0 1 2 5 0 ones ones thousandths thousandths tenths hundredths tenths hundredths 0.125 is equal to 12.5% 0.875 is equal to 87.5% CFU Why did I place the decimal number in the place value chart? How did I use the place value chart to create a fraction? Why did I create a fraction with 100 in the denominator? How did I change the fraction to a percent? Why did you place the decimal number in the place value chart? How did you use the place value chart to create a fraction? Why did you create a fraction with 100 in the denominator? How did you change the fraction to a percent? 5th Grade Number Sense 1.2 (5Q) Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number. Lesson to be used by EDI-trained teachers only.

  6. Importance Sample Test Question: 8. What percent is equal to 0.835 A 83.5% B 8.35% C 0.835% D 835% • A percent (%) is a special way of writing fractions with a denominator of 100. • The root word “cent” means hundred. • Percent means “per hundred” or “out of 100.” 1. Showing common decimal numbers as percents helps us understand the percent probability2 of an event occurring3. 2 how likely or unlikely it is that something will happen 3 happening Michael was told the probability of having the spinner land on the shaded region is 0.40. What percent probability is there that the spinner will land in the shaded region? There is a 40% chance the spinner will land in the shaded region. 2. Showing common decimal numbers as percents will help you do well on tests. CFU Does anyone else have another reason why it is important to show common decimal numbers as percents? (pair-share) Why is it important to show common decimal numbers as percents? You may give one of my reasons or one of your own. Which reason is more important to you? Why? 5th Grade Number Sense 1.2 (5Q) Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number. Lesson to be used by EDI-trained teachers only.

  7. Closure 1. Show common decimal numbers as percents below. 2. In your own words, what is a percent? • A percent(%) is a special way of writing fractions with a denominator of 100. • The root word “cent” means hundred. • Percent means “per hundred” or “out of 100.” 1. Which percent is equal to 0.65? A. 65% B. 650% C. 6.5% D. 0.65% 65 0 6 5 = 65% 0.65 is equal to 65% ones thousandths tenths hundredths 2. What percent is equivalent to 0.08? 8 0 8 0 = 8% 0.08 is equivalent to 8% ones thousandths tenths hundredths What did you learn today about showing common decimal numbers as percents? Day 1 ___________________________________________________________________________________________________ ________________________________________________________________________________________________________ Day 2 ___________________________________________________________________________________________________ ________________________________________________________________________________________________________ 5th Grade Number Sense 1.2 (5Q) Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number. Lesson to be used by EDI-trained teachers only.

  8. Independent Practice Name ____________________ thousandths ones tenths hundredths • A percent(%) is a special way of writing fractions with a denominator of 100. • The root word “cent” means hundred. • Percent means “per hundred” or “out of 100.” Show common decimal numbers as percents. 1. Which percent is equal to 0.17? 2. What percent is equivalent to 0.02? 2 17 A. 0.17% B. 1.7% C. 17% D. 170% 2 0 0 = 2% = 17% 0 1 7 ones thousandths tenths hundredths ones thousandths tenths hundredths 0.17 is equal to 17% 0.02 is equivalent to 2% 3. Which percent is equal to 0.4? 4. What percent is equivalent to 0.9? 90 40 A. 4% B. 0.4% C. 400% D. 40% = 90% 0 9 0 4 0 0 = 40% ones thousandths tenths hundredths ones thousandths tenths hundredths 0.4 is equal to 40% 0.9 is equivalent to 90% 5. Which percent is equal to 0.125? 6. What percent is equivalent to 0.375? 12.5 37.5 A. 125% B. 0.125% C. 12.5% D. 1.25% 2 5 1 0 = 12.5% 0 7 3 5 = 37.5% ones thousandths tenths hundredths ones thousandths tenths hundredths 0.125 is equal to 12.5% 0.375 is equivalent to 37.5% 5th Grade Number Sense 1.2 (5Q) Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number. Lesson to be used by EDI-trained teachers only.

  9. Periodic Review 1 Name ____________________ thousandths ones tenths hundredths • A percent(%) is a special way of writing fractions with a denominator of 100. • The root word “cent” means hundred. • Percent means “per hundred” or “out of 100.” Show common decimal numbers as percents. 1. Which percent is equal to 0.81? 81 2. What percent is equivalent to 0.08? 8 A. 0.81% B. 81% C. 8.1% D. 810% = 81% 8 0 0 0 8 1 = 8% ones thousandths tenths hundredths ones thousandths tenths hundredths 0.81 is equal to 81% 0.08 is equivalent to 8% 3. Which percent is equal to 0.2? 4. What percent is equivalent to 0.3? 20 30 A. 200% B. 20% C. 2% D. 0.2% = 20% 3 0 0 = 30% 0 2 0 ones thousandths tenths hundredths ones thousandths tenths hundredths 0.2 is equal to 20% 0.3 is equivalent to 30% 5. Which percent is equal to 0.875? 87.5 6. What percent is equivalent to 0.625? 62.5 A. 875% B. 0.875% C. 8.75% D. 87.5% = 87.5% 8 0 7 5 6 2 0 5 = 62.5% ones thousandths tenths hundredths ones thousandths tenths hundredths 0.875 is equal to 87.5% 0.625 is equivalent to 62.5% 5th Grade Number Sense 1.2 (5Q) Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number. Lesson to be used by EDI-trained teachers only.

  10. Periodic Review 2 Name ____________________ thousandths ones tenths hundredths • A percent(%) is a special way of writing fractions with a denominator of 100. • The root word “cent” means hundred. • Percent means “per hundred” or “out of 100.” Show common decimal numbers as percents. 1. Which percent is equal to 0.42? 2. What percent is equivalent to 0.01? 42 1 A. 420% B. 42% C. 4.2% D. 0.42% = 42% 0 0 1 0 4 2 = 1% ones thousandths tenths hundredths ones thousandths tenths hundredths 0.42 is equal to 42% 0.01 is equivalent to 1% 3. Which percent is equal to 0.8? 4. What percent is equivalent to 0.5? 80 50 A. 0.08% B. 8% C. 80% D. 800% = 80% 5 0 0 = 50% 8 0 0 ones thousandths tenths hundredths ones thousandths tenths hundredths 0.8 is equal to 80% 0.5 is equivalent to 50% 5. Which percent is equal to 0.375? 6. What percent is equivalent to 0.125? 37.5 12.5 A. 375% B. 37.5% C. 3.75% D. 0.375% = 37.5% 7 5 0 3 0 1 2 5 = 12.5% ones thousandths tenths hundredths ones thousandths tenths hundredths 0.375 is equal to 37.5% 0.125 is equivalent to 12.5% 5th Grade Number Sense 1.2 (5Q) Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number. Lesson to be used by EDI-trained teachers only.

  11. Periodic Review 3 Name ____________________ thousandths ones tenths hundredths • A percent(%) is a special way of writing fractions with a denominator of 100. • The root word “cent” means hundred. • Percent means “per hundred” or “out of 100.” Show common decimal numbers as percents. 1. Which percent is equal to 0.67? 2. What percent is equivalent to 0.09? 67 9 A. 0.67% B. 6.7% C. 670% D. 67% = 67% 0 0 9 0 6 7 = 9% ones thousandths tenths hundredths ones thousandths tenths hundredths 0.67 is equal to 67% 0.09 is equivalent to 9% 3. Which percent is equal to 0.6? 4. What percent is equivalent to 0.1? 60 10 A. 60% B. 6% C. 0.6% D. 600% 0 = 60% 1 0 = 10% 6 0 0 ones thousandths tenths hundredths ones thousandths tenths hundredths 0.6 is equal to 60% 0.1 is equivalent to 10% 5. Which percent is equal to 0.625? 6. What percent is equivalent to 0.875? 62.5 A. 625% B. 62.5% C. 6.25% D. 0.625% 87.5 = 62.5% 2 5 0 6 7 0 8 5 = 87.5% ones thousandths tenths hundredths ones thousandths tenths hundredths 0.625 is equal to 62.5% 0.875 is equivalent to 87.5% 5th Grade Number Sense 1.2 (5Q) Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number. Lesson to be used by EDI-trained teachers only.

  12. Blank Page 5th Grade Number Sense 1.2 (5Q) Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number. Lesson to be used by EDI-trained teachers only.

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