Percentage & Percentage Change and conversation

Percentage & Percentage Change and conversation

• 1.
  PERCENTAGE Percentage & PercentageChange Definitions, Examples, & Practice A classroom-ready pack on understanding and mastering percentages.
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  What is aPercentage? A percentage is a way of expressing a number as a fraction of 10- 0. ● The word "percent" means "out of 100". ● It's a way to compare quantities relative to a whole. ● Represented by the symbol "%" Example: 50% means 50 out of 100, or 1/2.
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  Quick Examples –Percentages ● 25% of 200: (25/100) * 200 = 50 ● 12 out of 30 as %: (12/30) * 100 = 40% ● 7% as fraction/decimal: 7/100 = 0.07
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  Solved Problems –Percentage (1 & 2) Problem 1: Finding 25% of 360 Convert the percentage to a decimal: 25% = 0.25 Multiply the decimal by the number: 0.25 * 360 = 90 Therefore, 25% of 360 is 90. Problem 2: What percent of 30 is 12? Set up the equation: (x/100) * 30 = 12 Solve for x: x = (12/30) * 100 = 40 Therefore, 12 is 40% of 30.
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  Solved Problems –Percentage (3, 4 & 5) Problem 3: Score Percentage: You scored 45 out of 50 on a test. What's your percentage? (45/50) * 100 = 90% Problem 4: Class Boys/Girls Percentage: In a class of 40 students, 16 are boys. What percentage are girls? Boys: (16/40) * 100 = 40% Girls: 100% - 40% = 60% Problem 5: Sales Tax Example: A shirt costs $25, and the sales tax is 8%. How much is the tax? (8/100) * 25 = $2
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  Practice Problems – Percentage ●What is 15% of 120? ● 9 is what percent of 45? ● Convert 68% to a fraction and a decimal. ● If you save 30% on a $50 item, how much did you save? ● What is the percentage equivalent of 3/8?
• 7.
  What is PercentageChange? Percentage Change shows how much a quantity increases or decreases relative to its initial valu- e. ● Formula: [(New Value - Old Value) / Old Value] * 100 ● Increase: New value is greater than the old value (positive result). ● Decrease: New value is less than the old value (negative result).
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  Quick Examples –Percentage Change ● 250 300 (Increase): [(300 - 250) / 250] * 100 = 20% → increase. ● 80 68 (Decrease): [(68 - 80) / 80] * 100 = -15% decrease. →
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  Solved Problems – PercentageChange (1 & 2) Problem 1: Salary Increase Example: Your salary increased from $2000 to $2300. What is the percentage increase? ● Apply the formula: [($2300 - $2000) / $2000] * 100 Calculate: ($300 / $2000) * 100 = 15% increaseProblem 2: Price Drop Example: The price of a game dropped from $60 to $45. What is the percentage decrease? Apply the formula: [($45 - $60) / $60] * 100 Calculate: (-$15 / $60) * 100 = -25% decrease
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  Solved Problems –Percentage Change (3, 4 & 5) Problem 3: Population Change: A town's population went from 12,000 to 13,800. Calculate the percent change. [(13800-12000)/12000] * 100 = 15% increaseProblem 4: Discount Jacket: A jacket originally priced at $80 is now $60. What is the discount percentage? [(60-80)/80] * 100 = -25% decrease Problem 5: Score Improvement: Your test score improved from 70 to 84. What is the percentage improvement? [(84-70)/70] * 100 = 20% increase
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  Practice Problems – PercentageChange ● The price of gas increased from $3.00 to $3.60. What's the percentage increase? ● A store decreased its prices by 20%. If an item originally cost $100, what's the new price? (Hint: Find the change first). ● A company's profit went from $50,000 to $45,000. Calculate the percent change. ● If your weight went from 150 lbs to 135 lbs, what is the percentage decrease? ● The number of students in a class increased from 25 to 30. Find the percentage increase.
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  Closing Slide **Key Takeaways:-** ● Percentages express numbers out of 100. Percentage change measures the relative increase or decrease.Encourage Pract- ice: The more you practice, the better you'llbecome. Keep practicing and you'll master percentages in no time!