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Introduction to Percents. Identify Terms Used With Percents. Percent Like a fraction or a decimal, represents part of a whole. Means hundredths or parts in 100 Symbol is % 25% = 25/100 = 0.25 (25 parts of 100 parts) 33% = 33/100 = 0.33 (33 parts of 100 parts).

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## Introduction to Percents

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**Identify Terms Used With Percents**• Percent • Like a fraction or a decimal, represents part of a whole. • Means hundredths or parts in 100 • Symbol is % • 25% = 25/100 = 0.25 (25 parts of 100 parts) • 33% = 33/100 = 0.33 (33 parts of 100 parts)**Write A Percent As A Decimal**• Drop percent symbol and divide by 100 • 35% = 35/100 = 0.35 • Drop percent symbol and move decimal point 2 places to the left • 35% = 35.0 = 0.35**Let’s Try It**• Convert the following percentages to decimals**Writing Mixed Number Percentages as Decimals**• To write a mixed number percent as a decimal • Change the fractional part of the mixed number to a decimal percent. 8 ¼% = 8.25% • Convert decimal percent to its decimal equivalent • Move decimal point 2 places to the left 8.25% = 0.0825**Let’s Try It**• Convert the following fractional percentages to decimals • Round numbers to the nearest hundredth**Common Fractions as Percents**• 1/5 • Convert the fraction to its decimal equivalent 1/5 = 0.20 1 ÷ 5 = .20 • Convert the decimal to percent • Move decimal point 2 places to the right and add percent symbol 0.20 = 20%**Examples**• To convert fractions to decimals • divide the numerator by the denominator**Independent Practice**• Complete Worksheet 3.1 • #1 - 40**Percents are commonly used to determine interest, sales,**taxes, commissions, and discounts or to make comparisons**Key Terms**• Base • Represents 100% • That to which something is being compared • Rate • Number followed by percent symbol • The percent one number is of another one • May be written as decimal of fraction • Part • The number that is a portion of the base**As an Equation**• Part = Base x Rate • As a proportion IS % = OF 100**For Example**• What is a 30% discount on a $150 jacket? • Equation: • Part = Base x Rate • ? = $150 x 30% Convert to decimal and multiply $150 x .30 = $45**For Example**• What is a 30% discount on a $150 jacket? • Proportion Cross Multiply Divide both sides by 100 100X = (30)(150) 100X = 4500 100X = 4500 100 100 X IS % 30 = = 150 OF 100 100 X = $45**Parts with decimals**• What is 6.5% of 130? • Equation • Part = Base x Rate • X = 130 x .065 • X = 8.45**Parts With Decimals**• What is a 6.5% of 130? • Proportion Cross Multiply Divide both sides by 100 100X = (6.5)(130) 100X = 845 100X = 845 100 100 X IS % 6.5 = = 130 OF 100 100 X = 8.45**Parts with Fractions**• Suppose you had a gain of 6-1/4% on $400. What was the gain? • Change fractional percent to a decimal percent 6.25% • Drop percent symbol and move decimal point to the left two spaces .0625 • Apply formula: Part = Base x Rate X = $400 x .0625 X = $25 • The gain was $25**Finding Rate**• Rate = Part ÷ Base Example: What percent is $15 of $139? X = 15 ÷ 139 X = 0.108 = 10.8%**For Example**• What percent is $15 of $139? • Proportion Cross Multiply Divide both sides by 139 1500 = 139X 1500 = 139X 139 139 IS 15 X % = = 139 OF 100 100 X = 10.8**Independent Practice**• Complete Worksheet 3.2A & 3.2B • #1 - 46

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