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Name: ____________________________________________Period: ________Date: _____________ Chapter 6 Study Guide Chapter 6-1: Fractions, Decimals and Percents: Fractions to Percents: Divide the number by the denominator, multiply by 100, and then add a % sign. Turn the following Fractions into Percents 1.) 5 6 = ____________ 2.) 18 15 = _______________ Decimal to Percent: Multiply by 100 and then add the percent sign Turn the following Decimals in Percents 1.) 0.368 = _______________ 2.) 5.697 = _______________ Percent to Fraction: Remove the percent sign, put the number over 100, then simplify *do not change the number when you put it over 100* 1.) 135% = _______________ 2.) 20.5% = _______________ Percent to Decimal: Remove the percent sign, then divide by 100. *Percent means Per 100* 1.) 5.1% = _______________ 2.) 242% = _______________ Chapter 6-2: Estimate with Percents: The goal is to make it easier on you to compute. *Remember to only estimate if it tells you to and ASK YOURSELF IF YOUR ANSWER MAKES SENSE First estimate your numbers turn the percent into a fraction and use fraction bars to solve. 1.) 21% of 111 ≈ _______________ 2.) 34% of 58 ≈ _______________ Chapter 6-3 and 6-4: Percent of a Number and Solving Equations : “Of means Multiply” and set up a proportion to solve. Don’t forget to follow the steps. 1. Set up the proportion. 2. Identify the “part” %. 3. Change the percent to part. 4. Check for “of”; the number after it is always the whole. whole 100% 1.) 60% of 10 is what number? = part part% 2.) What number is 25% of 160? 3.) What percent of 64 is 34? 4.) 55 is 80% of what number? Chapter 6-5: Percent of Change: Finding out what percent the amount of change is compared to the original amount. You must state if it is an increase or decrease. Written as a %. Percent of Change = amount of change orginal amount x 100 1.) At the beginning of the summer your friends pond had 32 fish in it. By the end of summer the pond had 58 fish. Find the percent of change. (Remember how to write your answer) 2.) In August, your water bill was $48. In September, it was 15% lower. How much was the water bill in September? Chapter 6-6: Simple Interest: Make sure you understand what each part of the Simple Interest equation means. Also that you total amount you owe or the total amount in a savings account is the Principal + the interest. Units: Interest – Dollars; Principal – Dollars; Rate – Percent; Time - Years I = Prt 1.) A deposit of $500 in an account earns 6% simple interest. How long will it be before the total amount is $575? 2.) A deposit of $3,000 becomes $3,810 after 6 years. What is the simple interest rate on the account? Vocabulary: Interest, Percent, Percent of Change, Percent of Decrease, Percent of Increase, Principal, Simple Interest (All will be on the test)