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# Fractions decimals-and-percents

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### Fractions decimals-and-percents

1. 1. Parts of the whole
2. 2. All represent part of a whole
3. 3. Reference Numbers Fraction Decimal Percent 51/100 0.51 51% ¼ 0.25 25%
4. 4. A fraction is based on the number into which the whole is divided (the denominator). The numerator (the top) is the PART, the denominator (the bottom) is the whole. ½; ¼; ⅝… A decimal is based on the number in terms of tenth, hundredths, thousandths, etc… 0.5; 0.05; 0.005
5. 5. Divide the denominator (the bottom of the fraction) into the numerator (the top of the fraction). Place a decimal after the number inside the division “box” and attach as many zeros as necessary to complete the division. If the quotient does not come out evenly, follow the rules for “rounding off” numbers. numerator denominator
6. 6. .50 = 50% (0.50 x 100 = 50.0) Attach the % sign Move the decimal point two (2) places to the right (this multiplies the number by 100)
7. 7. 50% = .50 50 ÷ 100 = .50 Move the decimal point two (2) places to the left (this divides the number by 100)
8. 8. Place the number over 100 and reduce.
9. 9. Multiply the number by 100, reduce and attach a percent (%) sign.
10. 10. You will be using place value to do this! Count the decimal places of the decimal starting from the decimal point. If there is one decimal point, place the number over 10 and reduce. If there are two decimal places, place the number over 100, and reduce. If there are three decimal places, place the number over 1000, and reduce…Etc. (This is really just using your knowledge of place value to name the denominator.) 1 decimal place = tenths, 2 decimal places = hundredths, 3 decimal places = thousandths
11. 11. When solving a problem with a percent greater than 100%, the part will be greater than the whole.
12. 12. 1) what is 60% of 30? 2) what number is 25% of 160? 3) 45 is what percent of 90?
13. 13. Sloths may seen lazy, but their extremely slow movement helps make them almost invisible to predators. Sloths sleep an average of 16.5 hours per day. What percent of the day do they sleep? Solution
14. 14. Proportional method Part Part Whole Whole 24 5.16 100 n
15. 15. 1) 27 is what percent of 30? 2) 45 is 20% of what number? 3) What percent of 80 is 10? 4) 12 is what percent of 19? 5) 18 is 15% of what number? 6) 27 is what percent of 30? 7) 20% of 40 is what number? 8) 4 is what percent of 5?