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6-1 Workbook

6-1 Workbook. Shade 53 squares Shade 23 squares Shade 71 squares 80% 60% 90% 30% 24% 7% 18% 36% 40% 70% 16% 64% 55% 95% 54% 82% 36% 40% 75% ½+1/4 ½+1/8 Sample answer: ½ + 1/3 + 1/15 ½+1/12. 6-1 GPS. Nineteen-twentieths of the troops had never before been in a battle.

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6-1 Workbook

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  1. 6-1 Workbook • Shade 53 squares • Shade 23 squares • Shade 71 squares • 80% • 60% • 90% • 30% • 24% • 7% • 18% • 36% • 40% • 70% • 16% • 64% • 55% • 95% • 54% • 82% • 36% • 40% • 75% • ½+1/4 • ½+1/8 • Sample answer: ½ + 1/3 + 1/15 • ½+1/12

  2. 6-1 GPS • Nineteen-twentieths of the troops had never before been in a battle. • Find the percent of troops that had previously been in a battle. • 19/20 • 1/20 • 100 • 5/100 • 5% • 95%; 95% + 5%=100%; yes • 60%

  3. Reteaching 6-1 • 30% • 40% • 55% • 40% • 65% • 45% • 60% • 17% • 72% • 80% • 25% • 4% • 35% • 84% • 30% • 40% • 99% • 55% • 10% • 78% • 95%

  4. Reteaching 6-2 • 75% • 48% • 80% • 575% • 9/20 • 3/5 • 4/25 • ¼ • 3/8 • 99/100 • 2/5 • 43/50 • 0.35 • 0.48 • 0.08 • 0.12 • 0.055 • 0.006 • 39% • 73.5% • 34% • 40% • 60% • 600%

  5. Percent comes from the Latin per centum, or “per hundred”Consequently, a number such as 32% can be written as “32 per hundred” or the fraction 32/100. This fraction is equivalent to the decimal 0.32.Percent – is a ratio of a number to 100.

  6. How do we get from one form to another?

  7. 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 A percent is based on the number in terms of 100 or “per hundred”.12%; 4%; 0.05%...

  8. Fraction to Decimal numerator Divide the denominator (the bottom of thefraction) into the numerator (the top ofthe 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. denominator

  9. .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) Decimal to percent

  10. Percent to decimal 50% = .50 50 ÷ 100 = .50 Move the decimal point two (2) places to the left (this divides the number by 100)

  11. Percent to fraction Place the number over 100 and reduce.

  12. Fraction to percent Multiply the number by 100, reduce and attach a percent (%) sign.

  13. Decimal to fraction 1 decimal place = tenths, 2 decimal places = hundredths, 3 decimal places = thousandths 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.)

  14. Remember that fractions, decimals, and percents are discussing parts of a whole, not how large the whole is.Fractions, decimals, and percents are part of our world. They show up constantly when you least expect them. Don’t let them catch you off guard. Learn to master these numbers.

  15. Percents to Remember

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