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# Sec. 8.6

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• 1. Learning Target:Students will learn how to write fractions and decimals as percents.
• 2. What is a percent?
• 3. If a percent is a ratio that compares a number to 100 then how could I use that fact to figure out the percent of a fraction like 17/25?
• 4. You can write an equivalent ratio to the ratio given with a denominator of 100.17/25 = 68/100 = 68%
• 5. Write the fraction as a percent.¾7/107/209/50
• 6. Write the fraction as a percent.¾ = 75/100 = 75%7/10 = 70/100 = 70%7/20 = 35/100 = 35%9/50 = 18/100 = 18%
• 7. What’s the only problem with finding the percent this way?
• 8. What’s the only problem with finding the percent this way?A: Not every denominator is going to be a factor of 100 so you there will still be times you will just have to divide the fraction to get a decimal and change it from there.
• 9. How do you write a decimal as a percent using what we know about how to write a percent as a decimal?
• 10. To write a percent as a decimal:Divide the value by 100(Move your decimal two places to the left which will make the number smaller.)
• 11. To write a decimal as a percent:Multiply the value by 100(Move your decimal two places to the right which will make the number bigger.)
• 12. But we can also write a decimal as a percent by first writing it as a fraction and then using the what we just learned to change the fraction to a percent.
• 13. Changing a decimal to a percent.0.3 = 3/103/10 = 30/10030/100 = 30%0.105 = 105/1,000105/1,000 = 10.5/10010.5/100 = 10.5%
• 14. Write the decimal as a percent.0.90.070.041
• 15. Write the decimal as a percent.0.9 = 9/10 = 90/100 = 90%0.07 = 7/100 = 7%0.041 = 41/1,000 = 4.1/100 = 4.1%
• 16. Now it is time for us to put all of our ideas together to understand the relationship between a set of numbers.
• 17. Order the numbers 2/3, 60% and 0.64 from least to greatest.What are the different ways that you could approach this problem?
• 18. Order the numbers 2/3, 60% and 0.64 from least to greatest.A: 60%, 0.64, 2/3
• 19. It would be helpful for you to recognize common percents, decimals and fractions such as the ones listed on the top of page 431.
• 20. You have attended 15 out of 20 computer classes. You must attend 85% of the classes to get a piece of software free. Do you get the software? Explain.
• 21. You have attended 15 out of 20 computer classes. You must attend 85% of the classes to get a piece of software free. Do you get the software? Explain.A: 15 / 20 = 0.75 = 75%Since 75% < 85% you do not get the software.
• 22. Can you write fractions and decimals as percents?