Through the end of the module, review the postings of your peers and respond to at least two of them. Consider commenting on the following: Examine each example that the student provided. Did these examples sufficiently demonstrate the ways that percentages are used and misused? Explain. What have you learned regarding the necessity of carefully examining the percentages reported in advertising, news media, government reports, etc.? THESE ARE THE PEOPLE YOU WILL RESPOND TO This page automatically marks posts as read as you scroll.Adjust automatic marking as read setting Example 1: Using Percentages as Fractions: If 10% of eight graders smoke and there are 50,000 eight graders, how many eight graders smoke? 50,000 * 10% 50,000 * .10 = 5,000 eight graders smoke. Example 2: Using Percentages to Describe Change: Suppose the population of a town was 10,000 in 1970 and 15,000 in 2000. Find the absolute change and relative change. Absolute Change = 15,000 – 10,000 = 5,000 Relative Change = 5,000/10,000 * 100 = 50% Example 3: Use of Shifting Reference Value: If you accept a 10% pay cut now and get a 10% pay raise in 6 months. In 6 months- will you be back to your original salary? Starting Salary is $40,000/year If you take a 10% pay cut your salary will become (100-10) % 90 * $40,000/year .9 * 40,000/year = $36,000/year 6 months later… If you then get a pay raise it would be: 110% * 36,000 1.10 * 36,000 Which is not as much as ($40,000/year) as you started with This fits the category because it applies a decrease and an increase. Absolute change of this would be – $400 A Relative Change: – 400/ 40,000 = – 0.01= 1% Your new salary is less than 1% than your original. Example 4. Less Than Nothing: A store advertises that it will take “120% off all red tagged items. You take a red tagged blouse marked $15.97 to the counter. How much would it cost you? 120% of 15.97 1.2 * 15.97 =19.16 You should get $19.16 off the $15.97 price. This means the store would actually owe you $3.19. -This would fit this category because the reduction price is 120%, which is greater than 100. It also would be unlikely. References: N.A. (n.d.) Ch. 3 Number in the Real World [math lecture notes] Math 1030 retrieved from: http://www.math.utah.edu/krtolica/A3.pdf Leticia Towne (2014) “Uses and Abuses of Percentages Reprise” [slide show] Section A3. Retrieved from: http://slideplayer.com/slide/1550499/section3A 2.Ollie Gillaird posted Dec 17, 2018 12:30 AM Subscribe This page automatically marks posts as read as you scroll.Adjust automatic marking as read setting 1. Use of percentages as a fraction An example is a probability of getting one after rolling a fair dice ( of 6) which gives 16.667% after calculation. Only the fraction could present the information clearly to mean the expected outcome will most probably occur once in six rolls which are missed with the fraction. In this case, of means multiplication. 2. Use of percentages for comparison An example is the comparison of prices between two plots a and b selling at $150000 and $200000 respectively. Calculating how much more expensive plot b is that a give 0.33% more expensive. $200000-$150000=$50000 Based on the example, the percentage difference does not give an effective representation of the information. 3. Use of a shifting reference value. An example is an employer who decides to give his employees a 15% raise every two months after 15% cut on their weekly pay cheques of $5000. Those who agree have their cheques at: $5000-10%*$5000= $4500 The rise comes after two months. The new base value for the 5% rise is $4750 which gives: $4500+10%*$4500=$4500+450=$4950. The reality holds that accepting the rise means a reduction of $5000-$4950 which is essentially a $50 cut per week which develops the shifting reference value (MCA online, nd). 4. Use of percentage to represent less than nothing. A practical example here is a TV Set in a store such as Walmart with a 105% discount. A 100% discount means the item is free which is not the exact impression targeted by Walmart. Taking the original price of the Television set as $1000, a 105% discount will mean: $1000- ($1000 * )= -$50 A customer would have to get $50 from Walmart to go home with the TV which can never be the intended course in sales where the percentage represents less than nothing. References MCA online. (n.d.). Everyday Use of Percentages. Retrieved from http://www.staff.vu.edu.au/mcaonline/units/percent/pereve.html image_5339016831545031849156.png (254 Bytes) image_26395043841545031849158.png (254 Bytes) image_11195174751545031849161.png (254 Bytes)