6th Grade Percentages & Proportions

Sramish

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This is for problem number 13, but will also need help with number 14 which I’ll post separately. We got to the point of converting 1.14% to a decimal of .0114 but are stuck now. Is writing the decimal version the answer for part a? For part b, do we just multiply .0114 and 2000? We got .2599 which 25.99% if that’s the write route. Is that showing a proportion of cases being rejected each hour?

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This is for problem number 13, but will also need help with number 14 which I’ll post separately. We got to the point of converting 1.14% to a decimal of .0114 but are stuck now. Is writing the decimal version the answer for part a? For part b, do we just multiply .0114 and 2000? We got .2599 which 25.99% if that’s the write route. Is that showing a proportion of cases being rejected each hour?
For part (a), they want not the decimal, which is the amount "per 1", but the amount "per 100", which is just 1.14. That is, 1.14% of 100 is 114, so 1.14% means 1.14 per 100. This might be written in words, or as the fraction 1.14/100. I'm not sure what form your book uses. (Check answers to examples or to exercises to find out.)

For part (b), you are right to multiply, but the answer is not .2599 and is not a percentage but a number of cases. Each hour they reject 1.14% of 2000 cases, that is 0.0114*2000. Do that multiplication correctly, and you have the number of cases rejected each hour.
 
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