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Percents and decimals. These are often confusing when looked at in a fractional light.
How many of the following columns and rows can you fill out?
If you can't do any of them, that's okay.
Let's start with decimals to fractions.
.1 = 1/10
.01 = 1/100
.001 = 1/1000
See the pattern? When we see .1 we should say it as one tenth. Let's use our 6.28 example. It doesn't show it above, because 1 = 1/1, but that means we have 6 wholes. A whole being 1.000. Then we have .2 which looks like 2/10 if we use the examples above. Next, .08, looks like the second example, so we get 8/100. If we add the two fractions together we get 28/100. Hence, 6.28% is also 6 and 28/100. If your teacher asks you to reduce, you can change 28/100 into 7/25.
Can you do it the other way? Let's try 1/4. Will 4 go into 10? No. Will it go into 100? Yes. 4x25=100. Hence, we need to multiply 1 by 25 as well. 25/100. From this point, you can probably write out the decimal. .25, right? Yup!
Here are the relationships in simpler forms.
6.28% is not the same at what we figured up top though. To turn a percent into a true decimal for extended equations, we have to; divide by 100, move the decimal to the left two spots, or some other trick. So, 6.28% is actually .0628. Why do you divide by 100 though? Truth be told, 100% is your whole. Instead of dividing by 100, you're actually dividing by 100%.
The image below shows you these relationships.
See you all for the next great offer!
I thought that your blog was fabulous! I really like how you added humor to your blog as well as all the information you included. It was actually fun for me to read this and I was learning at the same time. All of your pictures were really helpful and really got across your point. The last picture that shows the relationships between fractions, decimals and percents was the most helpful out of all the pictures. I think you really conveyed everything that we went over in class and it definitely refreshed my memory!
ReplyDeleteThis is an interesting way to start a blog. I like it though. It was kind of nice to have to test myself and see what I know. You did this well too because after you put the little sheet you also went into detail about how to get the answers if you don’t know how to. I also really like the little diagram about the decimals and the tens, hundreds etc. place. The diagram at the bottom is really cool too! I like how you found a moving picture! It is interesting to actually see how each percent moves up and corresponds to one another.
ReplyDelete