Monday 3 August 2015

Working With Percentages

We see percentages every day. We may see percentages on our food labels.
We also see them in news reports when we are given statistics
We are also faced with them when we are shopping

Because we see these quite often, it is essential that we know how to work with these. 

One example that we may face could be finding a percentage of a value. For example, trying to find 10% of $820. 
To do this, or first step is to convert the percentage to a decimal. In this example, 10% becomes 0.1
We then simply multiply this decimal by our whole value. So in this example, we multiply 0.1 by $820. 
This gives us a final answer of $82. So 10% of $820 is $82. 

Another example could be finding the percentage in a group. An example of this could be to find the percentage of students with brown hair if 12 out of 30 students in a class have brown hair. 
Our first step should be to make a fraction. We know from our units on fractions that 12 out of 30 can be written as a fraction 12/30. 
We then use our skills to convert a fraction to a percentage. When we do this we get 40%. 
So we know that if 12 out of 30 students have brown hair, 40% of the class have brown hair. 


Finally, another example could be when we see an item in a store reduced by a percentage. For example, we may see a pair of jeans originally priced at $80 but are then reduced by 20%. To work their reduced price, we find what 20% of $80 is, and then subtract this from the original price. 
So first we find out what 20% of $80. To do this, we multiply 0.2 by $80 and get $16. We now know that we are reducing the jeans by $80. 
Next, we subtract the $16 from the $80 and get $64. 
We now know that jeans originally marked at $80, but then reduced by 20% would cost you $64. 

You now have the skills to move onto section 4.8 of your work booklet. The questions I need you to do are:
1: a, b, d, e, g, h
2: a, c, e, g, i
6, 7, 9
If you finish these and would like to move onto some more work, look at questions 10 as well as 13, part a, questions i, iii, and v.

As always, if you have questions please feel free to comment on here, or email me or chat to me in person.  

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