Monday, May 21, 2007

Term 2 Week 5

some people take their 50% very seriously

Percentages roll on this week.

By now we have reaffirmed that fractions, decimals and percentages are all interchangeable, and all indicate how much of something we have.
eg 1/2 is the same as 0.5 which is the same as 50%

We know how to change from one to another:

To convert 1/2 to a percentage we multiply by 100%
1/2 x 100% = 100/2 = 50%

To convert 0.5 we also multiply by 100%
0.5 x 100% = 0.5 x 100 = 50%

Converting from a percentage to a fraction or a decimal is just the reverse:
To convert 50% to a fraction just divide by 100 and then simplify
50% = 50/100 = 5/10 = 1/2

To convert 50% to a decimal just divide by 100 with a calculator (can also be done mentally if you are careful)
50% = 50/100 = 0.5

We also need to be able to recognise common fractions and so be able to quickly convert them:
1/2 = 0.5 = 50%
1/3 = 0.33 = 33.33%
1/4 = 0.25 = 25%
1/5 = 0.2 = 20%
1/10 = 0.1 = 10%


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