Fractions, Decimals and Percents
Are Â½ of 6, 0.5 of 6 and 50% of 6 equal or not?
0.1 is one tenth. This is because the route from 0 to 1 goes
through 0.1, 0.2, 0.3, etc. i.e., 10 steps. Each such step (each
0.1 increment) is therefore 1 tenth (of one).
0.5 is reached after 5 such steps, namely halfway up the 10
steps which led to 1.
This is why .
Therefore, for instance, 0.5 of 6 = Â½ of 6.
Note also:
Â½ of 6 is 3 (usually…)
0.5 of 6 is 0.5 x 6 (‘times’  ’of’
equivalence), and 0.5 x 6 (by long multiplication) is also 3.
Now, 50% ?
It helps if you consider the percentage sign, %, as a
misprint, with the correct version as /00. This is to remind
yourself that it means 'divided by 100' .
It is then obvious that 50% is nothing more than .
50% is best visualised as dividing 50 (cakes) between 100
(children). Each, then gets one half (Â½) (a cake). That is why
50% = 1/2 and 50% of 6 is indeed equal to Â½ of 6.
Note also: 50% of 6 is Doing the multiplication first: , the same as of 6.
Now one yard is 36 inches and so,
25% of one yard = 9 inches
and taking square roots of both sides gives,
5% of one yard = 3 inches.
That’s right isn’t it ? Or would you like it in
metric:
1 metre = 100 cm so that,
of one metre = 25 cm
and taking square roots of both sides gives,
of one metre = 5cm.
What’s wrong ?
