Converting Fractions To Percentages, Converting Decimals To Percentages, Plotting Numbers On A Number Line Worksheet Page 2
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16260
PERCENTAGE (Chapter 14)
OPENING PROBLEMS
Problem 1:
Mahari has a collection of blue and red
beads. She wants to string them together to
form a bracelet. Can you write the number
of red beads compared with the total number
of beads as:
² a fraction
² a decimal
² a percentage?
Problem 2:
² If a store advertises a 25% off sale, what
percentage of the normal cost of an item
would you have to pay?
² Can you write the amount you would have
to pay as a fraction of the usual amount?
A
PERCENTAGES
From the chapter on fractions, you might remember the difficulty of comparing some fractions.
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3
4
8
Fractions with the same denominators like
,
,
and
were easy to compare but fractions
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5
1
3
7
37
with different denominators like
,
,
or
needed to first be converted to fractions
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10
25
20
with the same denominator.
Percentages are special kinds of fractions because their denominator is always 100.
12
, we would write 12%.
The word percent comes
Rather than write the fraction
100
from the Latin meaning
out of every hundred
.
100
100% =
= 1, so 100% represents the whole amount.
100
Percentages are comparisons of a portion with the whole
amount, which we call 100%.
12
For example, 12% =
, and means ‘12 out of every 100’.
100
EXERCISE 14A
In each of the following patterns there are 100 tiles. For each pattern:
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i
write the number of coloured tiles as a fraction of the total, leaving your answer
with the denominator 100
ii
write a percentage which shows the proportion of squares shaded.
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