Topic 7 Percentages With Answer Key - Math Quest 7 Page 16
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40number and algebra
2
Write the percentage as a fraction, change of
5
18
250
=
×
to × and write the total as a fraction.
100
1
2
3
Cancel and simplify as appropriate.
9
18
5
=
×
1
1
2
Multiply the numerators and then multiply the
4
=
45
1
denominators.
= 45
Simplify by dividing the numerator by the
5
denominator.
Answer the question by writing a sentence.
45 of the 250 students were
6
in Year 11.
Finding percentages of an amount using decimals
• To fi nd the percentage of an amount using decimals, convert the percentage to a decimal
and multiply by the amount.
• Remember: When you are multiplying decimal numbers, the total number of decimal
places in the question gives the number of decimal places in the answer.
WOrKed eXamPle 12
WOrKed eXamPle 12
WOrKed eXamPle 12
Evaluate each of the following by converting the percentage to a decimal.
20% of 50
34% of 15
4.3% of 12
a
b
c
THInK
WrITe
Write the question.
20% of 50
a
1
a
2
Write the percentage as a number
20
=
× 50
100
out of 100 and change of to ×.
= 0.20 × 50
3
Write the fraction as a decimal.
= 10.00
Multiply the numbers, inserting the
4
= 10
decimal point in the answer.
Note: There are 2 decimal places in 0.20,
so there will be 2 decimal places in the
answer.
Write the question.
34% of 15
b
1
b
Write the percentage as a number
2
34
=
× 15
100
out of 100 and change of to ×.
= 0.34 × 15
Write the fraction as a decimal.
3
Multiply the numbers, ignoring the decimal
4
1
2
15
point.
× 34
60
4
50
1
5 10
Topic 7 • Percentages
259
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