Question

to convert a percent to a decimal, divide by 100.
(62\\% = 62 \div 100 = 0.62)

1. convert each percent to a decimal.

a) (65\\%)
b) (13\\%)
c) (90\\%)

1. complete the table to practise converting among percents, decimals, and fractions.

\

$$\begin{tabular}{|l|c|c|c|} \\hline & percent & decimal & fraction \\\\ \\hline a) & (70\\%) & & \\(\\frac{70}{100}\\) \\\\ \\hline b) & (25\\%) & & \\\\ \\hline c) & & 0.10 & \\\\ \\hline d) & & & \\(\\frac{38}{100}\\) \\\\ \\hline \\end{tabular}$$

percent of a number
to find (30\\%) of 150, you need to calculate:
(30\\%) of (150 = 0.30 \times 150 = 45)

tech tip: percent on a calculator
there are different ways to work with percent on a calculator.
question: find (15\\%) of 30.
answer (this is what you should get.): 4.5
try this on your calculator:

• if you have a percent button \\(\\%\\), type: c 30 \\(\times\\) 15 \\(\\%\\)
• if you do not have a percent button, type: c 30 \\(\times\\) 0.15 =

write the steps that work for your calculator.
to find (15\\%) of 30 on my calculator, i type:

1. calculate the following.

a) (45\\%) of 90
b) (5\\%) of 65
c) (80\\%) of 40.45

Explanation:

⚡ Using what you learned: converting between fractions, decimals, percents · solving percent problems

Step 1: Convert percents to decimals (Question 4)

To convert a percent to a decimal, divide by \(100\) (or move the decimal point two places to the left):

• a) \(65\% = \frac{65}{100} = 0.65\)
• b) \(13\% = \frac{13}{100} = 0.13\)
• c) \(90\% = \frac{90}{100} = 0.90 = 0.9\)

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Step 2: Complete the conversion table (Question 5)

Convert each given value to fill in the missing columns:

• Row a) Given: \(70\%\)
• Decimal: \(\frac{70}{100} = 0.70\) (or \(0.7\))
• Fraction: \(\frac{70}{100}\) (already filled)

• Row b) Given: \(25\%\)
• Decimal: \(\frac{25}{100} = 0.25\)
• Fraction: \(\frac{25}{100}\) (or simplified to \(\frac{1}{4}\))

• Row c) Given Decimal: \(0.10\)
• Percent: \(0.10 \times 100 = 10\%\)
• Fraction: \(\frac{10}{100}\) (or simplified to \(\frac{1}{10}\))

• Row d) Given Fraction: \(\frac{38}{100}\)
• Percent: \(38\%\)
• Decimal: \(0.38\)

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Step 3: Calculate percents of numbers (Question 6)

Convert the percent to a decimal and multiply by the number:

• a) \(45\%\) of \(90\)

$$ 0.45 \times 90 = 40.5 $$

• b) \(5\%\) of \(65\)

$$ 0.05 \times 65 = 3.25 $$

• c) \(80\%\) of \(40.45\)

$$ 0.80 \times 40.45 = 32.36 $$

Answer:

4. Convert each percent to a decimal:

• a) \(0.65\)
• b) \(0.13\)
• c) \(0.9\)

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5. Completed Table:

	Percent	Decimal	Fraction
b)	\(25\%\)	\(0.25\)	\(\frac{25}{100}\)
c)	\(10\%\)	\(0.10\)	\(\frac{10}{100}\)
d)	\(38\%\)	\(0.38\)	\(\frac{38}{100}\)

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6. Calculate the following:

• a) \(40.5\)
• b) \(3.25\)
• c) \(32.36\)