Percentage (Math 4)

Percentage (Math 4)

(pages 111-120)

Understanding Percentage

Percent

Tom has 100 apples. He puts 10 apples in each bowl.

Since 20 out of apples are red, we can say that 20% of the apples are red.

Percent (%)

% stands for percent and it means 'out of 100'.

So, 20% means 20 out of 100.

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What does % mean?

Part of a whole

Look at the square. It is divided into 100 equal parts.

13 out of 100 parts of the square are shaded. So, 13/100 of the square is shaded.

We can also say that 13% of the square/whole is shaded.

In the square shown, __ out of 100 parts are shaded.

So, __% of the square or the whole is shaded.

In the square shown, __ out of 100 parts are shaded.

So, __% of the square or the whole is shaded.

(page 112)

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Express '48 out of 100' as percentage?

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Express '97out of 100' as percentage?

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What percentage of each square is shaded?

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What percentage of each square is shaded?

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There where 100 balloons at a fun fair. If 52 of them where green, what percentage of the balloons at the fun fair were not green?

Multiple Choice

Can we say that 5% of this square is shaded?

• Yes

• No

Percentages, fractions and decimals

Converting fractions into percentages

Convert 58/100 into a percentage.

Convert 3/10 into percentage.

Convert 1/2 into a percentage.

We can convert a fraction into a percentage by:

• converting the fraction into an equivalent fraction with a denominator of 100.

• multiplying the fraction by 100%

(page 114)

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Convert 21/100 as a percentage.

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Convert 9/10 as a percentage.

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Convert 2/2 as a percentage.

Converting decimals into percentages

Convert 0.99 into a percentage.

Let us now convert 0.7 into a percentage.

We can convert a decimal into a percentage by:

• converting the decimal into a fraction with a denominator of 100.

• multiplying the decimal by 100%

(page 115)

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Convert 0.51 as a percentage

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Convert 0.6 as a percentage

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Convert 0.82 as a percentage

Converting percentages into fractions

Convert 32% into a fraction in its simplest form.

We can convert a percentage into a fraction by

first writing the percentage as a fraction with a denominator of 100 and then reducing it into its simplest form.

Converting percentages into decimals

Convert 87% into a decimal.

We can convert a percentage into a decimal by

first converting the percentage into a fraction with a denominator of 100 and then expressing this fraction as a decimal.

Can you convert 20% into a fraction and a decimal?

Arrange 0.69, 13/100, 24% and 1/2 in decreasing order.

(page 117)

Multiple Choice

Convert 62% into a fraction in its simplest form.

• 31/50

• 31/100

• 62/100

• 62/50

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Convert 62% into a decimal.

Multiple Choice

Arrange 0.1, 3/10, 0.22, 1/20 and 15% in increasing order.

• 1/20, 0.1, 15%, 0.22, 3/10

• 0.1, 3/10, 0.22, 1/20, 15%

• 3/10, 0.22, 15%, 0.1, 1/20,

• 15%, 1/20, 0.22, 0.1, 3/10

Percentage of shapes and whole numbers

Look at the figure. It is divided into 10 equal parts. What percentage of the figure is shaded?

There are 20 teddy bears on a shelf at a toy store. If Min bought 40% of the teddy bears, how many teddy bears did Min buy?

A bakery makes 3200 buns each day. 26% of the buns are plain buns. 3/10 of the buns are cinnamon buns and the rest are cheese buns.

How many cheese buns does the bakery make each day?

Tom has $650. He spent 43% of his money on a guitar. How much money did he have left?

(page 120)

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Convert 0.2 into a fraction.

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Convert 0.2 into a percentage.

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Convert 95% into a decimal.

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Convert 95% into a fraction in its simplest form.

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Convert 4/5 into a decimal.

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Convert 4/5 into a percentage.

Multiple Choice

Which has a greater value?

• 37%

• 0.3

Multiple Choice

Which has a greater value?

• 1/2

• 62%

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What percentage of the figure is shaded?

For #3 a.)

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What percentage of the figure is shaded?

For #3 b.)

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Find the value of 46% of 1400km.

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Find the value of 74% of 200g.

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There are 1100 animals on a farm. 75% of them are sheep and the rest are goats. How many goats are there on the farm?

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Suresh had 400ml of lemonade. He drank 27% of it. How much lemonade did he have left?