### GCSE Maths Revision: Converting decimals to percentages

#### 5th April 2017

GCSE Maths – Fractions, Decimals and Percentages

KEY STAGE 4 – GCSE Maths Revision Guide – Converting Decimals to Percentages

Use this revision guide to remember all the key points for converting decimals to percentages and get full marks in your GCSE maths exam.

The Decimal Point

Using a decimal point (.) we can represent parts of a whole (1) as decimals.

Example:

1 = 1 (Whole)

¾ = 0.75 (Three quarters)

½  = 0.50 (Half)

¼ = 0.25 (One quarter)

Percentages

Parts of a whole (100%) can also be represented as a percentage, using the percentage symbol - “%”.

NOTE: Always remember the percentage symbol (%) or it is not a percentage!

Converting a Decimal into a Percentage

All you have to do is:

• Multiply by 100 OR

• Move the ‘decimal point’ TWO numbers to the RIGHT (skip two numbers)

Examples of converting Decimals to Percentages

Multiplying by 100:

• 1 x 100 = 100%

• 0.75 x 100 = 75%

• 0.5 x 100 = 50%

• 0.25 x 100 = 25%

• 0.0 x 100 = 0%

Moving the Decimal Point Two numbers to the Right:

• 1.00 TWO numbers to the RIGHT = 100%

• 0.75 TWO numbers to the RIGHT = 75%

• 0.50 TWO number to the RIGHT = 50%

• 0.25 TWO numbers to the RIGHT = 25%

Converting Percentages into Decimals

All you have to do is the opposite (to/of the above):

• Divide by 100 OR

• Move the ‘decimal point’ TWO numbers to the LEFT (skip two numbers)

Examples of converting Percentages to Decimals

Dividing by 100:

• 100% ÷ 100 = 1

• 75% ÷ 100 = 0.75

• 50% ÷ 100 = 0.50

• 25% ÷ 100 = 0.25

Moving the Decimal Point Two Spaces to the Left:

NOTE: Change the percentage symbol into a Decimal Point first!

Check out our range of songs on GCSE Maths topics. Broken down into smaller chunks, our songs make revising easier and information more memorable.

• 100% TWO numbers to the Left = 1.00

• 75% TWO numbers to the Left = 0.75

• 50% TWO number to the Left = 0.50

• 25% TWO numbers to the Left =0.25

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