- Divide by 100 (move digits two places to the right)
- 6% as a decimal is 6 ÷ 100 = 0.06
- 40% as a decimal is 40 ÷ 100 = 0.4
- 350% as a decimal is 350 ÷ 100 = 3.5
- 0.2% as a decimal is 0.2 ÷ 100 = 0.002

- Multiply by 100 (move digits two places to the left and add a % sign)
- 0.35 as a percentage is 0.35 × 100 = 35%
- 1.32 as a percentage is 1.32 × 100 = 132%
- 0.004 as a percentage is 0.004 × 100 = 0.4%

- If it has one decimal place, write the digits over 10
- 0.3 is
- 1.1 is
- If it has two decimal places, write the digits over 100
- 0.07 is
- 0.13 is
- 30.01 is
- If it has
*n*decimal places, write the digits over 10^{n} - 0.513 is
- 0.0007 is
- Learn simple recurring decimals as fractions
- 0.33333… = is and 0.66666… = is
- Whole numbers can be written as fractions (by writing them over 1)
- 5 is

- Write the percentage over 100
- 37% is

- Fractions written over powers of 10 are quicker
- which is 0.6
- which is 0.35
- which is 0.002

- Change fractions into decimals (see above), then multiply by 100
- which is 0.8 as a decimal, which is 0.8 × 100 = 80%

- A calculator can be used to check conversions between fractions and decimals (even if the question says to show working without a calculator)

- A
**rational**number is any number that can be written as an integer (whole number) divided by another integer- A number written as
in its simplest form, where
*p*and*q*are integers is rational

- A number written as
in its simplest form, where
- When you write a
**rational number**as a decimal, you either get a decimal that stops (e.g. ¼ = 0.25), called a ”**terminating**” decimal, or one that repeats with a pattern (e.g. ⅓ = 0.333333…), called a ”**recurring**” decimal - The recurring part can be written with a dot (or dots on the first and last recurring digit)

Write out the first few decimal places to show the recurring pattern and then:

- Write the recurring decimal
**f = …**(some similar methods use*x*= …) -
**Multiply both sides by 10****repeatedly**until two lines have the same recurring decimal part (in order) -
**Subtract**those two lines -
**DIVIDE both sides to get f**= … (and cancel if necessary to get fraction in lowest terms)

Write as a fraction in its lowest terms,

means

Use a variable to represent this number.

Multiply both sides by 100 to get another number with the same recurring decimal part.

Subtract the two equations to cancel out the recurring decimal parts.

Divide both sides by 99

Type the fraction in your calculator and change to a decimal to check it is correct.

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