Rational number are written as fractions. With rational fractions it has to be transferred to a decimal, the decimal can be two types: terminating decimals and recurring decimals.

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Terminating decimal (finite number of digits) example - 1/4 is 0.25

Recurring decimal (digit or block of digits that repeat) example 1/3 is 0.333333...

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To find the decimal from the fraction you divide the numerator by the denominator.

For example: 9/16 is 9 divided by 16 is 0.5625 and 7/40 is 7 divided by 40 is 0.175

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Terminating decimals into fractions. You take the numerator as the digits seen, denominator ow many times its been divided then smplify.

Example: 0.23 has 2 decimal places so it has to have 2 zeros so 0.23 is 23/100

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Recurring decimals into fractions. You need to use algebra.

Example (page 15 of yellow book)

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The reciprocal of any number is 1 divided by the number.

Example: The reciprocal of 2 is 1 divided by 2 so 1/2

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Other cards in this set

Card 2

Front

Recurring decimal (digit or block of digits that repeat) example 1/3 is 0.333333...

Back

Terminating decimal (finite number of digits) example - 1/4 is 0.25

Card 3

Front

For example: 9/16 is 9 divided by 16 is 0.5625 and 7/40 is 7 divided by 40 is 0.175

Back

Card 4

Front

Example: 0.23 has 2 decimal places so it has to have 2 zeros so 0.23 is 23/100

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