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Equivalent decimals inquiry

Inquiry Maths

The decimal equivalent of a fraction with an even denominator terminates; 

the decimal equivalent of a fraction with a prime denominator recurs.

Link to the Inquiry Maths website

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Inquiry prompt

Inquiry Maths

The decimal equivalent of a fraction with an even denominator terminates; 

the decimal equivalent of a fraction with a prime denominator recurs.

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Inquiry Maths

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Inquiry prompt

Inquiry Maths

The decimal equivalent of a fraction with an even denominator terminates; 

the decimal equivalent of a fraction with a prime denominator recurs.

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Link to Regulatory cards

Inquiry Maths

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Inquiry Maths

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Exploration

Inquiry Maths

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Inquiry Maths

Fraction

Decimal

Prime factors

Terminate or recur

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Inquiry Maths

Fraction

Decimal

Prime factors

Terminate or recur

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Inquiry Maths

Fraction

Decimal

Prime factors

Terminate or recur

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Terminate

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Recur

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Terminate

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Terminate

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Recur

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Terminate

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Terminate

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Inquiry Maths

Fraction

Decimal

Prime factors

Terminate or recur

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Recur

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Recur

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Recur

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Recur

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Inquiry Maths

Prime denominators

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Generalisation

Inquiry Maths

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  1. Make sure the fraction is in its lowest terms.
  2. Work out the prime factors of the denominator.
  3. If the prime factors are twos or fives or a combination of twos and fives, then the decimal equivalent terminates.
  4. If the prime factors include any other prime number, then the decimal equivalent recurs.

Inquiry Maths

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Inquiry Maths