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Question 3 of 18 in Number 7

Number 7

2 marks · Easy

A calculator shows that . Explain how you know this decimal is recurring and not terminating.

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The digits '24' repeat indefinitely, so the decimal recurs, not terminates.

Also accept: The same group of digits repeats forever.; After the decimal point, 24 keeps repeating.

Common mistakes: It ends after a few decimal places.

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Marking points

M1 · 1 mark · States or indicates that the digits after the decimal point (24) repeat.

A1 · 1 mark · Correctly concludes that this means the decimal is recurring, not terminating.

Worked solution

After the decimal point, the digits '24' repeat over and over: 0.242424... This pattern never stops, so the decimal does not end. It is recurring, not terminating.

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