Number 7
3 marks · NormalHere are two numbers written as decimals: 0.6 and 0.\overline{6}. Are these two numbers the same? Explain your answer clearly.
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No, 0.6 is a terminating decimal equal to 3/5, while 0.\overline{6} is a recurring decimal equal to 2/3. They are not the same.
Common mistakes: Yes, both are equal; They are nearly the same
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Marking points
B1 · 1 mark · Recognises that they are not the same.
M1 · 1 mark · 0.6 is terminating (3/5), 0.\overline{6} is recurring (2/3).
A1 · 1 mark · Provides correct fractions for each decimal.
Worked solution
0.6 is a terminating decimal and equals .
0.\overline{6} is a recurring decimal and equals .
They are not equal because .