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On the number line, is Desmond correct? Explain why or why not.
Mathematics
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Step-by-step solution
4 stepsDetermine the value represented by the dot on the number line.
The number line between 0 and 1 is divided into 6 equal segments. The dot is located on the 4th mark from 0.
Therefore, the dot represents the fraction .Evaluate Desmond's first claim
represents the dot.
To compare with , we can simplify :Since , does not represent the dot.
Evaluate Desmond's second claim
represents the dot.
Comparing with , we see that they are not equal.
Since , does not represent the dot.Conclude whether Desmond is correct.
Desmond is incorrect. The dot on the number line represents . Neither (which simplifies to ) nor is equivalent to .
Desmond is incorrect.
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