Mathematics

Mathematics

Problem

Represent the number 454\sqrt{\dfrac{45}{4}} on a number line. (i) Explain how you would first mark the rational number 454\dfrac{45}{4} on the line, showing the scaling you have chosen. (ii) Give the complete geometric construction for locating 454\sqrt{\dfrac{45}{4}} and label the required point PP. (iii) Using a ruler, write the decimal value of the coordinate of PP correct to two decimal places.

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