Consider the rational number 57. Use a carefully labelled number line to answer the following.
a. (i) State between which two consecutive integers 57 lies.
b. (ii) Draw a portion of the number line long enough to show the integers identified in part (i). Divide the relevant unit interval into five equal parts and mark the position of 57.
c. (iii) Enlarge the neighbourhood of 57 by successive magnification to show divisions of one-tenth of a unit and indicate 57 clearly in this zoomed view.
d. (iv) Write the decimal form of 57 and verify that the point you have plotted corresponds to this value.