We locate 6.73 on the number line, by the process of successive magnification.
Step 1 : First we note that \(6.7\bar{3}\) lies between 6 and 7.
Step 2 : Divide the portion between 6 and 7 into 10 equal parts and use a magnifying glass to visualise that \(6.7\bar{3}\) lies between 6.7 and 6.8.
Step 3 : Divide the portion between 6.7 and 6.8 into 10 equal parts and use a magnifying glass to visualise that \(6.7\bar{3}\) lies between 6.73 and 6.74.
Step 4 : Divide the portion between 6.73 and 6.74 into 10 equal parts and use a magnifying glass to visualise that \(6.7\bar{3}\) lies between 6.733 and 6.734.
Step 5 : Divide the portion between 6.733 and 6.734 into 10 equal parts and use a magnifying glass to visualise that \(6.7\bar{3}\) lies between 6.7332 and 6.7334. We note that \(6.7\bar{3}\) is visualised closed to 6.7332 than to 6.7334.
