Representating Real Numbers on the Number Line

To represent the real numbers on the number line we use the process of successive magnification in which we visualize the numbers through a magnifying glass on the number line.

Mark  4.\overline{26} on the number line up to 4 decimal places.

Step 1: The number lies between 4 and 5, so we divide it into 10 equal parts. Now for the first decimal place, we will mark the number between 4.2 and 4.3.

Step 2: Now we will divide it into 10 equal parts again. The second decimal place will be between 4.26 and 4.27.

Step 3: Now we will again divide it into 10 equal parts. The third decimal place will be between 4.262 and 4.263.

Step 4: By doing the same process again we will mark the point at 4.2626.

Scroll to Top