Visualise \(2.665\) on the Number Line Using Successive Magnification
Diagram (Successive Magnification)
Construction Method:
Step 1:
Mark 2 and 3 on the number line.
\[ 2 < 2.665 < 3 \]
Step 2:
Divide the interval [2, 3] into 10 equal parts and locate 2.6.
Step 3:
Zoom into [2.6, 2.7], divide into 10 parts and locate 2.66.
Step 4:
Zoom into [2.66, 2.67], divide into 10 parts and locate 2.665.
Final Result:
The number \(2.665\) is located precisely using successive magnification.
Concept Used:
Successive magnification means zooming step-by-step into smaller intervals to locate decimal numbers accurately.