Question 1. Visualise 3.765 on the number line, using successive magnification.
Solution. The number lies between 3 and 4. Dividing that interval into 10 equal parts, 3.765 lies between 3.7 and 3.8. Dividing that interval into 10 equal parts, 3.765 lies between 3.76 and 3.77. Dividing further into 10 equal parts locates 3.765 precisely between 3.764 and 3.766, using magnification at each stage.Ans.
Question 2. Visualise 4.26 on the number line, up to 4 decimal places.
Solution. 4.26 = 4.2626 (to 4 places). The number lies between 4 and 5; successive magnification (dividing each interval into 10 equal parts) narrows the location step by step: between 4.2–4.3, then 4.26–4.27, then 4.262–4.263, and finally locates 4.2626.