NCERT Class 8 Maths Chapter 2 Power Play Solutions
NCERT Class 8 Maths Chapter 2 Power Play Solutions 2.1 Experiencing the Power Play … Q. Say you can fold a sheet of paper as many times as you wish. What would its thickness be after 30 folds? Make a guess. Let us find out how thick a sheet of paper will be after 46 folds. Assume that the thickness of the sheet is 0.001 cm. Answer: Initial thickness of paper = 0.001 cm Each fold doubles the thickness After n folds, thickness = T = 0.001 × 2 n cm (A) Thickness after 30 folds T = 0.001 × 2 30 Now calculate: 2 10 = 1024 ≈ 10 3 2 20 = ( 2 10 )² ≈ ( 10 3 )² = 10 6 2 30 = ( 2 10 )³ ≈ ( 10 3 )³ = 10 9 Exact: 2 30 = 1,073,741,824 T = 0.001 × 1,073, 741, 824 = 1,073,741.824cm Convert : 1m = 100cm 1,073,741.824 ÷ 100 = 10,737.418m 10,737.418 ÷ 1000 = 10.737km After 30 folds, thickness ≈ 10.7 km (about the height at which planes fly). (B) Thickness after 46 folds T = 0.001 × 2 46 Now calculate: 2 46 = 70,368,744,177,66...