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Upper and Lower Bounds 2 - Calculations www.waldomaths.com Copyright © Waldomaths.com 2010, all rights reserved Two ropes, A and B, have lengths: A = 36m to the nearest metre B = 23m to the nearest metre. 35.5 A 36.5 22.5 B 23.5 Addition 1 What are the upper and lower bounds for A + B? 35.5 A 36.5 22.5 B 23.5 35.5 22.5 A B 36.5 23.5 58 A B 60 Subtraction 2 What are the upper and lower bounds for A - B? 35.5 A 36.5 22.5 B 23.5 35.5 23.5 A B 36.5 22.5 12 A B 14 Multiplication Area = wh = ? h = 6.4cm (nearest mm) w = 11.7cm (nearest mm) What are the upper and lower bounds of the area of the rectangle? 11.65 w 11.75 6.35 h 6.45 11.65 6.35 wh 11.75 6.45 73.9775 wh 75.7875 74.00 wh 75.79 Division What are the upper and lower bounds of the angle x? h = 4cm (nearest cm) x w = 7cm (nearest cm) 3.5 h 4.5 h tan x w 6.5 w 7.5 3.5 7.5 tan x 4.5 6.5 0.4666... tan x 0.6923... 25.01689... x 34.69515... 25.0 x 34.7 Summary LB A A UB A LB B B UB B LB A +LB B A B UB A +UB B LB A - UB B A B UB A - LB B LB A LB B A B UB A UB B LB A UB B A B UB A LB B A Waldomaths clip Copyright © Waldomaths.com 2010, all rights reserved this, along with other videos and more than 100 applets, all on mathematical themes, can be found on the free website www.waldomaths.com visit Waldomaths today