Elly's height is 1.61 m and Adela's height is 1.73 m, measured correct to three significant figures. Find the greatest possible difference in their heights in metres, correct to three significant figures. Answer ... m

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Worked solution

1

1. Find the relevant bounds and subtract to maximise the difference

Since both heights are given correct to three significant figures, they are rounded to the nearest 0.010.01 m.

Elly's least possible height is
1.61−0.005=1.6051.61 - 0.005 = 1.605 m.

Adela's greatest possible height is
1.73+0.005=1.7351.73 + 0.005 = 1.735 m.

Greatest possible difference
=1.735−1.605=0.130 m.= 1.735 - 1.605 = 0.130\text{ m}.

Answer

0.1250.125 m

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