Choose the most appropriate symbol from the list shown to make a correct statement. < = > ≈

  1. (i)

    Answer 0.5 ___ 5/95/9

  2. (ii)

    The distance between two drones is 12.5 metres, correct to the nearest 10 centimetres. What is the least possible distance between them?

    Answer ___ m

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Worked solution

9(i)

1. Compare $0.5$ with $\frac{5}{9}$ and choose the correct inequality symbol.

0.5=12=4.590.5=\frac{1}{2}=\frac{4.5}{9}

Since 4.59<59\frac{4.5}{9}<\frac{5}{9},

0.5<590.5<\frac{5}{9}

Answer

<<

9(ii)

1. Find the lower bound of a distance rounded to the nearest 10 cm.

Nearest 1010 cm =0.1= 0.1 m, so half of this is 0.050.05 m.

Least possible distance
=12.5−0.05=12.45=12.5-0.05=12.45

Answer

12.4512.45 m

AI analysis — may contain mistakes.

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