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3. the temperatures of five different liquids are given. arrange the te…

Question

  1. the temperatures of five different liquids are given. arrange the temperatures in order from highest to lowest. -1.8°c 1.2°c 0.8°c 9°c -4°c
  2. jack walked 1 3/4 miles on saturday and then 7/8 of a mile on sunday. how many total miles did jack walk over the weekend?

Explanation:

Step1: Identify positive and negative numbers

Positive numbers are greater than negative numbers. Among positive numbers, larger - valued positive numbers are greater. Among negative numbers, the number with a smaller absolute - value is greater.

Step2: Compare the given temperatures

The given temperatures are \(9^{\circ}C\), \(1.2^{\circ}C\), \(0.8^{\circ}C\), \(- 4^{\circ}C\), \(-1.8^{\circ}C\).
Positive temperatures: \(9^{\circ}C>1.2^{\circ}C > 0.8^{\circ}C\).
Negative temperatures: \(\vert-1.8\vert = 1.8\) and \(\vert-4\vert = 4\), so \(-1.8^{\circ}C>-4^{\circ}C\).

Step3: Arrange in descending order

Combining positive and negative numbers, the order from highest to lowest is \(9^{\circ}C>1.2^{\circ}C>0.8^{\circ}C > - 1.8^{\circ}C>-4^{\circ}C\)

Answer:

\(9^{\circ}C,1.2^{\circ}C,0.8^{\circ}C,-1.8^{\circ}C,-4^{\circ}C\)