City P has a temperature of −4 °F. City Q has a temperature of −8 °F.
Use the number line shown to answer the questions:
Number line from negative 8 to positive 8 in increments of 1 is shown.
Part A: Write an inequality to compare the temperatures of the two cities. (3 points)
Part B: Explain what the inequality means in relation to the positions of these numbers on the number line. (4 points)
Part C: Use the number line to explain which city is warmer. (3 points)
Answers
Answer:
A.) -4>-8
B.) The inequality means that the number -4 is positioned further to the right on the number line, since it is a bigger number.
C.) City P is warmer. I know that city P is warmer because it has the higher temperature, and the city with the higher temperature will always be hotter.
Step-by-step explanation:
A.) Since -4 is further to the right on the number line, this means that -4 is greater than -8. This can be shown with the inequality -4>-8, which literally means "-4 is greater than -8"
B.) The inequality means that the number -4 is positioned further to the right on the number line, since it is a bigger number.
C.) City P is warmer. I know that city P is warmer because it has the greater temperature, and the city with the higher temperature will always be hotter.
(Ex: Which is hotter, 100°F or 90°F? Since 100 is further to the right on a number line, it will be hotter then 90°F.
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