standard_description: Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.
problem_activity: Problem 1
Fill in each blank using a
$${<}$$
or
$${>}$$
inequality symbol
a.
$$5$$
_______
$$8$$
b.
$${11.3}$$
_______
$${11.13}$$
c.
$${\frac{2}{3}}$$
_______
$${\frac{3}{4}}$$
d.
$${-0.6}$$
_______
$${0.3}$$
e.
$$\frac{11}{8}$$
_______
$$-\frac{11}{8}$$
Problem 2
Here are the low temperatures (in Celsius) for one week in Juneau, Alaska:
{"table": [{"_attributes": {"class": ["table", "table-bordered"], "style": "table-layout:fixed; width:100%"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "background-color:#eeeeee; text-align:center"}, "strong": [{"_value": "Monday"}]}, {"_attributes": {"style": "background-color:#eeeeee; text-align:center"}, "strong": [{"_value": "Tuesday"}]}, {"_attributes": {"style": "background-color:#eeeeee; text-align:center"}, "strong": [{"_value": "Wednesday"}]}, {"_attributes": {"style": "background-color:#eeeeee; text-align:center"}, "strong": [{"_value": "Thursday"}]}, {"_attributes": {"style": "background-color:#eeeeee; text-align:center"}, "strong": [{"_value": "Friday"}]}, {"_attributes": {"style": "background-color:#eeeeee; text-align:center"}, "strong": [{"_value": "Saturday"}]}, {"_attributes": {"style": "background-color:#eeeeee; text-align:center"}, "strong": [{"_value": "Sunday"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$5$$"}]}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$-1$$"}]}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$-6$$"}]}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$-2$$"}]}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$3$$"}]}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$7$$"}]}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$0$$"}]}]}]}]}]}
a.   Arrange the temperatures in order from coldest to warmest temperature.
b.   On a winter day, the low temperature in Anchorage was
$$23$$
degrees below
$$0$$
°C, and the low temperature in Minneapolis was
$$14$$
degrees below
$$0$$
°C. Sophia wrote: “Minneapolis was colder because
$$-14 < -23$$
.” Is Sophia's statement correct? Explain your answer.
c.   The lowest temperature ever recorded on Earth was
$$-89$$
°C in Antarctica. The average temperature on Mars is about
$$-55$$
°C. Which is warmer, the coldest temperature on Earth or the average temperature on Mars? Write an inequality to support your answer.
Problem 3
The elevation of New Orleans, Louisiana, is
$$7$$
feet below sea level. The elevation of Coachella, California, is
$$-72$$
feet. Write an inequality to compare the elevations of the two cities.


aligns: no