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Question
connect it
use the problem from the previous page to help you understand how to compare positive and negative numbers.
1 look at the two model its. how can you use a number line to help you write an inequality?
2 look at analyze it. how can the inequalities help to determine which of two temperatures is warmer?
3 use the symbol < to rewrite the comparison between -3°f and 2.5°f. then interpret the meaning of the inequality using the words colder than.
4 what are all the possible inequality statements adnan might write? use < and >.
5 when given a pair of numbers in a real - world situation, how can you compare the numbers using < and >? how can an inequality help you interpret the comparison in the real - world situation?
6 reflect think about all the models and strategies you have discussed today. describe how one of them helped you better understand how to compare positive and negative numbers.
Step1: Compare -3.5 and 2.5
On a number line, negative numbers are to the left of zero, and positive numbers are to the right. -3.5 is to the left of 2.5, so -3.5 is less than 2.5.
Step2: Write the inequality
Using the < symbol, we write $-3.5 < 2.5$.
Step3: Interpret the inequality
In terms of temperature, a lower number means a colder temperature. So, -3.5°F is colder than 2.5°F.
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The inequality is $-3.5 < 2.5$, and it means -3.5°F is colder than 2.5°F.