What's smaller than the smallest
Susanne: But we learned beforehand that debts are not given in negative numbers! Look, if I have -5 euros in my account, I have a lower balance than if I only have -2 euros in my account. Therefore -5 must be less than -2.
Peter: Okay, in that case you might be right. But what if it is -10 C? Then it is more cold than at -2 C. Then I'm right again.
Susanne: But here, too, it has to be the case that -10 C is a lower temperature than -2 C, right? So -10 should be less than -2 again.
But which of the two is right now? Take a look at the following picture and consider which side is the representation of Peter's opinion and which side is the representation of Susanne's opinion.
Then she says: "If we subtract 3 on both sides, the inequality is still true."
So she writes on the board:
"If we subtract 3 again, this is what comes out."
"So -2 is definitely less than -1."
Marianne is right. The order of the negative numbers is exactly the same as that of the positive (and NOT MIRRORED!), so a number (a) that is further to the left on the number line than another number (b) is smaller (i.e. a <>
Task: Download the following file and print out the document. Do the tasks and stick the exercise sheet in your school exercise book.Inequalities.pdf
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