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# Ordering negative numbers

CCSS.Math:

## Video transcript

I've got five numbers here and the goal is to order them from least from least to greatest and it might be obvious to you that all five of these numbers are negative numbers so let's just think about which of these is the greatest number and you might be tempted to say oh well you know 40s would if these were all positive 40 would be the greatest so you might be tempted to say negative 40 is the greatest but you have to realize what the negative is telling you and to think about that think about if these were your dollar amounts in your bank account would you rather have negative 40 dollars in your bank account or negative seven dollars in your bank account negative 40 means that you owe the bank 40 dollars so it's 4 T less than having nothing negative 7 would mean that you own the bank only 7 dollars so it's actually the case that negative 40 is less than negative 7 and out of all of all of these numbers it is the least of all of them so negative 40 is the very least that you could view that's the least amount of money that you would want out of these comparisons in your bank account or the smallest amount of money you owe the bank \$40 not only do you have nothing you owe the bank \$40 then the next smallest number would be negative 30 it would be negative 30 and then the next smallest after that would be negative 25 negative 25 and then the next smallest after that would be negative 10 negative 10 and then finally the greatest of all of these numbers the greatest and I will do it in pink the greatest of all of these numbers is negative 7 and if it's still not obvious to you could also think of them in temperature and temperature terms which of these is the coldest temperature whether you're talking about Celsius or Fahrenheit negative 40 would be the coldest temperature negative 7 would be the warmest temperature there would be the most heat in the air at negative 7 another way to think about it is we could draw a number line so let's draw a number line right over here if this is a 0 and you know we could put maybe positive 7 up here positive 7 isn't one of these numbers but then we can plot all the other numbers so this right here might be negative 7 if that's negative 7 then maybe this right over here would be negative 10 notice we go further and further to the left of zero and then we go a little bit further to the left we get negative 25 a little bit further to the left than that is negative 30 negative 30 and then you go even further to the left you go even further the left and you get to negative 40 so look at if you think of it this way the least of these numbers is the one that's furthest to the left of the on the number line and the greatest of the what is the one that's furthest to the right