How To Add Fractions With Negative Signs

- amanda lives in fairbanks, alaska. the table below showsthe temperature changes in fairbanks over a two-hour period. so when we went from 3pm to 4pm the temperature increasedby two degrees celsius,

How To Add Fractions With Negative Signs, and then from four to five the temperature decreased by five degrees celsius. amanda notices the temperature at 5pm is negative nine degrees celsius.

what was the temperaturein fairbanks at 3pm? so they're essentiallytelling us the temperature at the end of these changes, and they want us tofigure out the temperature at the beginning of these changes. so let's see if we can do that. let me draw. since, in thermometers we'reused to thinking vertically. so i'll draw a vertical number line here

to think about this a little bit. so here we go. alright, so at 5pm we end up at negative nine degrees celsius, so let's just say thisis zero, negative one, two, three, four, five, six, seven, eight, nine. so we end up at negativenine degrees celsius. this is zero degreescelsius right over here.

so from zero... sorry, from 4pm to 5pmthe temperature dropped by five degrees celsius and that got us to negative nine. so we drop by five toget to negative nine, so we must've startedfive above negative nine. so one, two, three, four, five... right over here. so this is that drop.

this is that five degree drop. like we said, one, two, three, four, five. so that's that five degreedrop right over here. this is a negative five degrees celsius. so at 4pm, right at 4pm, wemust've had a temperature of... well, five above negative nineis going to be negative four. negative four degrees celsius. this is what the temperature was at 4pm. so this is at 4pm.

and then, to figure out 3pm, remember when we go from 3pm to 4pm our temperature increasedtwo degrees celsius. so we increased by twodegrees celsius from that hour to get to negative four degrees celsius. so we increased by two degrees celsius. so if we increase by two degrees celsius to get to negative four, that means at 3pm we must've been two below that.

so this is what we did from three to four. >from three to four we increased by two to get to negative four. so this right over here isthe plus two degrees celsius right over there. so we must've started right here at 3pm. we must've started right there at 3pm. all i did is underline this. if you know we're atnegative nine to end with,

and from four to fivewe dropped negative five to get there, that meansat four we must've been five above negative nine. so we're at negative four, and then from three to four, if we increased two degrees to get there, that means at three we must've been two degrees below negative four. so this right over here isnegative six degrees celsius.

so what was the temperaturein fairbanks at 3pm? it was negative six degrees celsius. and you can verify that. if you start at negative six, you add two, you get to negative four, and then you subtract five,you get to negative nine, which is exactly what we had here.