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Mathematics 8 Online
OpenStudy (anonymous):

Which phrase best describes the location of 40/9 on a number line? A. at 4 1/2 B. Closer to 4 than to 5 C. closer to five than to 4 D. at 5 5/9

OpenStudy (anonymous):

i know it is not A or D

jimthompson5910 (jim_thompson5910):

Are you able to convert 40/9 to a mixed number?

OpenStudy (anonymous):

yes?

jimthompson5910 (jim_thompson5910):

what do you get when you do so

OpenStudy (anonymous):

umm 4 4/9

jimthompson5910 (jim_thompson5910):

so are we closer to 4? or to 5?

OpenStudy (anonymous):

4

jimthompson5910 (jim_thompson5910):

why 4

OpenStudy (anonymous):

because it is only 4 units away whereas to get to 5 it is 5 units away

jimthompson5910 (jim_thompson5910):

good, and notice how 4.5 is the midpoint (9/2 = 4.5) so if we had 5/9 or 6/9, then we would be closer to 5 because 5 and 6 are greater than 4.5

OpenStudy (anonymous):

oh ok i get it now thanks so the answer is B

jimthompson5910 (jim_thompson5910):

correct

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