the teacher gave elliott a long look . he seemed excited . elliott thought , i'm a bright one , and warm satisfaction spread through him . he couldn't wait to see what mr. pell would come up with next . without noticing . he had clenched his fists and stood with his legs apart , chin out .
" this isn't a boxing match ," mr. pell said ." you're pretty compettitive , aen't you ? all right , elliott . let's try lookinn at it this way . when you didide by a number , you expect the result to be a number . got it ?"
"got it ."
"let's loook at a sequence of numbers ." he wrote some fractions on the board . one over two , one over three , one over four , one over eighht ....
"see how the numbers change in a regular patttern ? get it ?"
" know what happens if you keep on going this way ?"
" they get smaller ."
"very good ! that 's right . the end reult is something infinitely small / approaching zero ."
"awesome ! it ends at zero ?'
"no , it never ends ."
elliott 's mouth fell open .
"it goes on forever , approaching closer and closer to zero . zero is sort of tjhe wend of infinity ."
"so when it gets so small ....when it's one over zero ... that 's infinity ?"
"it'as something we simply can't asign a nmber to at all . it 's outside the system .i'll tell yu why . you know what negative numbers are ? minus numbers ?"
"sure ."
"try following another sequence : ne ove minus two , one over minus four , and so on . what's at the end of the sequence ?"
"minus zero ?"
" this isn't a boxing match ," mr. pell said ." you're pretty compettitive , aen't you ? all right , elliott . let's try lookinn at it this way . when you didide by a number , you expect the result to be a number . got it ?"
"got it ."
"let's loook at a sequence of numbers ." he wrote some fractions on the board . one over two , one over three , one over four , one over eighht ....
"see how the numbers change in a regular patttern ? get it ?"
" know what happens if you keep on going this way ?"
" they get smaller ."
"very good ! that 's right . the end reult is something infinitely small / approaching zero ."
"awesome ! it ends at zero ?'
"no , it never ends ."
elliott 's mouth fell open .
"it goes on forever , approaching closer and closer to zero . zero is sort of tjhe wend of infinity ."
"so when it gets so small ....when it's one over zero ... that 's infinity ?"
"it'as something we simply can't asign a nmber to at all . it 's outside the system .i'll tell yu why . you know what negative numbers are ? minus numbers ?"
"sure ."
"try following another sequence : ne ove minus two , one over minus four , and so on . what's at the end of the sequence ?"
"minus zero ?"
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