What is 35 divided by -7?

Answer 1

#35-:-7 = -5#

#color(red)("This is much faster if you have memorised that "5xx7=35")#

#color(blue)("Dealing with the negative and positive")#

When multiplying or dividing, if the signs are the same then the answer is positive. If they the signs are not the same then the answer is negative.

We have #(+35) -:(-7)#

The signs are not the same so the answer is negative.

So now we have #" "-(35-:7)#

Write as #" "-(35-:7) ->(-35/7)# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #color(blue)("Shortcut method")#

#color(red)("If you can do it this is the most efficient way."# #color(red)("You jump steps by pulling this from memory")#

Known #5xx7=35#

#" "color(brown)(ul(bar(|color(white)(2/2)35-:(-7)=-5" "|)))#

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ~~~~~~~~~~ #color(purple)("Now we do it the hard way! ")#~~~~~~~~~~~~~~~~~ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Observe that #" "35->3.5=1/2xx7# If the above condition is true then the factors of 35 are 5 and 7

#color(blue)("Dealing with the numbers")#

7 is a factor of both 7 and 35 so divide top and bottom by 7

#-35/7" "=" "- (35-:7)/(7-:7) " "=" "-5/1 = -5#

#" "color(brown)(ul(bar(|color(white)(2/2)35-:(-7)=-5" "|)))#

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #color(blue)("Footnote interesting fact for comparison")#

#3xx5=15" "->" "1/2xx3=1.5 larr" same digits"# #4xx5=20" "->" "1/2xx4=2 larr" same digit but with 0"# #5xx5=25" "->" "1/2xx5=2.5 larr" same digits" # #6xx5=30" "->" "1/2xx6=3 larr" same digit but with 0"#

and so on

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Answer 2

Riley Anderson

#35 divide -7 = -5#

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Answer 3

Jeremiah Andrews

35 divided by -7 equals -5.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.