What is the sum of #1+2+3+4+5+6+7+8+9+1234567890+9876543210+99999999+(0xx9001)-9999999+(-999999999)#?

I want to know

Answer 1

#211111145#

This is a test to see if you spot thing and give you practice of splitting your solution up into smaller parts. '~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Consider #1+2+...+8+9#

Take the outermost values and pair them then work your way in.

#9+1=10# #8+2=10# #7+3=10# #6+4=10# Then there is 5
#color(blue)(=> 4xx10+5=45)# '~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Consider #1234567890+9876543210#
Write as #" "1234567890# #ul(" "9876543210+# #color(white)(.)1 1111111100#

So the questions sum from the left to this point is:

#color(blue)(45+1111111100+...+)# '~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Consider #+99999999 + (0xx9001) - 9999999#
#0xx9001 = 0# so we can totally forget about that as it is part of addition so has no effect.

So now we have

#99999999# #ul(color(white)(9)9999999)" "larr" this is a negative value"=>Subtract# #90000000#

So the questions sum from the left to this point is:

#color(blue)(45+1111111100+90000000+...+)# '~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Consider the last value #+(-999999999)#

Plus and minus together like this make a minus so we have

So the questions sum from the left to this point is:

#45+1111111100+90000000-999999999#
So the last two numbers can be written as #color(white)(9)90000000# #ul(999999999) larr" negative value => subtract"#

There are different ways of dealing with this. This is just one way

#999999999 larr "Negative value"# #ul(color(white)(9)90000000) larr "Positve value but subtract it"# #900000000 larr "Negative answer"#

So the questions sum from the left to this point is:

#color(blue)(45+1111111100-900000000)# '~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Consider the last two from the previous part solution
#+1111111100-900000000#
#1111111100# #ul(color(white)(1)900000000 )larr" negative value so subtract"# #color(white)(0)211111100#
#color(blue)(45+211111100color(green)(= 211111145)#
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Answer 2

The sum of the given numbers is 21111111201.

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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.

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.

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.

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.

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