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1) question

find the largest 5 digit number which is exactly divisible by 145
2)question
Prove that
[(-24)×(-13)+(-27=(-24)+[(-13)+(+27)]
3)question
if A=a+b+c
B=a-b+c
C=a+b-c
[Find A+B-C]



1 Answer

2 votes

Explanation:

1)

the largest 5-digit number at all is

99,999

let's do a division by 145 :

99,999/145 = 689.6482759...

aha ! it fits 689 times fully into it. but not 670 times.

so 145×689 is the largest 5-digit number which is exactly divisible by 145.

145×689 = 99,905.

2)

you missed at least some brackets. and it looks like one "+" sign was turned into a "×" sign. and a "-" sign turned into a "+" sign. I can only assume what your original problem is. I hope you did not miss anything else. you really need to check what you write here.

I suspect you meant this :

[(-24) + (-13)] + (-27) = (-24) + [(-13) + (-27)]

[-24 - 13] - 27 = -24 + [-13 - 27]

-37 - 27 = -24 + [-40]

-64 = -24 - 40 = -64

both sides are equal, so it is correct.

3)

A = a + b + c

B = a - b + c

C = a + b - c

A + B - C = (a + b + c) + (a - b + c) - (a + b - c) =

= a + b + c + a - b + c - a - b + c =

= 2a - a + b - 2b + 3c =

= a - b + 3c

remember :

+ + = +

- - = +

+ - = -

- + = -

User Vecchiasignora
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