6-0+1 = 6(-0+1) or (6-0)+1?

the correct way to read arithmetic is a + b + c + ..=n

each letter stands for a plus or minus number ( +1) , (-3) etc, 0 is both, or neither, plus or minus.

the problem doing simple arithmetic is because we use the sign "+" , " - " , " +1" , " -1" and "0" to mean different things with the same symbol

1 is a number, a whole number and a positive number but ( 1*) is an operator, that is an instruction. it means keep what follows exactly the same 1(a) = a.

"-" minus, is an instruction, and also a symbol that makes the number that follows negative instead of positive
(-1*) "multiply by minus one" is an operator that really means change the sign of what ever follows

"+" is an operator that means combine what follows with what came before
to add to the confusion putting numbers next to each other can mean "multiply" so can " * "

1(0) might mean 1 times zero;, change 1 to zero;, or keep the zero the same without changing it.

" 10" might mean ten, or two in binary, or it might mean one of the things we call ten, and (plus) none of the things we call single digits


3 + 2 is different from 2 + 3 even thought the answer is the same.
"-" is an operator or instruction meaning "start with the first and remove the second"
2-3 is NOT = to 3-2
"(..)" is itself one single number made up of what is inside

in your example in words: start with a positive 6, next add a negative zero ( unfortunately there is no such thing) to that answer , then add a positive one. the unique answer is positive 7.

subtract can mean two things,. Minus sign is an operation. first it means start with the first and remove the second. next it could mean "first change what follow in sign and then only "ADD" what then follows after the change is done, (which is then either a plus or minus number,)

to change the sign of a number the command (operation) is "multiply by minus 1", but that is often just written as 5- 2 when it means start with plus five, change the sign of the plus 2, and then add the negative 2

if I write 5 - (-2) , I mean first change the minus 2 to plus two. then ADD new (plus 2) so the final answer is plus 7

you need to define a negative number such as "-n" as -n is a number (different from n) that has the property that n + (-n) = 0

all numbers have their negatives. the negative of a negative is a positive

(*-1) also means reverse the direction of all numbers that are represented by arrows , reflect the number line around the point called zero

also *0 means change what ever follows to 0 or change what ever comes before to 0
multiply by 1 means keep the adjacent number the same
multiply by -1 means change the sign of what follows from plus to minus or from minus to plus

Notice in all this we have gone beyond grade school arithmetic into the mathematics of number theory

math gets more and more complicated and the notation becomes more and more confusing since it can have more and more meanings

before about 1100 ad Europe had no idea that zero , 0 was a number!
before about 1700s they did not understand that negative numbers were numbers, or that numbers have direction : example draw "3" as ooo ;but 3 is also ---> and minus 3 is <--- as line length. 0 cannot be drawn in any way
your are doing real math and asking very important Q

your first example is correct if and only if you write 6 + (-1*)( 0 + 1). note the "(..) (...) "
means (..) times (...)

e-m my icon. ( I have F-B but do NOT understand it well or use it much)

math goes on and on the notation has to be used very very carefully

d=0.2 because 0.2 + 0.7 =0.9

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RE:
6-0+1 = 6(-0+1) or (6-0)+1?
When given this equation: 6-0+1 would it be reduced this way:

6-0+1
6-(0+1)
6-1
5

or this way

6-0+1
(6-0)+1
6+1
7

I&#39;m leaning towards the second one, but how can you prove which way it should be done?

PS, this isn&#39;t homework, it&#39;s actually a debate I&#39;m having on...

7 is the correct answer. The way to prove it is to substitute any number for X, and solve the equation. If your math is right, the variable will equal the number you originally substituted.
So 6-0+1=7
Then 6-x+1=7 or x-0+1=7 or 6-0+x=7
Using the first example:
6-x+1=7
6-x=6 (subtracted 1 from both sides)
-x=0 (subtracted 6 from both sides)
x=0 (multiplied both sides by -1)
0=0 (the original number we substituted with X)

Checking the incorrect answer the same way:
6-0+1=5
6-x+1=5
6-x=4
-x=-2
x=2
2 =/=0

Hmmm...
Asked by da page admin 'Just fo fun' on fb... I hav olrdy answrd there..:p ;)
7 iz da crckt answr

Multiplication/Division first, then Addition/Subtraction. Honestly I have no idea how can you get confused because "both equations" have the same answer. 6-(0+1), minus plus an addition still makes a plus. It's still 7. Use a calculator if you don't believe me.