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"Proof" that 1 = 0.
Postulates:
We know that one third = 1/3 which in decimals is written 0.3333...
("..." will represent recurring decimals)
We also know that three thirds = 3/3 which is a whole, i.e. 1.
Corollary:
So 1 - 3/3 = 0 by definition. This implies that 1 - (3 x 0.3333...) = 0
Tricky:
But multiply 0.3333... by 3 and you get 0.9999... (You can check this by multiplying each decimal by 3. Since none of them will exceed 10 {as 3x3=9}, each can be calculated separately and then strung back together)
Following the reasoning above, 1 - 0.9999... = 0
Which you can rearrange to get 1 = 0.9999...
So subtract 1 from both sides, you get that 0.0000...0001 = 0
Divide both sides by 10 infinitely* repeatedly until all the decimal zeroes are removed and you get 1 = 0.
NOTE: This is a common [[fallacy]] in the transformation between fractions and decimals which often misguides students into making false assumptions (similar to saying that 1 divided by 0 is infinity "because 0 goes into 1 infinite times").
*The fact that we had to use infinity at all to prove this (divide by 10 infinitely) should alert the student that even the most basic presumptions have to be reviewed (see note).
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When a number is raise to zero?
It always equals one.
What does 0 squared equal?
It equals 0. Zero times zero equals zero.
A fraction with a zero in the numerator equals what?
zero.
8 to the zero power equals what?
Anything raised to the power of zero is 1 except 0 itself and so 8^0 = 1
If the discriminant of a quadratic equation equals zero what is true of the equation?
It has one real solution.
Love equal what?
No, but there is a way to prove that zero equals one.
How do you prove one plus one is one?
1 + 1 = 2 Any "proof" you see that claims otherwise is fallacious. Edit: by dividing by zero. Note: one plus one also equals window, zero (when in mod 1), and 11 (1&1)
Binary number of 10 equals?
Decimal 10 (Ten) equals the Binary number 1010 (One Zero One Zero) Binary 10 (One Zero) equals the Decimal number 2 (Two)
What is five one six minus one six equals?
five one six minus one six equals five zero zero
How does a zero exponent equal to zero?
no it equals one no matter the number
What symbol equals zero point zero one meter?
1 cm or one centimeter.
If zero divided by anything equals zero and anything divided by zero equals infinity and anything divided by itself equals one then what is the value of zero divided by zero?
Nothing. 3/4 means three fourths 0/0 is therefore no nothings.
What do a googol equals?
A one followed by one hundred zero's
You how one plus one really equals zero?
One plus one does not equal zero. One plus one equals two. If you have one thing, then bring another thing in, you get more than what you started with, which would be 2. You cannot have less, like zero.
How do you write a writing in the poer of zero?
Any number to the zero power equals one.
What is the rule for a number multiplied by the power of zero?
Anything to the zero power equals one.
When a number is raise to zero?
It always equals one.
