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All About The Numbers
All About The Numbers: Zero
Facts About The Number Zero
This is how much there is:
(empty)
This is how it is represented in octal:
00
The one on the left is how many eights there are and the zero on the right
is how many ones there are. To get the decimal representation, just multiply
the digit in the eights place by eight, and add that to the number of ones
in the ones place:
0*8+0=0
Remember, there are no 8's or 9's as digits in an octal, or base8
system.
How to Add with The Number 0
n + 0 = ?
Let's add 0 to a number and see what we get!
0 + 0 = 0
0
+
0
=
0
1 + 0 = 1
+
0
=
2 + 0 = 2
+
0
=
3 + 0 = 3
+
0
=
4 + 0 = 4
+
0
=
5 + 0 = 5
+
0
=
6 + 0 = 6
+
0
=
7 + 0 = 7
+
0
=
8 + 0 = 8
+
0
=
9 + 0 = 9
+
0
=
10 + 0 = 10
+
0
=
How to Add with The Number 0 in Octal
n + 0 = ?
Let's add 0 in Octal to a number and see what we get!
0 + 0 = 0
1 + 0 = 1
2 + 0 = 2
3 + 0 = 3
4 + 0 = 4
5 + 0 = 5
6 + 0 = 6
7 + 0 = 7
10 + 0 = 10
11 + 0 = 11
12 + 0 = 12
How to Subtract with The Number 0
n  0 = ?
Let's subtract 0 from a number and see what we get!
0  0 = 0
0

0
=
0
1  0 = 1

0
=
2  0 = 2

0
=
3  0 = 3

0
=
4  0 = 4

0
=
5  0 = 5

0
=
6  0 = 6

0
=
7  0 = 7

0
=
8  0 = 8

0
=
9  0 = 9

0
=
10  0 = 10

0
=
How to Multiply with The Number 0
n * 0 = ?
Let's multiply 0 to a number and see what we get!
0 * 0 = 0
1 * 0 = 0
2 * 0 = 0
3 * 0 = 0
4 * 0 = 0
5 * 0 = 0
6 * 0 = 0
7 * 0 = 0
8 * 0 = 0
9 * 0 = 0
10 * 0 = 00
x  0  = 
x1  (empty)  =0 
x2  (empty)  =0 
x3  (empty)  =0 
x4  (empty)  =0 
x5  (empty)  =0 
x6  (empty)  =0 
x7  (empty)  =0 
x8  (empty)  =0 
x9  (empty)  =0 
x10  (empty)  =0 
How to Divide with The Number 0
n / 0 = ?
Let's divide 0 from a number and see what we get!
10 / 0 = undefined
9 / 0 = undefined
8 / 0 = undefined
7 / 0 = undefined
6 / 0 = undefined
5 / 0 = undefined
4 / 0 = undefined
3 / 0 = undefined
2 / 0 = undefined
1 / 0 = undefined
0 / 0 = indeterminate
How to Exponent with The Number 0 as a power
n ^ 0 = ?
Let's raise a number to the power of 0 and see what we get!
0 ^ 0 = indeterminate
1 ^ 0 = 1
2 ^ 0 = 1
3 ^ 0 = 1
4 ^ 0 = 1
5 ^ 0 = 1
6 ^ 0 = 1
7 ^ 0 = 1
8 ^ 0 = 1
9 ^ 0 = 1
10 ^ 0 = 1
How to Exponent with The Number 1 as a base
1 ^ n = ?
Let's raise 1 to a power and see what we get!
0 ^ 0 = indeterminate
0 ^ 1 = 0
0 ^ 2 = 0
0 ^ 3 = 0
0 ^ 4 = 0
0 ^ 5 = 0
0 ^ 6 = 0
0 ^ 7 = 0
0 ^ 8 = 0
0 ^ 9 = 0
0 ^ 10 = 0
This is how the number 0 it is represented in binary:
0000
The rightmost digit is how many ones there are, the one just to the left
is how many twos there are, the one just to the left of that is how many
fours there are, or 2^2's there are, and the one on the far left
is how many eights there are, or 2^3's there are.
You multiply each of the digits by the place they're slotted like this:
0*2^3+0*2^2+0*2+0=0
How to Add with The Number 0 in Binary
n + 0 = ?
Let's add 0 in Binary to a number and see what we get!
0 + 0 = 0
1 + 0 = 1
10 + 0 = 10
11 + 0 = 11
100 + 0 = 100
101 + 0 = 101
110 + 0 = 110
111 + 0 = 111
1000 + 0 = 1000
1001 + 0 = 1001
1010 + 0 = 1010
Remember, just like in a computer, there are only zeros and ones, nothing
else.
This is how it is represented in hex:
0
The first ten numbers of base ten is the same as those of base hex, so see the
number ten for how to use it.
How to get the number 0 by adding two digits:
Since the number 0 is the only positive whole number, the only way to get 0 is to add
itself to 0. There are no other pairs of positive whole numbers that add up to 0.
How to get the number 0 by subtracting two digits:
11

22

44

Do you see a pattern developing? If you increase the first part of 11 (1) by
one and you also do the same with the second part (1), you still get 0.
Even if you have gotten up to 2,355,665,4802,355,665,480 it will still
get 0. Go ahead and try it with even higher numbers.
How to get the number 0 by multiplying two digits:
The number 0 is simply zero.
When you multiply anything to it, it results in zero.
How to get the number 0 by dividing two digits:
0/2
You originally have 0 balls, and you split it into 2 piles, you get
0 in each pile.
(empty)
and
(empty)
Now, that is the same as dividing 0 into one pile, as
in 0/1=0, but 0/2=0, so is 0/4=0, even 0/8,192=0. How could this
be? Simple. The dividend on the left and the divisor in the middle are
multiplied by the same factor from the original 0/1 fraction so that the
ratio is always 0:1, or simply 0.
How to get the number 0 by powering two digits:
You can raise zero to any nonzero positive number to get zero.
How to get the number 0 by rooting two digits:
0 SQR 2
(empty)
You can see that if you take 0 of something and arrange it so that
its contents are a perfect square, you will get exactly 0 rows of
0 colums of balls.
You can also imagine that you can get 0 if
you take the cube root of 0. Since this computer cannot display balls
in 3D, you'll have to get that many blocks, and build a base 0 by
0 and stack the blocks 0 high. You'll use exactly 0
blocks to build that perfect cube.