What is 0/0? or Zero divided by Zero | Study Vlog #short #Shorts

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What is zero over zero or 0/0 in higher level math? In algebra, we would simply say undefined and this would be correct. However, in higher level mathematics we say it is indeterminate. This is a YouTube short, meant to be shown vertical and less than 60 seconds. Study Vlog.

10/2 = 5

You can check by using inverse operation of division, that is, multiplications. In other words, 2 times 5 is equal to 10.

7/0 is simply left undefined because there is nothing times zero that is 7.

0/0 can be equal to anything because anything times zero is 0.

Chapter 1 - Real Numbers and Their Operations

1.1 Real Numbers and The Number Line
1.2 Adding and Subtracting Integers
1.3 Multiplying and Dividing Integers
1.4 Fractions
1.5 Review of Decimals and Percents
1.6 Exponents and Square Roots
1.7 Order of Operations

#ProfRedden #calculus

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This is a really good explanation! Thank you!

luiscosta

That was cool keep up the good work dude

gavinsampley

HA! I knew my teachers were wrong… one time I confused the whole class saying 0/0 was 7 and then I proved it and they started rethinking their knowledge… however my argument was all real numbers… now sayin 0/0 is undefined is wrong because undefined means no answer when Indeterminate means there are answers but none agreed upon. All real numbers is wrong because if 0/0 = everything at the same time (ARN) then 2=7 which isn’t true… it only equals everything independently.

johnhughes

Imagine that you have zero cookies and zero friends, if you want to split the cookies among each friend, how many cookies would each friend get? See, it makes no sense and cookie Monster is sad because you didn't buy any cookies and you are sad because you don't have any friends.

If you agree
👇

DBG

One workaround to this is to define any such indeterminate forms to equal the nullity, ⊥ . It’s essentially an absorbing element that is more “powerful” than 0 or ∞, so we define results like:

0/0 = ⊥
10/0 = ⊥ etc…

Same goes with indeterminate forms involving infinity. ‘⊥’ has the properties:

x + ⊥ = ⊥
⊥ + ⊥ = ⊥
x ⊥ = ⊥
x / ⊥ = ⊥
⊥ - ⊥ = ⊥ etc… for any x, including x = ⊥

The only exception to our standard maths rules are the properties 0*x = 0 and x / x = 1 for any non-zero number x, and also x - x = 0;

Since ⊥/⊥ = ⊥ and 0*⊥ = ⊥ etc…

So basically rather than just infinity, we create a new concept ‘⊥’ which we can treat like a number.

Again this is only a theoretical work-around to the problem, it is not official.

asparkdeity

Thanks, Prof. I always had to use a calculator to make sure it's zero. Now you showed me the easier route.

NowayJustgoaway-vm

would 0/0 technically be a infinitely small asymptote squished to 1 number making it have different awnsers for all numbers?

drrenwtfrick

My question is
0/0 you say indeterminate
But it could be anything so we should say that 0/0 is infinity ???
EDIT=
If we consider 0/0 is infinite
Then we have to say that 1=2 which is not right so
As per you say 0÷0 is indeterminate

Rebel

Fact :- According To Fellow Of The Royal Society Great Indian Mathematician Srinivasa Ramanujan The Value Of Infinity Is -1/12

Sindh_Maharajkumar

Wait
If,

0 ÷ 0 = any number
=> 0 ÷ 0 = Indeterminate

Any number ÷ 0 = undefined
Then

Any number = undefined × 0
=> Indeterminate = undefined × 0

👁️👄👁️

Dad_Of_Atreus

Human ingenuity....hahaha.v smart thanks v much.

naderhumood

0/0 can have 2 outcomes since numbers depending on where the numbers are, can have completely different answers
P.D. (Positive Division) (Larger number first)
And
N, D. (Negative Division) (0/No Value first)
P.D. 0/0 = 0
N.D. 0/0 = Infinite/Negative Infinite
More Examples of this:
2/0=0
0/2=Math Error (Calculators cannot calculate Negative Divisions)

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