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factorial - Why does 0! = 1? - Mathematics Stack Exchange

Why does 0! = 1 0! = 1? All I know of factorial is that x! x! is equal to the product of all the numbers that come before it. The product of 0 and anything is 0 0, and seems like it would be

Is $0$ a natural number? - Mathematics Stack Exchange

Is there a consensus in the mathematical community, or some accepted authority, to determine whether zero should be classified as a natural number? It seems as though formerly $0$ was

algebra precalculus - Zero to the zero power – is $0^0=1 ...

As for the simplified versions of the above laws, the same can be said for 00 = 0 0 0 = 0, so this cannot be a justification for defining 00 = 1 0 0 = 1. 00 0 0 is ambiguous in the same way that

I have learned that 1/0 is infinity, why isn't it minus infinity?

92 The other comments are correct: 1 0 1 0 is undefined. Similarly, the limit of 1 x 1 x as x x approaches 0 0 is also undefined. However, if you take the limit of 1 x 1 x as x x approaches

Mathematics Stack Exchange

Qamp;A for people studying math at any level and professionals in related fields

How do I explain 2 to the power of zero equals 1 to a child

My daughter is stuck on the concept that $$2^0 = 1,$$ having the intuitive expectation that it be equal to zero. I have tried explaining it, but I guess not well enough. How would you explain the

What does it mean to have a determinant equal to zero?

.After looking in my book for a couple of hours, I'm still confused about what it means for a (n n) (n n) -matrix A A to have a determinant equal to zero, det(A) = 0 det (A)

Newest Questions - Mathematics Stack Exchange

Mathematics Stack Exchange is a platform for asking and answering questions on mathematics at all levels.

factorial - Why does 0! = 1? - Mathematics Stack Exchange

Why does 0! = 1 0! = 1? All I know of factorial is that x! x! is equal to the product of all the numbers that come before it. The product of 0 and anything is 0 0, and seems like it would be

Is $0$ a natural number? - Mathematics Stack Exchange

Is there a consensus in the mathematical community, or some accepted authority, to determine whether zero should be classified as a natural number? It seems as though formerly $0$ was

algebra precalculus - Zero to the zero power – is $0^0=1 ...

As for the simplified versions of the above laws, the same can be said for 00 = 0 0 0 = 0, so this cannot be a justification for defining 00 = 1 0 0 = 1. 00 0 0 is ambiguous in the same way that

I have learned that 1/0 is infinity, why isn't it minus infinity?

92 The other comments are correct: 1 0 1 0 is undefined. Similarly, the limit of 1 x 1 x as x x approaches 0 0 is also undefined. However, if you take the limit of 1 x 1 x as x x approaches

Mathematics Stack Exchange

Qamp;A for people studying math at any level and professionals in related fields

How do I explain 2 to the power of zero equals 1 to a child

My daughter is stuck on the concept that $$2^0 = 1,$$ having the intuitive expectation that it be equal to zero. I have tried explaining it, but I guess not well enough. How would you explain the

What does it mean to have a determinant equal to zero?

.After looking in my book for a couple of hours, I'm still confused about what it means for a (n n) (n n) -matrix A A to have a determinant equal to zero, det(A) = 0 det (A)

Newest Questions - Mathematics Stack Exchange

Mathematics Stack Exchange is a platform for asking and answering questions on mathematics at all levels.

factorial - Why does 0! = 1? - Mathematics Stack Exchange

Why does 0! = 1 0! = 1? All I know of factorial is that x! x! is equal to the product of all the numbers that come before it. The product of 0 and anything is 0 0, and seems like it would be

Is $0$ a natural number? - Mathematics Stack Exchange

Is there a consensus in the mathematical community, or some accepted authority, to determine whether zero should be classified as a natural number? It seems as though formerly $0$ was

algebra precalculus - Zero to the zero power – is $0^0=1 ...

As for the simplified versions of the above laws, the same can be said for 00 = 0 0 0 = 0, so this cannot be a justification for defining 00 = 1 0 0 = 1. 00 0 0 is ambiguous in the same way that

I have learned that 1/0 is infinity, why isn't it minus infinity?

92 The other comments are correct: 1 0 1 0 is undefined. Similarly, the limit of 1 x 1 x as x x approaches 0 0 is also undefined. However, if you take the limit of 1 x 1 x as x x approaches

Mathematics Stack Exchange

Qamp;A for people studying math at any level and professionals in related fields

How do I explain 2 to the power of zero equals 1 to a child

My daughter is stuck on the concept that $$2^0 = 1,$$ having the intuitive expectation that it be equal to zero. I have tried explaining it, but I guess not well enough. How would you explain the

What does it mean to have a determinant equal to zero?

.After looking in my book for a couple of hours, I'm still confused about what it means for a (n n) (n n) -matrix A A to have a determinant equal to zero, det(A) = 0 det (A)

Newest Questions - Mathematics Stack Exchange

Mathematics Stack Exchange is a platform for asking and answering questions on mathematics at all levels.

factorial - Why does 0! = 1? - Mathematics Stack Exchange

Why does 0! = 1 0! = 1? All I know of factorial is that x! x! is equal to the product of all the numbers that come before it. The product of 0 and anything is 0 0, and seems like it would be

Is $0$ a natural number? - Mathematics Stack Exchange

Is there a consensus in the mathematical community, or some accepted authority, to determine whether zero should be classified as a natural number? It seems as though formerly $0$ was

algebra precalculus - Zero to the zero power – is $0^0=1 ...

As for the simplified versions of the above laws, the same can be said for 00 = 0 0 0 = 0, so this cannot be a justification for defining 00 = 1 0 0 = 1. 00 0 0 is ambiguous in the same way that

I have learned that 1/0 is infinity, why isn't it minus infinity?

92 The other comments are correct: 1 0 1 0 is undefined. Similarly, the limit of 1 x 1 x as x x approaches 0 0 is also undefined. However, if you take the limit of 1 x 1 x as x x approaches

Mathematics Stack Exchange

Qamp;A for people studying math at any level and professionals in related fields

How do I explain 2 to the power of zero equals 1 to a child

My daughter is stuck on the concept that $$2^0 = 1,$$ having the intuitive expectation that it be equal to zero. I have tried explaining it, but I guess not well enough. How would you explain the

What does it mean to have a determinant equal to zero?

.After looking in my book for a couple of hours, I'm still confused about what it means for a (n n) (n n) -matrix A A to have a determinant equal to zero, det(A) = 0 det (A)

Newest Questions - Mathematics Stack Exchange

Mathematics Stack Exchange is a platform for asking and answering questions on mathematics at all levels.