Table of Contents

- 1 Why is the answer always zero when you multiply by zero?
- 2 Why is it not possible to divide by 0?
- 3 Is 0 divided by 0 defined?
- 4 What is a reciprocal of 1?
- 5 What is a reciprocal of 5?
- 6 Is there a reciprocal of zero?
- 7 Is it possible to divide 0 by 0?
- 8 Which is the correct answer when multiplying by zero?

## Why is the answer always zero when you multiply by zero?

The multiplication property of zero: Regardless of what the other number is, multiplying by zero always results in an answer of zero. That zero manages to be both a non-negative and non-positive integer yet is neither negative nor positive is just one of the unique properties of the number.

## Why is it not possible to divide by 0?

The reason that the result of a division by zero is undefined is the fact that any attempt at a definition leads to a contradiction. r*0=a. (1) But r*0=0 for all numbers r, and so unless a=0 there is no solution of equation (1).

**When you multiply any number by 0 The product is 0?**

Multiplication by Zero Multiplying by 0 makes the product equal zero. The product of any real number and 0 is 0 .

**What is the multiplication rule for 0?**

The multiplication property states that the product of any number and zero is zero. It doesn’t matter what the number is, when you multiply it to zero, you get zero as the answer. So: 2 x 0 = 0.

### Is 0 divided by 0 defined?

So zero divided by zero is undefined. Just say that it equals “undefined.” In summary with all of this, we can say that zero over 1 equals zero. We can say that zero over zero equals “undefined.” And of course, last but not least, that we’re a lot of times faced with, is 1 divided by zero, which is still undefined.

### What is a reciprocal of 1?

Multiplicative inverse of a number is a number which when multiplied with the original number produces 1. Therefore, the reciprocal of 1 is 1.

**Is Dividing by 0 infinity?**

Well, something divided by 0 is infinity is the only case when we use limit. Infinity is not a number, it’s the length of a number. As we cannot guess the exact number, we consider it as a length of a number or infinity. In normal cases, the value of something divided by 0 has not been set yet, so it’s undefined.

**Is 0 divided by 3 defined?**

0 divided by 3 is 0. In general, to find a ÷ b, we need to find the number of times b fits into a.

#### What is a reciprocal of 5?

1/5

The reciprocal of 5 is 1/5. Every number has a reciprocal except for 0. There is nothing you can multiply by 0 to create a product of 1, so it has no reciprocal. Reciprocals are used when dividing fractions.

#### Is there a reciprocal of zero?

In the real numbers, zero does not have a reciprocal because no real number multiplied by 0 produces 1 (the product of any number with zero is zero). This multiplicative inverse exists if and only if a and n are coprime.

**What is infinity divided 0?**

Working with infinity/0 is a delicate matter. First of all the operation of division of s by t to yield s/t is only valid if s and t are numbers, and t is not zero. Thus infinity/0 is a problem both because infinity is not a number and because division by zero is not allowed.

**Is 0 divided by 5 defined?**

Because what happens is that if we can say that zero, 5, or basically any number, then that means that that “c” is not unique. So, in this scenario the first part doesn’t work. So, that means that this is going to be undefined. So zero divided by zero is undefined.

## Is it possible to divide 0 by 0?

These thoughts can not merge, as 0 is not 1 or undefined, and vice versa. So 0/0 must be undefined. Also, if you think about it more closely, (Sal also says this in the next video.) division must be able to be undone by multiplication. For example, 6 divided by 2 is 3, and it can be undone by multiplying 2 by 3 to get 6.

## Which is the correct answer when multiplying by zero?

When we multiply by zero, the answer is… zero. Example: 12 × 0 = 0 Also when the zero is in the front of the multiplication: Example: 0 × 5 = 0

**Is there an answer to the question what’s 1 divided by 0?**

As much as we would like to have an answer for “what’s 1 divided by 0?” it’s sadly impossible to have an answer. The reason, in short, is that whatever we may answer, we will then have to agree that that answer times 0 equals to 1, and that cannot be true, because anything times 0 is 0.

**Why is the division of 0 by 0 undefined?**

Oops, that also works. and so does 0/0 = 2 and 0/0 = 6 and 0/0 = any real number. This is where it breaks down. Because there are so many (in fact, an infinite number) of ways that this division could be converted into a valid multiplication, we can conclude that this division isn’t valid or indeterminate, to use the correct terminology).