Table of Contents
- 1 Why the answer is always 1 when you divide a number by itself?
- 2 Is a number divided by 0 undefined or infinity?
- 3 When any number is divided by 1 the quotient is?
- 4 What is the difference between a number divided by zero and zero divided by a number?
- 5 What is the number 7 divided by 0?
- 6 What does it mean when a number is equal to itself?
Why the answer is always 1 when you divide a number by itself?
(Multiplication is an inverse operation of division.) Any number, except zero, divided by itself is 1. Any number divided by 1 is that number. Zero divided by any other number is zero.
Is a number divided by 0 undefined or infinity?
A number divided by zero is infinity because division by zero is undefined, and infinity does not really exist. And in terms of multiplication, since anything times 0 equals 0, you are really stuck because no matter what real amount you use the only product you will ever get is 0.
What can be divided by 1?
Any integer is divisible by 1. 2 is divisible by 1. The last digit is even (0, 2, 4, 6, or 8).
Is 1 divided by something inverse?
For the multiplicative inverse of a real number, divide 1 by the number. For example, the reciprocal of 5 is one fifth (1/5 or 0.2), and the reciprocal of 0.25 is 1 divided by 0.25, or 4.
When any number is divided by 1 the quotient is?
number itself
It means when any number is divided by \[1\], the quotient is a number itself.
What is the difference between a number divided by zero and zero divided by a number?
A positive or negative number when divided by zero is a fraction with the zero as denominator. Zero divided by a negative or positive number is either zero or is expressed as a fraction with zero as numerator and the finite quantity as denominator. Zero divided by zero is zero.
What is something divided by 0 equal to?
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. When we use limit, we always think that x tends to something, not x equals to something.
What is 0/0 equal to?
One can argue that 0/0 is 0, because 0 divided by anything is 0. Another one can argue that 0/0 is 1, because anything divided by itself is 1. And that’s exactly the problem! Whatever we say 0/0 equals to, we contradict one crucial property of numbers or another.
What is the number 7 divided by 0?
There’s no good answer here, no good definition. And because of that, any non-zero number, divided by zero, is left just “undefined.” 7 divided by 0. 8 divided by 0. Negative 1 divided by 0. We say all of these things are just “undefined.”
What does it mean when a number is equal to itself?
There is a solution similar to an earlier one. But wait a minute, if one is equal to that then that means. Any number when divided by one equal to themselves. This is why when you divide a number by itself, it equals to one, because a fraction is a number and they have a HFoO.