
What is divided by is it no solution?
Answer
459.9k+ views
Hint: We know that the product of two numbers is zero if any of the numbers or both are zero. For any number the product is If we transpose the number ton the other side, we will get
Complete step by step solution:
We are asked to find what divided by
We need to find the value when divides
We know that, in Mathematics, stands for ‘nothing’.
We also know that by division we mean partition. So, when we divide ‘nothing’ by a certain value, we get nothing. This value can be any arbitrary value.
So, when we divide zero by any arbitrary value, the result will be zero.
We can explain this fact Mathematically.
We know that when a number is multiplied with zero, the product will be zero.
Let us take an arbitrary number We know that the product of and zero will give us
Let us see what happens when we transpose from the left-hand side to the right-hand side.
We will get
Since is an arbitrary number, this is true for every number.
That means, when we divide by we will get as the quotient.
That is, when is the dividend, the product will be
Therefore, we will get
And this will give us
We learn that the given statement has a solution.
Hence the solution of divided by is
Note: When the divisor is zero, then the value is undefined. The quotient we obtain when a number is divided by zero is infinity. Therefore, any number divided by infinity will give the quotient zero. In the first case, we say no solution exists.
Complete step by step solution:
We are asked to find what
We need to find the value when
We know that, in Mathematics,
We also know that by division we mean partition. So, when we divide ‘nothing’ by a certain value, we get nothing. This value can be any arbitrary value.
So, when we divide zero by any arbitrary value, the result will be zero.
We can explain this fact Mathematically.
We know that when a number is multiplied with zero, the product will be zero.
Let us take an arbitrary number
Let us see what happens when we transpose
We will get
Since
That means, when we divide
That is, when
Therefore, we will get
And this will give us
We learn that the given statement has a solution.
Hence the solution of
Note: When the divisor is zero, then the value is undefined. The quotient we obtain when a number is divided by zero is infinity. Therefore, any number divided by infinity will give the quotient zero. In the first case, we say no solution exists.
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