General

What is the opposite of multiplying by zero?

What is the opposite of multiplying by 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).

What is the answer when 0 is divided by 0?

undefined
Answer: 0 divided by 0 is undefined. Thus, using both the rules given above, it is impossible to come to a conclusion when 0 is divided by 0. Hence, we give the solution as undefined.

What is the division rule for 0?

0 Divided by a Number 0a=0 Dividing 0 by any number gives us a zero. Zero will never change when multiplying or dividing any number by it. Finally, probably the most important rule is: a0 is undefined You cannot divide a number by zero!

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When 0 is divided by any number other than 0 The quotient is?

The answer is 0. When 0 is divided by any no. , the result is always 0.

What is division inverse?

What is the Inverse of Division? The inverse of division is multiplication. If you divide by a given number and then multiply by the same number, you will arrive at the same number you started with. Multiplication has the opposite effect to division.

Is division by zero undefined in math?

Division by zero is undefined in mathematics, so a more interesting and profound discussion could probably be: why is division by zero undefined?$\\endgroup$– DonAntonioJan 15 ’13 at 4:08 $\\begingroup$@DonAntonio Yes, sorry I do not necessarily mean prove.

What does it mean if a number is neutral with multiplication?

It means there can’t be another number that happens to be neutral with respect to addition and multiplication. If an element has that property, it must be 0 or 1 respectively. Turns out that is a consequence of commutativity. Let’s assume some number E is neutral with regards to addition. Turns out if an element is neutral, it’s got to be 0.

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What does it mean to divide by a number?

As far as we’re concerned dividing by a number means multiplying by the multiplicative inverse of that number. Every number except zero is guaranteed to have an inverse, so we’re good. A9 tells us that multiplication distributes over addition. The product of a sum is the sum of the products.