what number can you multiply by 8 or divide by 9 and get the same answer?
What about zero.
To find a number that can be multiplied by 8 or divided by 9 to get the same answer, we can set up an equation. Let's say the number we are looking for is represented by "x".
According to the question, if we multiply x by 8, we should get the same result as dividing x by 9. Mathematically, we can write this as:
8x = x/9
To solve for x, we will multiply both sides of the equation by 9 to eliminate the fraction:
9 * (8x) = 9 * (x/9)
72x = x
Now, we can subtract x from both sides of the equation:
72x - x = 0
71x = 0
Dividing both sides by 71, we find:
x = 0
Therefore, the number that can be multiplied by 8 or divided by 9 to get the same answer is 0.
Note: In the case of zero, any number multiplied by zero is always 0, and any nonzero number divided by 0 is undefined. However, in this context, if the notion of division by zero is excluded, then zero satisfies the criteria stated in the question.