So the multiplicative inverse of two is one-half, and the multiplicative inverse of 10 is one-tenth.

所以，2 的倒数是 1/2，10 的倒数是 1/10。

If there is, the new number is called the multiplicative inverse of x.

如果有的话，这个新的数字就叫 X 的倒数。

As you might notice, the product of any number and its multiplicative inverse is always one.

你可能会注意到，任何一个数与其倒数相乘结果总是 1。

Based on the definition of a multiplicative inverse, zero times infinity must be equal to one.

基于倒数的定义，0 乘以无穷大一定等于 1。

If we want to divide by zero, we need to find its multiplicative inverse, which should be one over zero.

如果我们想除以 0 的话，我们需要找到它的倒数，那应该是 1/0。

But because anything multiplied by zero is still zero, such a number is impossible, so zero has no multiplicative inverse.

但是因为所有数字乘以 0 结果仍然是 0，那 1/0 这样的数字是不可能的，所以 0 没有倒数。