will the opposite of a positive number always, sometimes,or never be a positive number? explain your reasoning.
Depends on what you mean by opposite, opposite according multiplication or addition?. If opposite multiplication you have to take "-1" power of a number like 5^-1 . If opposite of addition you must multiply a number by -1 so like : 5 * -1 = -5. And a positive number's opposite addition would never be positive. (Sorry for bad english, not familiar with english math terms)