You use positive numbers all the time, like in a store. But negative numbers are used when you're in debt. The more money you owe, the more you're in debt, the lower the numbers go. Also in games where you can have points deducted, sometimes you may end up with -5 points.
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No.
Real numbers are all positive numbers except zero.
Any positive number can be written as a quotient of two positive numbers or a quotient of two negative numbers. Any real number can be written as the quotient of two real numbers.
No, the product of two negative numbers is always a positive.
Positive numbers are greater than zero and negative numbers are less than zero. They are both collectively referred to as real numbers.