Yes. In general, you can use positive versus negative numbers whenever you have two opposites. Other examples include having a net profit on a business transaction, versus having a net loss; or altitude above (or below) sea level,
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1. Temperature below zero 2. Earning money is positive, owing it is negative 3. Fractions can be represented as negative exponents. 4. To take dollars off a price, i.e. a discount. 5. When talking about how much a price has gone up or gone down. We use negatives for down 6. Gaining weight is positive, loosing it is negative. 7. Profit is positive, loss of income is negative. 8. Amount of refund when you return something. 9. The height of a mountain is positive, the height of a valley is negative. 10. Coupons can be used for negative number. A 5 dollar off coupon if the price plus negative five dollars.
A negative number is the opposite of a positive number. If a positive number measures the money you have, then a negative number measures the money you owe. If you multiply two negative numbers together, you are getting the opposite of an opposite. One negative negates the other, leaving you with a positive.
A negative number is an opposite or reversal of a positive number. For example, if a million dollars is a lot of money to have, then it is also true that a million dollars is a lot of money to owe. If you reverse something twice, you return to the original state. So a negative times a negative (or a negative divided by a negative) is a positive. The opposite of the opposite is the original.
A directed number is a number with a sign (direction): Positive and negative. The direction (or sign) of the number adds meaning to what is happening, depending on what the number is describing. For example, in financial situations or bookkeeping, positive money would be income (receiving money) while negative is money going out (expenses, you spent money on something). You want the net of all money flows to be greater than zero (positive, which means that means that you will have more money than what you started with). If the net money flow is negative, then you spent more than you earned and your bank account will be decreasing.
It is true that all negative numbers are less than zero. Think of a number line, zero is to the right of each negative number. Think real world, if you owed $500 to the bank would you have more money or less money than someone who owed $0?