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Q: In what year were negative integers finally accepted?
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Where do you find integers in your every day life?

dates consisting of 3 integers: day, month, year. your age


Integers you use in everyday life?

I presume you're talking in particular about places where we use numbers that may be either positive or negative, and it's really helpful to be able to treat them as the same kind of number, instead of needing a separate rule for each combination of negative and positive numbers. Some examples aren't really integers but positive or negative real numbers. How about temperatures? Conversion between Fahrenheit and Celsius on a sub-freezing day is a good exercise in using negative numbers. Elevations go negative in places like Death Valley and the Dead Sea. Comparing the base-to-peak heights of Mount Everest and Mauna Loa is an exercise in subtracting negative numbers. Latitude and longitude are easier to work with if you take east/north as positive and west/south as negative. The most obviously useful calculation here is in working with time zones - you'll find charts with time zones labeled EST = -5, Eastern Europe = +2, etc. Years are a peculiar case. AD and BC were invented around AD 525, before negative numbers (or zero) were really understood, so there was no year zero. The year after 1 BC was AD 1. If it had been done right, we would have been able to compute the years between 43 BC and 33 AD as 33 - (-43) = 76. But because dates aren't integers, you have to say 33 + 43 - 1 = 75. In other words, when the calendar was devised, people just accepted the need for special cases, but with the invention of integers, we found a better way. By the way, the federal government does not assume that taxpayers understand integers, so the 104 form uses the special-case approach: "If line 64 is LESS than line 59, subtract line 64 from line 59 and write it in line 65. If line 64 is GREATER than line 59, subtract line 59 from line 64 and write it in line 66." (That's the idea anyway, I got my form yesterday but I don't have it in front of me.) I can't think of any everyday cases where we multiply negatives by negatives. But when your students learn about quadratic equations, they will be benefiting again from the no-special-cases property of integers. Early developers of algebra had to present solutions for 6 kinds of quadratic equations: Money can also be used as an integer because when you think about it as its in piggy bank going in and out of it, it makes you think about it.


How do you subtract the year 1846 from the year 100 bc?

It's just like negative numbers. That's 100 going the other way. The difference between them is 1946 years.


What do you do if you have a late project and your teacher sucks?

Your negative attitude shows why your project was late and why your teacher is not accepting your excuses. My bet is that you have not been working all year and deserve the grade you have.


How many jobs use negative numbers?

Business and finance: Examples are profit (positive) or loss(negative). Net Cash flow (amount of money coming in less amount going out) can be positive or negative. This is not the same as profit/loss. For example, you buy a piece of equipment for your business and finance it. Your payments on the loan affect cash flow, but the interest on the loan and the depreciation of the equipment affect profit/loss. In your personal finance, you can have a net negative cash flow. If you have some savings, and say one year you are laid off for a while and have to draw from savings. Or say you are saving up to buy a car. While you are saving, your net cash flow is positive, then when you buy the car, your cash flow could be negative, for that year. In investing, many investments (mutual funds in particular) will express a Rate of return as a percentage. This number could be either positive (the investment increased in value), or negative (the investment decreased in value).

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Where do you find integers in your every day life?

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