Addition: Same sign- add the numbers keep the same sign. Different sign- subtract the numbers and keep the sign of the largest #. Subtraction: Switch to addition and change 2nd # to its oppiste. Then same rules to addition apply here. Multiplication: Same sign- multiply, answers will always positve. Different sign- multiply, answers will always be negative. Division: Same sign- divide, answers will always be positive. Different sign- divide, answers will always be negative. Hope this helps!
Working with integers in algebra is not different from working with integers in arithmetic (see Batmanfan's answer). You would be well-advised to pay attention to more things about integers:
- what the factors are
- which ones are prime
- what the square is (it is a good idea to memorize squares up to 202 = 400, at least)
- approximate values for square roots of numbers 2, 3, 5 (at least)
- what the inverse is (for numbers 1-12, at least; 1/7=.142857142857....)
- how to represent "any even integer" (2n, where n=any integer)
- how to represent "any odd integer" (2n+1, where n=any integer).
As with most things, you will learn these as you need them.
If you have more questions about algebra, feel free to ask: Blurters are ready to help. Please don't just make a list of problems and ask us to do your homework for you.
- what the factors are
- which ones are prime
- what the square is (it is a good idea to memorize squares up to 202 = 400, at least)
- approximate values for square roots of numbers 2, 3, 5 (at least)
- what the inverse is (for numbers 1-12, at least; 1/7=.142857142857....)
- how to represent "any even integer" (2n, where n=any integer)
- how to represent "any odd integer" (2n+1, where n=any integer).
As with most things, you will learn these as you need them.
If you have more questions about algebra, feel free to ask: Blurters are ready to help. Please don't just make a list of problems and ask us to do your homework for you.