      Math Dictionary Definitions for Integers    Home Definitions for 2-D Shapes/Geometry Definitions for Angles Definitions for Circles Definitions for Fractions/Decimals Definitions for Integers Definitions for Units of Measurement  Adding integers: When adding integers, negatives and positives can be switched to make questions simpler.For example: 3+(-2) = 3–2 = 1. Before switching negatives with positives, always make sure the negative number is second. For example: (-7)+6 = 6+(-7) = 6-7 = (-1).

Subtracting negatives: When subtracting integers, two negatives always make a positive when you are subtracting. For example: 5-(-6) = 5+6 = 11. But when both integers are negative, only the second integer should become a positive. For example: (-5)-(-4)= (-5)+4= (-1). The two last negatives make them positives.

Multiplying integers: When multiplying integers, if the integers are both different (one is negative and one is positive) then the product is negative. And if they are both positive or negative then the product becomes positive.

Dividing integers: This is the exact same thing as multiplying integers, if the integers are both different (one is negative and one is positive) then the product is negative. And again if they are both positive or negative then the product becomes positive.

Integers as Exponents: When multiplying a positive integer by a negative exponent, first make the number into a fraction. E.g. 4^(-2) =  4/1^(-2). Now multiply as if the integer were positive. E.g. 4/1^(-2) = 4/1^2 = 16/1. To finish, invert the fraction. E.g. 16/1 = 1/16.

When multiplying negative numbers by positive exponents, multiply as if the integer was positive. If the exponent is even, the product remains positive. If the exponent is odd, the product becomes negative.                                             For example: (-3)^4=81 (-3)^(-4)=(-81)        THE FUTURE OF MATH DICTIONARYS......TODAY!  