![]() ![]() ![]() The additive inverse is the opposite (negative) of the number.The identity element for addition is 0.Any number added to 0 gives you the original number.Note:Associative does not hold for subtraction. ![]() The grouping has changed (parentheses moved), but the sides are still equal. Associative means that the grouping does not make any difference in the operation's result.Note:Commutative does not hold for subtraction.Commutative means that the order does not make any difference in the operation's result.If you add two odd numbers, the answer is not an odd number (3 + 5 = 8) therefore, the set of odd numbers is not closed under addition (no closure). If you add two even numbers, the answer is still an even number (2 + 4 = 6) therefore, the set of even numbers is closed under addition (has closure). Closure is when all answers fall into the original set.Some mathematical operations have properties that can make them easier to work with and actually can save you time. Properties of Basic Mathematical Operations Quiz: Variables and Algebraic Expressions.Variables Algebraic Expressions and Simple Equations.Quiz: Arithmetic Progressions and Geometric Progressions.Quiz: Calculating Measurements of Basic Figures.Calculating Measurements of Basic Figures.Customary System, Metric System, and Converting Units of Measure Rationals (Signed Numbers Including Fractions).Quiz: Rationals (Signed Numbers Including Fractions).Quiz: Changing Percents, Decimals, and Fractions, and Important Equivalents.Changing Percents, Decimals, and Fractions.Quiz: Changing Fractions to Decimals, Changing Terminating Decimals to Fractions, and Changing Infinite Repeating Decimals to Fractions.Changing Infinite Repeating Decimals to Fractions.Changing Terminating Decimals to Fractions.Quiz: Simplifying Fractions and Complex Fractions.Simplifying Fractions and Complex Fractions.Quiz: Multiplying and Dividing Fractions and Mixed Numbers.Multiplying Fractions and Mixed Numbers.Quiz: Adding and Subtracting Fractions and Mixed Numbers.Quiz: Proper and Improper Fractions, Mixed Numbers, and Renaming Fractions.Quiz: Factors, Primes, Composites, and Factor Trees.Factors, Primes, Composites, and Factor Trees.Quiz: Estimating Sums, Differences, Products, and Quotients.Estimating Sums, Differences, Products, and Quotients.Quiz: Grouping Symbols and Order of Operations.Ways to Show Multiplication and Division.Grouping Symbols and Order of Operations.Quiz: Properties of Basic Mathematical Operations.Properties of Basic Mathematical Operations.Quiz: Ways to Show Multiplication and Division, Multiplying and Dividing by Zero, and Common Math Symbols. ![]()
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