Properties of Real Numbers Review

Master properties of real numbers! Practice commutative, associative, distributive & more.

Match the description to a property. Click on the circles to make a match. The sum of any number and zero is the original number. For example, a + 0 = a Identity Property of Addition The sum of two numbers times a third number is equal to the sum of each addend times the third number. For example, a x (b + c) = a x b + a x c. Distributive Property The product of any number and one is the number. For example, a x 1 = a Identity Property of Multiplication When two numbers are multiplied together, the product is the same regardless of the order of the multiplicands. For example, a x b = b x a Commutative Property of Multiplication When three or more numbers are mutiplied, the product is the same regardless of the grouping of the multiplicands. For example, (a x b) x c = a x (b x c) Associative Property of Multiplication When two numbers are added, the sum is the same regardless of the order of the addends. For example, a + b = b + a Commutative Property of Addition Match the description to a property. Click on the circles to make a match. Every number has an opposite which, when added to the first number, gives a sum of 0. For example, a + -a = 0 Additive inverse of a Number When three of more numbers are added, the sum is the same regardless of the grouping of the numbers. For example. (a + b) + c = a + (b + c) Associative Property of Addition When a number is multiplied by its reciprocal, the product is 1. For example, a x 1 = 1 Multiplicative Inverse of a Number Any number raised to the power zero is equal to one. For example, a^0 = 1 Zero Property of Exponents. Given any two numbers, there is another number between them. For example, 0.126 is between 0.12 and 0.13 Density Property