# Identify Property of Real Numbers

The Seven Fundamental Properties of Real Numbers are:

1. Associative Property
2. Commutative Property
3. Distributive Property
4. Identity Property
5. Inverse Property
6. Closure Property
7. Density Property

What property is shown by the following statement?

8x + 0 = 8x

### Comments for Identify Property of Real Numbers

 Feb 10, 2013 Identify Property by: Staff AnswerThis mathematical statement is a demonstration of the identity property of addition.An additive identity is a number that can be added to any number without changing the value of that other number.The additive identity for the set of all real numbers is 0 (zero). The number 0 can be added to any real number without changing its value.Example 1: (positive integers) 15 + 0 = 15Example 2: (negative numbers) -5 + 0 = -5Example 3: (fractions) ¾ + 0 = ¾Example 4: (decimals) 2.2 + 0 = 2.2Example 5: (algebraic notation) x + 0 = xThe Additive Identity of 0 is the key to solving many algebraic problems.For examplex + 15 = 50subtract 15 from each side of the equationx + 15 - 15 = 50 - 15x + 0 = 35The zero on the left side of the equation is the additive identity.Therefore, x + 0 is equivalent to x.x + 0 = xx + 0 = 35x = 35--------------------------------------------------------------------A multiplicative identity is a number that can be multiplied by any number without changing the value of that other number.The multiplicative identity for the set of all real numbers is 1 (one). Any real number can be multiplied by the number 1 without changing its value.Example 1: (positive integers) 15 * 1 = 15Example 2: (negative numbers) -5 * 1 = -5Example 3: (fractions) ¾ * 1 = ¾Example 4: (decimals) 2.2 * 1 = 2.2Example 5: (algebraic notation) x * 1 = x Thanks for writing.Staff www.solving-math-problems.com