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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

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Feb 10, 2013
Identify Property
by: Staff


Answer




This 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 = 15


Example 2: (negative numbers) -5 + 0 = -5


Example 3: (fractions) ¾ + 0 = ¾


Example 4: (decimals) 2.2 + 0 = 2.2


Example 5: (algebraic notation) x + 0 = x

The Additive Identity of 0 is the key to solving many algebraic problems.

For example

x + 15 = 50

subtract 15 from each side of the equation

x + 15 - 15 = 50 - 15

x + 0 = 35

The zero on the left side of the equation is the additive identity.

Therefore,

x + 0 is equivalent to x.

x + 0 = x

x + 0 = 35

x = 35


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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 = 15


Example 2: (negative numbers) -5 * 1 = -5


Example 3: (fractions) ¾ * 1 = ¾


Example 4: (decimals) 2.2 * 1 = 2.2


Example 5: (algebraic notation) x * 1 = x





Thanks for writing.

Staff
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