# What property of real numbers justify your equation?

## What property of real numbers justify your equation?

Property (a, b and c are real numbers, variables or algebraic expressions) | |
---|---|

1. | Distributive Property a • (b + c) = a • b + a • c |

2. | Commutative Property of Addition a + b = b + a |

3. | Commutative Property of Multiplication a • b = b • a |

4. | Associative Property of Addition a + (b + c) = (a + b) + c |

### What is density property of real numbers?

The density property tells us that we can always find another real number that lies between any two real numbers. For example, between 5.61 and 5.62, there is 5.611, 5.612, 5.613 and so forth.

#### What does reflexive property look like?

You could look at the reflexive property of equality as when a number looks across an equal sign and sees a mirror image of itself! Reflexive pretty much means something relating to itself.

**What is associative property of real numbers?**

The word “associative” comes from “associate” or “group”; the Associative Property is the rule that refers to grouping. For addition, the rule is “a + (b + c) = (a + b) + c”; in numbers, this means 2 + (3 + 4) = (2 + 3) + 4. For multiplication, the rule is “a(bc) = (ab)c”; in numbers, this means 2(3×4) = (2×3)4.

**What property of real number addition justifies that the two expressions are equivalent?**

This is the Associative Property of Addition. Explain why these expressions are equivalent. This example also deals with addition between all of the terms. Unlike the first example, however, these terms do not remain in the same order.

## What is the property used in the equation?

The properties used to solve an equation are the properties of the relationship of equality, reflexivity, symmetry and transitivity and the properties of operations.

### What is associative property formula?

The formula for the associative property of multiplication is (a × b) × c = a × (b × c). This formula tells us that no matter how the brackets are placed in a multiplication expression, the product of the numbers remains the same.

#### What’s the difference between associative and distributive property?

The Associative Law works when we add or multiply. It does NOT work when we subtract or divide. The Distributive Law (“multiply everything inside parentheses by what is outside it”).

**What is meant by associative property?**

The associative property is a math rule that says that the way in which factors are grouped in a multiplication problem does not change the product.