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Simplify Expressions Using the Distributive Property

## How do you find the properties of real numbers?

Real numbers are closed under addition, subtraction, and multiplication. That means if a and b are real numbers, then a + b is a unique real number, and **a ⋅ b** is a unique real number. For example: 3 and 11 are real numbers.

## How are real numbers used to solve problems?

Real numbers are used **in measurements of continuously varying quantities such as size and time**, in contrast to the natural numbers 1, 2, 3, …, arising from counting. … The real numbers include the positive and negative integers and fractions (or rational numbers) and also the irrational numbers.

## What are the 6 properties of real numbers?

**Suppose a, b, and c represent real numbers.**

- 1) Closure Property of Addition.
- 2) Commutative Property of Addition.
- 3) Associative Property of Addition.
- 4) Additive Identity Property of Addition.
- 5) Additive Inverse Property.
- 6) Closure Property of Multiplication.
- 7) Commutative Property of Multiplication.

## Is 0 a real number?

Real numbers can be positive or negative, and include **the number zero**. They are called real numbers because they are not imaginary, which is a different system of numbers.

## What’s the real number system?

The real numbers is **the set of numbers containing all of the rational numbers and all of the irrational numbers**. The real numbers are “all the numbers” on the number line. There are infinitely many real numbers just as there are infinitely many numbers in each of the other sets of numbers.

## What is the 4 properties of math?

There are four basic properties of numbers: **commutative, associative, distributive, and identity**. You should be familiar with each of these. It is especially important to understand these properties once you reach advanced math such as algebra and calculus.

## What are the 7 properties in math?

Number Properties – Definition with Examples**Commutative Property**. **Associative Property**. **Identity Property**. **Distributive Property**.

## What are not real numbers?

what is NOT a Real Number? **Imaginary Numbers like √−1** (the square root of minus 1) are not Real Numbers. Infinity is not a Real Number.

## What are examples of real numbers?

This indicates that real numbers include **natural numbers, whole numbers, integers, rational numbers, and irrational numbers**. For example, 3, 0, 1.5, 3/2, ⎷5, and so on. Now, which numbers are not real numbers? The numbers that are neither rational nor irrational are not real numbers, like, ⎷-1, 2+3i and -i.