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## What is the property 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.

## What does a commutative property look like?

The word “commutative” comes from “commute” or “move around”, so the Commutative Property is the one that **refers to moving stuff around**. For addition, the rule is “a + b = b + a”; in numbers, this means 2 + 3 = 3 + 2. For multiplication, the rule is “ab = ba”; in numbers, this means 2×3 = 3×2.

## Is 0 a real number?

Real numbers are, in fact, pretty much any number that you can think of. … 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.

## Is any number an integer?

**All whole numbers are integers** (and all natural numbers are integers), but not all integers are whole numbers or natural numbers. For example, -5 is an integer but not a whole number or a natural number.

## Which answer describe the type of numbers that are dense?

The rational numbers and the irrational numbers together make up the real numbers. **The real numbers** are said to be dense. They include every single number that is on the number line.

## What property is A +(- A )= 0?

The **identity property of addition** states that the sum of a number and zero is the number. If a is a real number, then a+0=a. The inverse property of addition states that the sum of any real number and its additive inverse (opposite) is zero. If a is a real number, then a+(-a)=0.

## What are the subsets of real numbers?

The real numbers can be divided into three subsets: **negative real numbers, zero, and positive real numbers**. Each subset includes fractions, decimals, and irrational numbers according to their algebraic sign (+ or –).