# What property of real numbers is shown below?

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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.

## 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.

## 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 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.

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## 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 –).