## Which property of real numbers is shown below 6?

distributive property
The distributive property of real numbers is shown in -6(4x + 5) = -24x – 30.

## Which property of a real numbers is shown below?

Therefore, the associative property of addition is shown below.

## Which of the properties of real numbers is illustrated 6 (- 6 0?

Property (a, b and c are real numbers, variables or algebraic expressions)
5. Associative Property of Multiplication a • (b • c) = (a • b) • c
6. Additive Identity Property a + 0 = a
7. Multiplicative Identity Property a • 1 = a
8. Additive Inverse Property a + (-a) = 0

## What is the property of 0 6?

The identity property of addition states that any number plus zero equals the original number. So, 6 + 0 = 6 shows the identity property of addition….

## Which of the following sets is closed under division?

Answer: Integers, Irrational numbers, and Whole numbers none of these sets are closed under division.

## Which of the following is an example of why irrational numbers are not closed under addition?

The set of irrational numbers does not form a group under addition or multiplication, since the sum or product of two irrational numbers can be a rational number and therefore not part of the set of irrational numbers.

## What property of real numbers does each statement demonstrate a − a 0?

inverse property
The inverse property of addition states that, for every real number a, there is a unique number, called the additive inverse (or opposite), denoted−a, that, when added to the original number, results in the additive identity, 0.

## What is identity property example?

Identity property of addition: The sum of 0 and any number is that number. For example, 0 + 4 = 4 0 + 4 = 4 0+4=40, plus, 4, equals, 4.

## What property does the number sentence 8 0 8 show?

The property that the number sentence, 8 + 0 = 8, shows is the identity property of addition.

## What are the six properties of integers?

What are the Properties of Integers?
• Closure Property.
• Associative Property.
• Commutative Property.
• Distributive Property.
• Identity Property.

## What are the properties of real numbers and examples?

To summarize, these are well-known properties that apply to all real numbers:
• Multiplicative identity.
• Commutative property of multiplication.
• Associative property of multiplication.
• Distributive property of multiplication.

## What property of real numbers implies a 0 A?

The Identity Properties
Additive Identity Property Multiplicative Identity Property
If a is a real number, then a + 0 = a and 0 + a = a If a is a real number, then a ⋅ 1 = a and 1 ⋅ a = a

## Is zero 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 0 a rational number?

Why Is 0 a Rational Number? This rational expression proves that 0 is a rational number because any number can be divided by 0 and equal 0. Fraction r/s shows that when 0 is divided by a whole number, it results in infinity. Infinity is not an integer because it cannot be expressed in fraction form.

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

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.

## Which is the product of any real number and zero?

0
Multiplication by Zero: For any real number a , a⋅0=0 The product of any number and 0 is 0.

## What is identity property?

The identity property of 1 says that any number multiplied by 1 keeps its identity. In other words, any number multiplied by 1 stays the same. The reason the number stays the same is because multiplying by 1 means we have 1 copy of the number. For example, 32×1=32.