Question

which of the following property states that the two integers that are added and multiplied remain as integers the set of integers is closed under addition and multiplication​

Answer 1

The commutative property of multiplication states that when two numbers are being multiplied, their order can be changed without affecting the product. For example, 7 · 12 has the same product as 12 · 7.

Answer 2

The property which states that the two integers that are added and multiplied remain as integers is Closure Property.

Step-by-step explanation:

• We know, Integers are the set of whole numbers i.e., natural numbers with 0 and negative numbers combined together. For example: $1, 0, -1\ etc.$

• Closure Property of Integers states that when two integers $p\ and\ q$ are added, their sum $p+q$ will always be an integer. Also when two integers

Hence, The property which states that the two integers that are added and multiplied remain as integers is Closure Property.