224k views
3 votes
Which property is illustrated by the following statement?

3 + x = x + 3

[] Associative Property of Addition
[] Commutative Property of Multiplication
[] Inverse Property of Addition
[] Commutative Property of Addition

2 Answers

5 votes

Remark

The process shown is addition. Any mention of multiplication is incorrect, making B wrong immediately.

The associative property of addition requires 3 numbers. It declares that the order of what to add does not make a difference. It is written as a + (b + c) = (a + b) + c. You get the same answer both ways. There are not 3 numbers in the given statement so A is wrong.

The inverse property of addition says that a and - a added = 0. This is not what is happening. C is wrong.

the only thing left is D which says that the way the order is written is not important.

Answer D

User Thatzprem
by
8.8k points
4 votes

Answer:

Associative Property of Addition.

Explanation:

Given : 3 + x = x + 3.

To find: Which property is illustrated by the following statement.

Solution : We have given

3 + x = x + 3.

Associative Property of Addition : The sum of numbers remains the same regardless of how the numbers are grouped.

Example : a + b = b + a

Example : 2 + 3 = 3 + 2 .

Hence 3 + x = 3 + x illustrated by the Associative Property of Addition.

Therefore, Associative Property of Addition.

User Akshay Apte
by
8.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.