Question

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

Answer 1

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

Answer 2

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.