Commutative Property of Addition

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Pre-Algebra › Commutative Property of Addition

Questions 1 - 5

1

Which of the following choices best represent the commutative property of addition?

Explanation

Write the rule for the commutative property of addition, letting and be any number.

Changing the order of these two numbers will not affect the final answer.

The best choice is:

2

Identify the property being applied.

Communitive Property of Addition

Additive Property of Addition

Associative Property of Addition

Order of Operations

Associative Inverse Property

Explanation

Correct Answer: Communitive Property of Addition

This property states that any set of terms can be added together in any order to achieve the same solution.

3

Which of the following statements demonstrates the commutative property of addition?

$\frac{3}{4} + \frac{7}{8} = \frac{7}{8} + \frac{3}{4}$

$\frac{3}{4} +\left ( \frac{7}{8} + \frac{1}{6} \right )= \left (\frac{3}{4} + \frac{7}{8} \right ) + \frac{1}{6}$

$\frac{7}{8} + \left (- \frac{7}{8} \right ) = 0$

$\frac{3}{4} +0 = \frac{3}{4}$

None of the examples in the other responses demonstrates the commutative property of addition.

Explanation

The commutative property of addition states that two numbers can be added in either order to obtain the same sum. Of the given responses, only

$\frac{3}{4} + \frac{7}{8} = \frac{7}{8} + \frac{3}{4}$

demonstrates this property, so it is the correct choice.

4

Which of the following best represents the commutative property of addition?

$5\times 2+3 = 3+2\times 5$

Explanation

The property is defined as:

Switching the order of the numbers and adding the numbers will yield the same result.

The only answer is:

5

What property can be applied to the following expression?

$2 + \sqrt{x} = \sqrt{x} + 2$

Commutative of Addition

Associative of Addition

Additive Inverse

Commutative of Multiplication

Additive Identity

Explanation

The rule for Commutative Property of Addition is

Expression given in the question is: $2 + \sqrt{x} = \sqrt{x} + 2$

Hence the property is Commutative of Addition.

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