Properties of Real Numbers

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that when you add zero to any number, the result is that number. For example, 99 + 0 = 99.

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What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped in addition does not change their sum. For example, (4 + 3) + 1 = 4 + (3 + 1).

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What is the Inverse Property of Addition?

Back

The Inverse Property of Addition states that for every number, there exists another number (its additive inverse) such that their sum is zero. For example, -14 + 14 = 0.

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What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that changing the order of the numbers in an addition problem does not change the sum. For example, 3 + 5 = 5 + 3.

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What is the Reflexive Property?

Back

The Reflexive Property states that any number is equal to itself. For example, a = a.

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What is the Symmetric Property?

Back

The Symmetric Property states that if one number equals another, then the second number equals the first. For example, if a = b, then b = a.

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What is the Transitive Property?

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The Transitive Property states that if one number equals a second number, and the second number equals a third number, then the first number equals the third number. For example, if a = b and b = c, then a = c.

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What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum.

Front

What is the Property of Zero?

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The Property of Zero states that adding zero to any number does not change the value of that number.

Front

Provide an example of the Identity Property of Addition.

Back

An example is: 7 + 0 = 7.