Properties of Math

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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 an addition problem does not change the sum. For example, (a + b) + c = a + (b + c).

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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, a + b = b + a.

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What is the Identity Property of Addition?

Back

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

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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 by distributing the multiplication to each addend.

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What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way in which numbers are grouped in a multiplication problem does not change the product. For example, (a * b) * c = a * (b * c).

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that changing the order of the numbers in a multiplication problem does not change the product. For example, a * b = b * a.

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What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that when you multiply any number by one, the product is that number. For example, a * 1 = a.

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What is an example of the Distributive Property?

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An example of the Distributive Property is 3(4 + 5) = 3*4 + 3*5, which simplifies to 12 + 15 = 27.

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What is the result of simplifying the expression 2x + 14h - 5h + 4x + 7?

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The result is 6x + 9h + 7.

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What does the expression (a + 31) + b = a + (31 + b) illustrate?

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This illustrates the Associative Property of Addition.