Properties of Algebra

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What property is used in the equation (7 + 6) + 5 = 7 + (6 + 5)?

Back

Associative Property: This property states that the way in which numbers are grouped in addition or multiplication does not change their sum or product.

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Which property is shown by (7 • 9) + 12 = 12 + (7 • 9)?

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Commutative Property: This property states that the order in which two numbers are added or multiplied does not change their sum or product.

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What is the missing number in the equation (14 • k) • 21 = 14 • (5 • 21)?

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5: This equation demonstrates the Associative Property of multiplication, allowing us to rearrange the grouping of numbers.

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What property is used in the equation 0.506 • 0 = 0?

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Multiplication Property of Zero: This property states that any number multiplied by zero equals zero.

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What is the missing number in the equation 46 ÷ r = 23?

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2: This equation can be solved by using the concept of division and understanding that 46 divided by 2 equals 23.

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What is the Commutative Property of Addition?

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The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, 3 + 5 = 5 + 3.

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What is the Associative Property of Multiplication?

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The Associative Property of Multiplication states that the way in which numbers are grouped does not change their product. For example, (2 • 3) • 4 = 2 • (3 • 4).

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What is the Identity Property of Addition?

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The Identity Property of Addition states that adding zero to any number does not change the number. For example, 7 + 0 = 7.

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What is the Identity Property of Multiplication?

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The Identity Property of Multiplication states that multiplying any number by one does not change the number. For example, 9 • 1 = 9.

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What is the Inverse Operation of Addition?

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The Inverse Operation of Addition is Subtraction. For example, if you add 5 and then subtract 5, you return to the original number.