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2 years ago

EACH QUESTION HAS MULTIPLE ANSWERS

Mathematics

1 answer:

KIM [24]2 years ago

8 0

Answer:

Associative Property Law

Applies to addition and multiplication only.

Grouping of numbers by parentheses in a different way does not affect their sum or product.

Addition: (a + b) + c = a + (b + c) = (a + c) + b

Multiplication: (a × b) × c = a × (b × c) = (a × c) × b

Commutative Property Law

Applies to addition and multiplication only.

Changing the order or position of two numbers does not change the end result.

Addition: a + b = b + a

Multiplication: a × b = b × a

Distributive Property

Distributive multiplication over addition and subtraction:

Addition: a(b + c) = ab + ac

Subtraction: a(b - c) = ab - ac

Identity Property of Addition

Also known as the identity property of zero. Adding 0 to any number does not change the number, i.e. the number keeps its identity.

a + 0 = a = 0 + a

Identity Property of Multiplication

Also known as the identity property of one. Multiplying any number by 1 does not change the number, i.e. the number keeps its identity.

a × 1 = a = 1 × a

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4 + 3(9 + 2)

4 + (3 × 9) + (3 × 2) distributive property

4 + 27 + 6

4 + 6 + 27 commutative property of addition

10 + 27

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(4 × 5) × ¹/₄

4 × (5 × ¹/₄) associative property of multiplication

4 × (¹/₄ × 5) commutative property of multiplication

(4 × ¹/₄) × 5 associative property of multiplication

1 × 5 identity property of multiplication

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(0 + 3) + 17

0 + (3 + 17) associative property of addition

0 + 20 identity property of addition

----------------------------------------------------------------------------------------------

8 + 3(1 - 2)

8 + (3 × 1) - (3 × 2) distributive property

8 + 3 - 6

11 - 6

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EACH QUESTION HAS *MULTIPLE* ANSWERS

EACH QUESTION HAS MULTIPLE ANSWERS