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Unit 3

Unit 3. Number Properties. The Distributive Property. If a, b, and c, are real numbers then a(b + c) = ab x ac. Number Properties. Four Properties of Arithmetic : The commutative Property of Addition The Associative Property of Addition The Commutative Property of Multiplication

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Unit 3

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  1. Unit 3 Number Properties

  2. The Distributive Property • If a, b, and c, are real numbers then a(b + c) = ab x ac

  3. Number Properties • Four Properties of Arithmetic: • The commutative Property of Addition • The Associative Property of Addition • The Commutative Property of Multiplication • The Associative Property of Multiplication.

  4. The Commutative Property Of Addition Of Multiplication If a and b are real numbers then; a x b = b x a • If a and b are real numbers, then; a + b = b + a

  5. The Associative Property Of Addition Of Multiplication If a, b, and c are real numbers then; (a x b)x c = a x (b x c) • If a, b, and c are real numbers, then; (a + b) + c = a + (b + c)

  6. The Associative Property Of Addition Of Multiplication If a, b, and c are real numbers then; (a x b)x c = a x (b x c) • If a, b, and c are real numbers, then; (a + b) + c = a + (b + c)

  7. State the number property • 3(4 + 5) = 3 x 4 + 3 x 5 ___________________ • 6(8 + 2) = (8 + 2)6 ___________________ • 3 + (6 + 8) = (6 + 8) + 3 ___________________ • 5(3 x 2) = (5 x 3)2 ___________________ • 3 + (6 + 8) = (3 + 6) + 8 ___________________ • 5(3 x 2) = (3 x 2)5 ___________________ • 4 + (2 + (-1)) = 4 + ((-1) + 2) _______________ • 7(8 – 2) = 7 x 8 – 7 x ___________________

  8. State the number property • 3(4 + 5) = 3 x 4 + 3 x 5 Distributive • 6(8 + 2) = (8 + 2)6 Commutative (mul) • 3 + (6 + 8) = (6 + 8) + 3 Commutative (add) • 5(3 x 2) = (5 x 3)2 Associative (mul) • 3 + (6 + 8) = (3 + 6) + 8 Associative (add) • 5(3 x 2) = (3 x 2)5 Commutative (mul) • 4 + (2 + (-1)) = 4 + ((-1) + 2) Commutative (add) • 7(8 – 2) = 7 x 8 – 7 x Distributive

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