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Number Properties

Number Properties. Rules of the game 2-7-1. Properties. Properties are the rules of the game. If the rules are changed a different kind of math is played. These properties are for everyday math. Commutative Property. Order doesn’t matter. Commutative Property.

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Number Properties

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  1. Number Properties Rules of the game 2-7-1

  2. Properties • Properties are the rules of the game. • If the rules are changed a different kind of math is played. • These properties are for everyday math.

  3. Commutative Property Order doesn’t matter

  4. Commutative Property • Commutative property of addition. • a + b = b + a • 7 + 8 = 8 + 7 • (-3)+4=4+(-3) • The commutative property says the order doesn’t matter for addition.

  5. Commutative Property • Commutative property of addition. • a + b = b + a • 7 + 8 = 8 + 7 • (-3)+4=4+(-3) • The commutative property says the order doesn’t matter for addition.

  6. Associative Property Grouping Doesn’t Matter

  7. Associative Property • Associative property of addition • (a+b)+c = a+(b+c) • (7+8)+2=7+(8+2) • 15+2 = 7 + 10 • The associative property says the grouping doesn’t matter for addition.

  8. Associative Property • Associative property of multiplication. • (axb)xc=ax(bxc) • (7x8)x2=8x(7x2) • 56x2=8x14 • The associative property says the grouping doesn’t matter for multiplication.

  9. Identity No change

  10. Identity An identity for a particular operation doesn’t change the identity of the number when the operation is done.

  11. Identity • Additive Identity is 0 • a+0=a • 7 + 0 =7 • Zero plus a number is that number.

  12. Identity • Multiplicative Identity is 1 • 1xa=a • 8x1=8 • One times a number is that number.

  13. Inverse Opposite

  14. Inverse • Additive inverse - opposite • Another number that added to the original number is equal to the additive identity. 0 • Multiplicative inverse • Another number that multiplied by the original number is equal to the Multiplicative identity. 1

  15. Distributive Property Connecting Addition to Multiplication

  16. Distributive Property • Distributive property • a(b+c)=ab+ac • example • example • Multiplying a sum by some number is the same as multiplying each term by that same number.

  17. Identify the Properties 3x(4x)=3(4)xx=12x2 commutative and associative properties of multiplication.

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