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Properties of Numbers

Properties of Numbers. Additive Identity. Adding “0” to a number gives you the same initial number. Example 5 + 0 = 5 0 + 99 = 99. Commutative Property of Addition. a + b = b + a Switching the numbers around will not change the answer!. Let’s Explore the Commutative Property.

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Properties of Numbers

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  1. Properties of Numbers

  2. Additive Identity • Adding “0” to a number gives you the same initial number. Example 5 + 0 = 5 0 + 99 = 99

  3. Commutative Property of Addition a + b = b + a • Switching the numbers around will not change the answer!

  4. Let’s Explore the Commutative Property • Each person will receive two sets of cubes. • We will make number sentences using our cubes and explore the commutative property of addition.

  5. Question • Would there be a commutative property of subtraction?

  6. Associative Property of Addition (a + b) + c = a + (b + c) • The way we group numbers does not change the sum! • The order stays the same…just move the parenthesis!

  7. Question • Would there be an associative property of subtraction?

  8. Zero Property of Multiplication a x 0 = 0 Any number multiplied by “0” will result in “0!”

  9. Multiplicative Identity a x 1 = a *Any number you replace “a” with will give you the same number!

  10. Commutative Property of Multiplication a x b = b x a 3 x 5 = 5 x 3 Do you think division would have a commutative property???

  11. Associative Property of Multiplication (a x b) x c = a x (b x c) (2 x 3) x 4 = 2 x (3 x 4)

  12. Quiz on Properties a + b = b + a (a + b) + c = a + (b + c) a + 0 = a a x 0 = 0 a x 1 = a a x b = b x a (a x b) x c = a x (b x c)

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