Properties of whole numbers in addition and multiplication

Properties of whole numbers in addition and multiplication

1. Properties of whole numbers in addition and multiplication

2. A. Closure or Uniqueness Property Each pair of whole numbers has a unique (only and only one) sum or product which is also a whole number. Example: 8 + 12 = 20 7 + 5 = 15 6 x 3 = 18 6 x 7 = 42

3. B. Commutative Property The sum/product of two numbers will not change even if the positions are interchanged. Example: If 13 + 5 = 18 and 5 + 13 = 18, then 13+5 = 5+13. If 6x2 = 12, and 2x6 = 12, then 6 x 2 = 2 x 6

4. C. Associative Property Changing the groupings of the numbers will not affect the sum/product. Example: (4 + 5) + 7 = 4 + (5+7) 2 x (8 x 3) = (2 x 8) x 3

5. D. Identity Property In Addition It states that when a whole number is added to zero, the sum is itself. Example: 6 + 0 = 6 0 + 13 = 13 0 + 7 = 7

6. E . Identity Property In Multiplication It states that when a whole number is multiplied to 1, the product is itself. Example: 13 x 1 = 13 1 x 17 = 17 1 x 3 = 3

7. F. Zero Property In Multiplication It states that when a whole number is multiplied to 0, the product is . Example: 8 x 0 = 0 0 X 16 = 0 0 X 5 = 0

8. G . Distributive Property of Multiplication a x ( b+c ) = ( axb ) + ( axc ) a x (b-c) = ( axb ) – (a-c)