Properties of whole numbers in addition and multiplication
Download as PPTX, PDF15 likes11,381 views
This document discusses properties of whole numbers in addition and multiplication. It covers the closure or uniqueness property, commutative property, associative property, identity properties in addition and multiplication, zero property in multiplication, and distributive property of multiplication. For example, the closure property states that the sum or product of two whole numbers is also a whole number. The commutative property means the order of numbers does not change the sum or product.
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 0. 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)