Create your own examples for: Commutative property (one for addition, one for multiplication) Associative property (one for addition, one for multiplication) Distributive property (one example) Solve each expression. Explain in 2-3 sentences how the property works and why it helps learners understand number operations.
Answer (1)
Here are examples and explanations for each property:
Commutative Property
Addition: 3 + 5 = 5 + 3 = 8
Multiplication: 4 × 7 = 7 × 4 = 28
The commutative property shows that the order in which you add or multiply numbers doesn't change the result. This helps learners understand that rearranging numbers in addition or multiplication doesn't affect the outcome.
Associative Property
Addition: ( 2 + 3 ) + 4 = 2 + ( 3 + 4 ) = 9
Multiplication: ( 1 × 2 ) × 3 = 1 × ( 2 × 3 ) = 6
The associative property indicates that grouping of numbers does not affect the result in addition or multiplication. This makes calculations easier by allowing the regrouping of numbers.
Distributive Property
An example is: 3 × ( 4 + 2 ) = 3 × 4 + 3 × 2 = 12 + 6 = 18
The distributive property shows how multiplication can be distributed over addition or subtraction inside parentheses. It is useful for simplifying expressions and solving equations by breaking down complex expressions into simpler parts.
