Question

Give an example of:

a) The Associative Property of Addition:

b) The Commutative Property of Addition:

c) The Opposite Sum Property:

Answer 1

Examples provided demonstrate the Associative Property of Addition by grouping numbers, the Commutative Property by changing the order of addition, and the Opposite Sum Property by adding numbers with opposite signs.

Step-by-step explanation:

Here are examples of the mathematical properties you've asked about:

1. The Associative Property of Addition: This property states that the way in which numbers are grouped in an addition problem does not change the sum. For example, (4 + 5) + 6 = 4 + (5 + 6). Both groupings equal 15, showing the associative property.
2. The Commutative Property of Addition: This property indicates that the order of numbers added together does not affect the sum. An example is 2 + 3 = 3 + 2; both expressions equal 5, illustrating the commutative property.
3. The Opposite Sum Property: When two numbers with opposite signs are added together, you subtract the smaller number from the larger number, and the answer has the sign of the larger number. For instance, 6 + (-9) results in -3, as you subtract 6 from 9 and the answer takes the sign of the larger absolute value, which is -9.

The Associative Property of Addition asserts that the grouping of numbers in an addition problem doesn't alter the sum. The Commutative Property of Addition states that the order of added numbers doesn't impact the sum. The Opposite Sum Property defines adding numbers with opposite signs, involving subtracting the smaller from the larger number with the answer taking the sign of the larger absolute value.