Question

Identify the property used in each step. 12.2 + 18.6 + –4.3 + (–18.6) 12.2 + –4.3 + 18.6 + (–18.6) 12.2 + –4.3 + [18.6 + (–18.6)] 12.2 + –4.3 + (0) 12.2 + –4.3 7.9

Answer 1

Commutative Property

Associative property

Additive inverse

Identity property

Explanation:

Answer 2

Commutative Property

Associative property

Additive inverse

Identity property

Explanation:

In a commutative property multiplication and addition which posses commutative property takes place without considering the order of arrangement of data

12.2 + 18.6 + –4.3 + (–18.6)

12.2 + –4.3 + 18.6 + (–18.6)

The second step results into the presence of a commutative property.

The next step 12.2 + –4.3 + [18.6 + (–18.6)] is an associative property because here, re-grouping of numbers which gives the same result takes place

[18.6 + (–18.6)] is an additive inverse since the result is zero. Additive inverse occurs when the addition of a number to another number results into zero

12.2 + –4.3 + (0) is an Identity property

Identity property occurs when the addition of any number with zero eventually resulted into that number.