using the properties of operations\nidentify the property used in each step.\n12.2 + 18.6 + -4.3 +…

using the properties of operations\nidentify the property used in each step.\n12.2 + 18.6 + -4.3 + (-18.6)\n12.2 + -4.3 + 18.6 + (-18.6)\n12.2 + -4.3 + 18.6 + (-18.6)\n12.2 + -4.3 + (0)\n12.2 + -4.3\n7.9

using the properties of operations\nidentify the property used in each step.\n12.2 + 18.6 + -4.3 + (-18.6)\n12.2 + -4.3 + 18.6 + (-18.6)\n12.2 + -4.3 + 18.6 + (-18.6)\n12.2 + -4.3 + (0)\n12.2 + -4.3\n7.9

Answer

Explanation:

Step1: Rearrange terms

The property used is the Commutative Property of Addition (a + b=b + a). In the step from 12.2 + 18.6 + - 4.3+( - 18.6) to 12.2 + - 4.3+18.6+( - 18.6), the order of 18.6 and - 4.3 is changed.

Step2: Group terms

The property used is the Associative Property of Addition ((a + b)+c=a+(b + c)). In the step from 12.2 + - 4.3+18.6+( - 18.6) to 12.2 + - 4.3+[18.6+( - 18.6)], 18.6 and - 18.6 are grouped together.

Step3: Simplify additive inverses

The property used is the Inverse Property of Addition (a+( - a)=0). Since 18.6+( - 18.6) = 0.

Answer:

  1. Commutative Property of Addition
  2. Associative Property of Addition
  3. Inverse Property of Addition