Question

4. Allen is showing his work in simplifying -8.3 + 9.2 - 4.4 + 3.7. Identify and explain any errors in his work or in his reasoning. Write feedback to Allen explaining the mistake he made and how to correct his work. (5 points) Step Work Reasoning −8.3 + 9.2 − 4.4 + 3.7 Original problem 1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse 2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property 3 −8.3 + (4.4 + 9.2 + 3.7) Associative property 4 −8.3 + 17.3 Simplify 5 9 Simplify

Answer 1

-8.3 + 9.2 - 4.4 + 3.7

= -8.3 + 9.2 + (-4.4) + 3.7 {Additive inverse}

= -8.3 + (-4.4) + 9.2 + 3.7 {Commutative Property}

= [ -8.3 + (-4.4] + [ 9.2 + 3.7] {Associative property}

= - 12.7 + 12.9

= 0.2

Explanation: