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.

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

Question

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.


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