Question
Andrew is showing his work in simplifying −4.5 + 4.2 + 5.6 − 7.3. Identify any errors in his work or in his reasoning. Write feedback to Andrew explaining the mistake he made and how to correct his work. (5 points)
Step Work Reasoning
−4.5 + 4.2 + 5.6 − 7.3 Original problem
1 −4.5 + 4.2 + 5.6 + (−7.3) Additive inverse
2 −4.5 + (−7.3) + 4.2 + 5.6 Commutative property
3 (−4.5 + (−7.3)) + (4.2 + 5.6) Associative property
4 −11.8 + 9.8 Simplify
5 −21.6 Simplify
Please show error
Step Work Reasoning
−4.5 + 4.2 + 5.6 − 7.3 Original problem
1 −4.5 + 4.2 + 5.6 + (−7.3) Additive inverse
2 −4.5 + (−7.3) + 4.2 + 5.6 Commutative property
3 (−4.5 + (−7.3)) + (4.2 + 5.6) Associative property
4 −11.8 + 9.8 Simplify
5 −21.6 Simplify
Please show error
Answers
GPT 3.5
The error in Andrew's work is in step 2. In this step, he incorrectly applies the commutative property when rearranging the terms. The correct rearrangement should be (-4.5 + 5.6) + (4.2 + (-7.3)).
To correct this mistake, Andrew should switch the order of the terms, but he should not change the signs. The correct equation should be: -4.5 + (-7.3) + 4.2 + 5.6.
By following this correction, Andrew will arrive at the correct answer.
To correct this mistake, Andrew should switch the order of the terms, but he should not change the signs. The correct equation should be: -4.5 + (-7.3) + 4.2 + 5.6.
By following this correction, Andrew will arrive at the correct answer.