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.
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
1 answer
1 answer