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Allen is showing his work in simplifying −8.3 + 9.2 − 4.4 + 3.7. Identify any errors in his work or in his reasoning.

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

A: He did not make any errors.

B: Step 1: He wrote −4.4 incorrectly as + 4.4.

C: Step 2: He identified changing the order of the numbers as the commutative property, which is incorrect.

D: Step 3: He identified changing the grouping of the numbers as the associative property, which is incorrect.

Sagot :

Jerin212223idn

In 1. He did not use the correct of making it an additive inverse. Usually to make additive inverse, one has to add the same numbers but opposite signs with it to result for a zero.

So the answer for step 1. would be... - 8.3 + 8.3 + 9.2 - 9.2 - 4.4 + 4.4 + 3.7 - 3.7

In 2. he also had errors because commutative property states that we can place the numbers in a different format but the result number will always be the same.

So the original problem is −8.3 + 9.2 − 4.4 + 3.7  which results 0.2                                     but in Allen's workout: −8.3 + 4.4 + 9.2 + 3.7 results 9

Actually the answer is B.  cuz A is incorrect because he made errors. D is also incorrect because changing the grouping of numbers are commutative property. And step 2 is actually commutative so its not incorrect.
answer above is correct!
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