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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
He did not make any errors.
Step 1: He wrote −4.4 incorrectly as + 4.4.
Step 2: He identified changing the order of the numbers as the commutative property, which is incorrect.
Step 3: He identified changing the grouping of the numbers as the associative property, which is incorrect.

Sagot :

Step-by-step explanation: First, you use the PEMDAS method which is parenthese, exponent, multiplication division, addition and subtraction.

So,  there is parenthese, exponent, multiplaction or division.

Now, first you add -8.3 + 9.2= 0.9, then subtract 0.9 by 4.4= -3.5, now add -3.5 + 3.7= 0.2

Use the original problem and use the PEMDAS method.

Hope this helps!!

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