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PART D

Three students evaluated three different expressions using the real number properties and the order of operations. Answer each question based on the processes they used and their results.

Student 1: 5 - 2(4 + 9) - 11
5 - 2(4) - 2(9) -11
5 - 8 - 18 -11
5 + (-8) + (-18) + (-11)
-3 + (-18) + (-11)
-21 + (-11)
-32
Student 2: -9 + (6 + 9) - 42
-9 + (9 + 6) - 42
(-9 + 9) + 6 - 42
0 + 6 - 42
0 + 6 - 16
0 + 6 + (-16)
6 + (-16)
-10
Student 3: -4(14) - 32 - 2 ∙ 0
-4(10 + 4) - 32 - 2 ∙ 0
-4(10) - 4(4) - 32 - 2 ∙ 0
-40 - 16 - 32 - 2 ∙ 0
-40 - 16 - 9 - 2 ∙ 0
-56 - 9 - 2 ∙ 0
-65 - 2 ∙ 0
-67 ∙ 0
0


Question: Multiple Choice

Which of the students used the commutative property to simplify their expression? Select all that are true.

Student 1
Student 2
Student 3
None of the students

User Marqs
by
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1 Answer

5 votes
Student 2: -9 + (6 + 9) - 42
-9 + (9 + 6) - 42
(-9 + 9) + 6 - 42
0 + 6 - 42
0 + 6 - 16
0 + 6 + (-16)
6 + (-16)
-10


student 2 did

hope this helps

since it is only addition and subtraction, you can mix the orders up, as long as you use the correct sign
User PJQuakJag
by
8.3k points

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