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Question
molly used these steps to determine the total number of cans.
step 1: $27 + 68 + 32 + 93$
step 2: $27 + 93 + 68 + 32$
step 3: $(27 + 93) + (68 + 32)$
step 4: $120 + 100$
step 5: $220$
molly collected 220 cans.
in step 2, molly used the select choice property.
in step 3, molly used the select choice property.
select choice
commutative
associative
distributive
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Brief Explanations
- Step 2 rearranges the order of addends ($27 + 68 + 32 + 93$ to $27 + 93 + 68 + 32$), which matches the Commutative Property of Addition ($a + b = b + a$).
- Step 3 groups addends without changing their order ($(27 + 93) + (68 + 32)$), which matches the Associative Property of Addition ($(a + b) + c = a + (b + c)$).
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In step 2, Molly used the Commutative Property.
In step 3, Molly used the Associative Property.