Eva is showing her work in simplifying (7.3 – 7.2) – 3.8 + 3.7. In which step did Eva make an error? Step 1: (7.3 – 7.2) – 3.8 + 3.7 Step 2: 7.3 + (–7.2 – 3.8) + 3.7 (commutative property) Step 3: 7.3 – 11 + 3.7 Step 4: 7.3 + 3.7 – 11 (commutative property) Step 5: 11 – 11 = 0 Step 2; she wrote commutative instead of distributive Step 4; she wrote commutative instead of distributive Step 4; she wrote commutative instead of associative Step 2; she wrote commutative instead of associative
Answer:
Mistake made by Eva is:
Step 2; she wrote commutative instead of associative
Step-by-step explanation:
Associative property states that if a,b and c are three elements then,
a+(b+c)=(a+b)+c
and Commutative property states that
a+b=b+a
Step 1: (7.3 – 7.2) – 3.8 + 3.7
Step 2: 7.3 + (–7.2 – 3.8) + 3.7 (associative property)
Step 3: 7.3 – 11 + 3.7
Step 4: 7.3 + 3.7 – 11 (commutative property)
Step 5: 11 – 11 = 0
Hence, Mistake made by Eva is:
Step 2; she wrote commutative instead of associative