Question

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 1

Answer is 

Step 2; she wrote commutative instead of associative

Answer 2

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