Question

Tom is showing his work in simplifying (5.2 - 8.5) - 0.5 + 6.8. In which step did Tom make an error?

Step 1:: (5.2 - 8.5) - 0.5 + 6.8

Step 2: 5.2 + (-8.5 - 0.5) + 6.8 (distributive property)

Step 3: 5.2 - 9 + 6.8

Step 4: 5.2 + 6.8 - 9 (commutative property)

Step 5: 12 - 9 = 3
A.
Step 2; he wrote distributive instead of commutative
B.
Step 2; he wrote distributive instead of associative
C.
Step 4; he wrote commutative instead of associative
D.
Step 4; he wrote commutative instead of distributive

Answer 1

4 is it i think tell me when you got it

Answer 2

SOLUTION

TO FIND THE ERROR

Tom is showing his work in simplifying

(5.2 - 8.5) - 0.5 + 6.8.

In which step did Tom make an error?

Step 1 : (5.2 - 8.5) - 0.5 + 6.8

Step 2 : 5.2 + (-8.5 - 0.5) + 6.8 (distributive property)

Step 3 : 5.2 - 9 + 6.8

Step 4 : 5.2 + 6.8 - 9 (commutative property)

Step 5: 12 - 9 = 3

Options

A.

Step 2; he wrote distributive instead of commutative

B.

Step 2; he wrote distributive instead of associative

C.

Step 4; he wrote commutative instead of associative

D.

Step 4; he wrote commutative instead of distributive

CONCEPT TO BE IMPLEMENTED

ASSOCIATIVE PROPERTY UNDER ADDITION

For three Real Numbers a , b , c

$\sf{a + (b + c) = (a + b) + c}$

DISTRIBUTIVE PROPERTY

For three Real Numbers a , b , c

$\sf{a \times (b + c) = (a \times b) + (a \times c)}$

COMMUTATIVE PROPERTY UNDER ADDITION

For two Real Numbers a , b

$\sf{a + b = b + a}$

EVALUATION

From above it is clear that Tom made an error in Step 2

He wrote Distributive law instead of Associative law

Hence the correct option is

B. Step 2 : He wrote distributive instead of associative

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