Question

(01.02 MC)Maya is showing her work in simplifying (5.2 − 4.5) − 5.5 + 4.8. Identify any error in her work or reasoning. Step 1: (5.2 − 4.5) − 5.5 + 4.8 Step 2: 5.2 + (− 4.5 − 5.5) + 4.8 (identity property) Step 3: 5.2 − 10 + 4.8 Step 4: 5.2 + 4.8 − 10 (commutative property) Step 5: 10 − 10 = 0

Answer 1

C.

she wrote identity instead of associative in step 2

Answer 2

we are given

(5.2 − 4.5) − 5.5 + 4.8

we will check each steps

we always use PEMDAS rule

P: Parenthesis

E: Exponent

M: Multiplication

D: Division

A: Addition

S: Subtraction

Step 1: (5.2 − 4.5) − 5.5 + 4.8

This is same as original

so, this is TRUE

Step 2: 5.2 + (− 4.5 − 5.5) + 4.8 (identity property)

we know that

identity property is

0+a=a

so, this is FALSE

Step 3: 5.2 − 10 + 4.8

this is TRUE

Step 4: 5.2 + 4.8 − 10 (commutative property)

we know that commutative property is

a+b=b+a

so, this is TRUE

Step 5:

10 − 10 = 0

this is TRUE