(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
2 answers:
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
Answer:
C.
she wrote identity instead of associative in step 2
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