Question

Catron evaluates the expression (negative 9) (2 and two-fifths) using the steps below.

Step 1: (Negative 9) (2 + two-fifths)
Step 2: (Negative 9) (Negative 2) + (negative 9) (two-fifths)
Step 3: Negative 18 + (negative 9) (two-fifths)
Step 4: (negative 27) (two-fifths)
Solution: Negative StartFraction 54 over 5 EndFraction = Negative 10 and four-fifths

Which describes Catron’s error?
She incorrectly broke up 2 and two-fifths.
She incorrectly distributed the –9; she should have distributed 2.
She did not follow order of operations.
She incorrectly converted from an improper fraction to a mixed number.

Answer 1

Answer:

Catron's error is

"She did not follow order of operations"

Step-by-step explanation:

Catron evaluates the expression (negative 9) (2 and two-fifths)

That expression can be written as below

$(-9)(2\frac{2}{5})$

Catron's error is

"She did not follow order of operations"

The corrected steps are

Step1: Given expression is $(-9)(2\frac{2}{5})$

Step2: Convert mixed fraction into improper fraction

$(-9)(2\frac{2}{5})=(-9)(\frac{12}{5})$

Step3: Multiplying the terms

$(-9)(2\frac{2}{5})=-7\frac{-108}{5}$

Therefore solution $(-9)(2\frac{2}{5})=-7\frac{-108}{5}$

Answer 2

Answer:

Catron'error is that She incorrectly broke up 2 and two-fifths.

Step-by-step explanation:

Following Catron steps we have:

$-9(2 + \frac{2}{5} )\\-9(-2) + (-9)(\frac{2}{5} )\\-18 + (-9)(\frac{2}{5} )\\-27(\frac{2}{5} )\\-\frac{54}{5} = - 10\frac{4}{5}$

Catron did not represent the problem correctly.

The correct step is:

$-9(2 \frac{2}{5} )\\-9(\frac{10 + 2}{5} )\\-9(\frac{12}{5} )\\-(\frac{108}{5} )\\= - 21\frac{3}{5}$