Respuesta :

Answer:

After correcting error of Mia and solving the expression[tex]0.38 \times 3 \div(-1/20)\times5\div(-8)[/tex] we get 14.25

Step-by-step explanation:

The given expression is:[tex]0.38 \times 3 \div(-1/20)\times5\div(-8)[/tex]

First I solve the expression, and then will point the error

[tex]0.38 \times 3 \div(-1/20)\times5\div(-8)\\Converting \ \div \ sign \ into \ \times the \ term \ is \ inverted\\=0.38 \times 3 \times(-20)\times5\times(-1/8)\\=0.38\times 3 \times-20\times5\times-1/8\\=1.14 \times-20\times5\times-1/8\\=-22.8\times5\times-1/8\\=-114\times-1/8\\=\frac{-114}{-8}\\=14.25[/tex]

So, the mistake Mia did was when she inverted division sign into multiplication, she didn't invert the term next to division sign.

The step she did was: [tex]0.38 \times 5 \times(1/20)\times3\times(-8)[/tex]

While the correct step was: [tex]0.38 \times 3 \times(-20)\times5\times(-1/8)[/tex]

After correcting error of Mia and solving the expression[tex]0.38 \times 3 \div(-1/20)\times5\div(-8)[/tex] we get 14.25

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