teas
contestada

1. Explain why 0.07/2.8 haa the same answer as 7/280.

2. Why does dividing 8 by a decimal less than 1 give a quotient greater than 8?

Respuesta :

Answer: Explained.

Step-by-step explanation:  The explanations are as follows :

(1) We have after multiplying both numerator and denominator by 100 that

[tex]\dfrac{0.07}{2.8}=\dfrac{0.07\times 100}{2.8\times 100}=\dfrac{7}{280}.[/tex]

Thus, both the fractions have the same meaning.

(2) Let us divide 8 by a decimal less than one, then we must multiply both numerator and denominator by a power of 10, which lesds to a quotient greater than 8. Suppose the decimal is 0.2, then we have

[tex]\dfrac{8}{0.2}=\dfrac{80}{2}=40>8.[/tex]

Thus, explained.

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