Question

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?

Answer 1

Answer: Explained.

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

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

`(0.07)/(2.8)=(0.07* 100)/(2.8* 100)=(7)/(280).`

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

`(8)/(0.2)=(80)/(2)=40>8.`

Thus, explained.